This document contains instructions and procedures for experiments on basic electrical and mechanical engineering concepts. It includes 7 experiments: 1) Ohm's Law, 2) Characteristics of series and parallel DC circuits, 3) Kirchhoff's voltage laws, 4) Kirchhoff's current laws, 5) Analysis of a silicon diode characteristic curve, 6) Analysis of half-wave and full-wave rectifiers, and 7) Identification of diode schematic symbols and observation of normal operations in a diode circuit. The experiments are designed to investigate circuit laws and properties of series, parallel, and diode circuits through construction of circuits and measurement of voltages and currents. Procedures and observations are recorded in tables for analysis and verification of theoretical concepts.
Cascaded H-bridge multilevel inverter (CHBMI) is able to generate a staircase AC output voltage with low switching losses. The switching angles applied to the CHBMI have to be calculated and arranged properly in order to minimize the total harmonic distortion (THD) of the output voltage waveform. In this paper, two non-iterative switching-angle calculation techniques applied for a 15-level binary asymmetric CHBMI are proposed. Both techniques employ a geometric approach to estimate the switching angles, and therefore, the generated equations can be solved directly without iterations, which are usually time-consuming and challenging to be implemented in real-time. Apart from this, both techniques are also able to calculate the switching angles for a wide range of modulation index. The proposed calculation techniques have been validated via MATLAB simulation and experiment.
This paper presents a MATLAB/Simulink model for a 9-level cascaded H-bridge multilevel inverter with mismatched DC voltage sources. The impact of mismatched DC voltage sources on the performance of the 9-level CHBMI is investigated. Due to the mismatched voltages among DC voltage sources, the output fundamental voltage is different from the input reference voltage. To address this problem, a switching-angle calculation technique that accounts for mismatched as well as varying DC voltage sources is demonstrated. The switching angles obtained using this technique is able to produce the desired output fundamental voltage for a wide range of input reference voltages. Since this switching-angle calculation technique does not require complex iterative computation, it has the potential for real-time implementation.
Adoption of Park’s Transformation for Inverter Fed DriveIJPEDS-IAES
Park’s transformation in the context of ac machine is applied to obtain quadrature voltages for the 3-phase balanced voltages. In the case of a inverter fed drive, one can adopt Park’s transformation to directly derive the quadrature voltages in terms simplified functions of switching parameters. This is the main result of the paper which can be applied to model based and predictive control of electrical machines. Simulation results are used to compare the new dq voltage modelling response to conventional direct – quadrature (dq) axes modelling response in direct torque control – space vector modulation scheme. The proposed model is compact, decreases the computation complexity and time. The model is useful especially in model based control implemented in real time, in terms of a simplified set of switching parameters.
Study the Line Length Impact on the Effective of Overvoltage Protection in th...IJAEMSJORNAL
The overvoltage protection devices on low-voltage power lines (SPD) are often made using GDA and MOV technology. The selection, proper use and installation of overvoltage protective devices, taking into account the effect of line length and the types of combinations that will affect the protection efficiency, is essential. This paper builds GDA and MOV models with high similarities to the prototype. The evaluation of protection efficiency with different types of coordination and the effect of line length was investigated by simulation-modeling method in simulink environment of Matlab software.
Simulations of a typical CMOS amplifier circuit using the Monte Carlo methodIJERA Editor
In the present paper of Microelectronics, some simulations of a typical circuit of amplification, using a CMOS transistor, through the computational tools were performed. At that time, PSPICE® was used, where it was possible to observe the results, which are detailed in this work. The imperfections of the component due to manufacturing processes were obtained from simulations using the Monte Carlo method. The circuit operating point, mean and standard deviation were obtained and the influence of the threshold voltage Vth was analyzed.
Sharing of the Output Current of A Voltage Source Inverter between Controlled...IDES Editor
When a two level VSI feeds an induction motor, the
motor current is almost sinusoidal though the voltages at the
terminals have substantial high frequency harmonics. Further
the load current is shared between the controlled switch and
the antiparallel diodes .These essential features of a two level
VSI are studied in this paper using MATLAB simulation.
High Speed, Low Power Current Comparators with HysteresisVLSICS Design
This paper, presents a novel idea for analog current comparison which compares input signal current and reference currents with high speed, low power and well controlled hysteresis. Proposed circuit is based on current mirror and voltage latching techniques which produces rail to rail output voltage as a result of current comparison. The same design can be extended to a simple current comparator without hysteresis (or very less hysteresis), where comparator gives high accuracy (less than 50nA) and speed at the cost of moderate power consumption. The comparators are designed optimally and studied at 180nm CMOS process technology for a supply voltage of 3V.
Multilevel inverters offers less distortion and less electro-magnetic interference compared with other conventional inverters and hence, it can be used in many industrial and commercial applications. This paper analyze the performance of the modified single phase seven level symmetrical inverter using minimum number of switches. The proposed topology consists of six switches and two dc sources, and produces seven level output voltage waveform during symmetric operation. The cost and size of the propsoed inverter minimum as it uses minimum number of components, The performance of the proposed multilevel inverter is analysed for different switching angles and the corresponding simulation results are presented. The simulation of the proposed inverter is carried out using MATLAB/Simulink software.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
Indirect 3D-Space Vector Modulation for a Matrix ConverterAhmed Mohamed
Ahmed Abdelrehim
Abstract—This paper discusses the indirect space vector
modulation for a four-leg matrix converter. The four-leg matrix
converter has been proven to be a reliable, cost-effective, and
compact power electronic interface to supply unbalanced or
nonlinear loads. However, the added fourth leg has shifted the
inverter side modulation from simple two-dimension SVM into
complex three-dimension. This paper employs a new technique to
implement indirect 3D SVM in digital controllers with further
simplification in the modulation process. Moreover, Simulink
simulation using repetitive controller has been performed to
regulate the output voltage for 400 Hz Power supplies.
Page 1 of 4 Direct Current (DC) Circuits Introduct.docxbunyansaturnina
Page 1 of 4
Direct Current (DC) Circuits
Introduction
In this lab, we will get acquainted with various components of electrical circuits. We will learn:
how to make simple circuits using a battery (or power supply), light bulbs, resistors; draw the
circuit diagram; how to use color code to read the resistance of the resistor; how to use the
measuring tools like a digital multimeter – DMM; how to connect the DMM to measure the
resistance, voltage and current. We will learn how to simplify the circuit by replacing the circuit
diagram with an equivalent one. Text reference: Young and Freedman §§ 26.1, 26.3.
We will investigate the behavior of direct current (DC) electrical circuits. We will study the flow
of electrical current in a circuit from the battery or power supply, through the wires, and through
various combinations of light bulbs and/or resistors.
A simple electrical circuit usually has a power (energy) source such as a battery or power supply
and resistors such as a light bulb or a carbon resistor. Here are the symbols for some electrical
components you may see in circuit diagrams of the lab manuals of this lab course:
A closed circuit is a path along which current carriers (electrons in conductors) can flow. Current
does not flow in an open circuit. A circuit in which there is a single pathway is known as a series
circuit whereas a circuit that has multiple (more than one) possible paths is known as a parallel
circuit.
Resistors impede the flow of current in a circuit. We assume that connecting leads (conductors)
have negligible resistance, while the insulators have very large resistance. Many resistors obey
Ohm’s Law (V = IR), which states that the current I through a resistance R is proportional to the
voltage V across the resistor. We will study Ohm’s law in the next lab class experiment.
Part 1. Light Bulbs
1. Simple circuit
Make a simple circuit using a battery or DC power supply, a light bulb (in its holder), and some of
the connecting leads.
a) What happens to the light bulb when you close the circuit?
___________________________________________________________________
b) Draw a circuit diagram representing your circuit using the symbols from above:
Try to remember how brightly the bulb is shining in step 1.
Page 2 of 4
2. Light bulbs in Series
Now add a second identical bulb in series (you will need to disconnect your circuit first).
a) Draw a proper diagram representing your circuit. What do you observe about the light
intensity (brightness) in each bulb compared to a single bulb in the previous step?
__________________________________________________________________
b) What happens if you remove one of the light bulbs from its holder?
_________________________________________________________________
3. Light bulbs in Parallel
Disconnect the circuit from step 2 and add the second bulb in parallel to the first.
a) Draw a proper diagram repres.
ELC 131 Lab 4 Series-Parallel and Bridge CircuitsIntroduction Vi.docxtoltonkendal
ELC 131 Lab 4: Series-Parallel and Bridge Circuits
Introduction: Virtually all electronic products are filled with components that are connected both in series and in parallel to form circuits that are coupled, or combined, in order to perform a desired function. The key component to analyzing series-parallel circuits is the ablility to recognize which components are connected in series and which components are connected in parallel.
Objectives: Upon completion of this lab exercise the student will be able to:
1. Identify which components are connected in series and which components are connected in parallel in a series-parallel circuit; calculate the total resistance of a simple series-parallel circuit.
2. Calculate and measure the current flow through and the voltage dropped across any component in a simple series-parallel circuit.
3. Calculate the node voltages of a ladder network.
4. Recognize a circuit as being a bridge configuration; determine the value of resistance that will balance a bridge circuit when the resistance of three arms is given.
5. Describe an operation of a bridge circuit used to sense a change in temperature.
Parts and Equipment:variable DC power supply and leads
DMM and meter leads
resistors, 1 W minimum: 360 Ω, 470 Ω, 680 Ω, 1 kΩ, 2.2 kΩ, 5.1 kΩ, 10 kΩ,
18 kΩ.
potentiometer, 25 kΩ
NTC thermistor, R0=10 kΩ
resistance substitution box
spring board and wires as needed
Prelab: Complete Section 1 Step 1 and Step 2.
Complete Section 2 Step 1.
Complete Section 3 Step 1.
Section 1: Series-Parallel Circuits
Before beginning the analysis of a series-parallel circuit, you must recognize which components are connected in parallel and which components are connected in series. Refer to the circuit of Figure 1. Resistors R2 and R3 are connected in parallel. Resistor R1 is in series with both the parallel combination of R2 and R3 and the source.
The current supplied by the source, IT, flows through R1. IT splits into two branch currents, IR2 and IR3, at node A. These two branch currents combine a node B and flow back into the source.
Figure 1: Series-Parallel Circuit Example
Calculating the total resistance is the first step in analyzing a series-parallel circuit. To find the total resistance of a series-parallel circuit, the circuit has to be simplified, one part at a time, until a simple series or a simple parallel circuit remains.
For the circuit of Figure 1, first the resistance of R2 in parallel with R3 is calculated as follows:
Now, the series-parallel circuit can be reduced to the simple series circuit shown in Figure 2.
Figure 2: Circuit of Figure 1 Reduced to a Series Circuit
The total resistance of the circuit of Figure 1 is calculated as follows:
The current supplied by the source is calculated using Ohm’s law as follows:
The voltage dropped across each of the resistors is calculated using Ohm’s law as follows:
The source current, IT, flows through R1.
The current through R2 is calculated .
Cascaded H-bridge multilevel inverter (CHBMI) is able to generate a staircase AC output voltage with low switching losses. The switching angles applied to the CHBMI have to be calculated and arranged properly in order to minimize the total harmonic distortion (THD) of the output voltage waveform. In this paper, two non-iterative switching-angle calculation techniques applied for a 15-level binary asymmetric CHBMI are proposed. Both techniques employ a geometric approach to estimate the switching angles, and therefore, the generated equations can be solved directly without iterations, which are usually time-consuming and challenging to be implemented in real-time. Apart from this, both techniques are also able to calculate the switching angles for a wide range of modulation index. The proposed calculation techniques have been validated via MATLAB simulation and experiment.
This paper presents a MATLAB/Simulink model for a 9-level cascaded H-bridge multilevel inverter with mismatched DC voltage sources. The impact of mismatched DC voltage sources on the performance of the 9-level CHBMI is investigated. Due to the mismatched voltages among DC voltage sources, the output fundamental voltage is different from the input reference voltage. To address this problem, a switching-angle calculation technique that accounts for mismatched as well as varying DC voltage sources is demonstrated. The switching angles obtained using this technique is able to produce the desired output fundamental voltage for a wide range of input reference voltages. Since this switching-angle calculation technique does not require complex iterative computation, it has the potential for real-time implementation.
Adoption of Park’s Transformation for Inverter Fed DriveIJPEDS-IAES
Park’s transformation in the context of ac machine is applied to obtain quadrature voltages for the 3-phase balanced voltages. In the case of a inverter fed drive, one can adopt Park’s transformation to directly derive the quadrature voltages in terms simplified functions of switching parameters. This is the main result of the paper which can be applied to model based and predictive control of electrical machines. Simulation results are used to compare the new dq voltage modelling response to conventional direct – quadrature (dq) axes modelling response in direct torque control – space vector modulation scheme. The proposed model is compact, decreases the computation complexity and time. The model is useful especially in model based control implemented in real time, in terms of a simplified set of switching parameters.
Study the Line Length Impact on the Effective of Overvoltage Protection in th...IJAEMSJORNAL
The overvoltage protection devices on low-voltage power lines (SPD) are often made using GDA and MOV technology. The selection, proper use and installation of overvoltage protective devices, taking into account the effect of line length and the types of combinations that will affect the protection efficiency, is essential. This paper builds GDA and MOV models with high similarities to the prototype. The evaluation of protection efficiency with different types of coordination and the effect of line length was investigated by simulation-modeling method in simulink environment of Matlab software.
Simulations of a typical CMOS amplifier circuit using the Monte Carlo methodIJERA Editor
In the present paper of Microelectronics, some simulations of a typical circuit of amplification, using a CMOS transistor, through the computational tools were performed. At that time, PSPICE® was used, where it was possible to observe the results, which are detailed in this work. The imperfections of the component due to manufacturing processes were obtained from simulations using the Monte Carlo method. The circuit operating point, mean and standard deviation were obtained and the influence of the threshold voltage Vth was analyzed.
Sharing of the Output Current of A Voltage Source Inverter between Controlled...IDES Editor
When a two level VSI feeds an induction motor, the
motor current is almost sinusoidal though the voltages at the
terminals have substantial high frequency harmonics. Further
the load current is shared between the controlled switch and
the antiparallel diodes .These essential features of a two level
VSI are studied in this paper using MATLAB simulation.
High Speed, Low Power Current Comparators with HysteresisVLSICS Design
This paper, presents a novel idea for analog current comparison which compares input signal current and reference currents with high speed, low power and well controlled hysteresis. Proposed circuit is based on current mirror and voltage latching techniques which produces rail to rail output voltage as a result of current comparison. The same design can be extended to a simple current comparator without hysteresis (or very less hysteresis), where comparator gives high accuracy (less than 50nA) and speed at the cost of moderate power consumption. The comparators are designed optimally and studied at 180nm CMOS process technology for a supply voltage of 3V.
Multilevel inverters offers less distortion and less electro-magnetic interference compared with other conventional inverters and hence, it can be used in many industrial and commercial applications. This paper analyze the performance of the modified single phase seven level symmetrical inverter using minimum number of switches. The proposed topology consists of six switches and two dc sources, and produces seven level output voltage waveform during symmetric operation. The cost and size of the propsoed inverter minimum as it uses minimum number of components, The performance of the proposed multilevel inverter is analysed for different switching angles and the corresponding simulation results are presented. The simulation of the proposed inverter is carried out using MATLAB/Simulink software.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
Indirect 3D-Space Vector Modulation for a Matrix ConverterAhmed Mohamed
Ahmed Abdelrehim
Abstract—This paper discusses the indirect space vector
modulation for a four-leg matrix converter. The four-leg matrix
converter has been proven to be a reliable, cost-effective, and
compact power electronic interface to supply unbalanced or
nonlinear loads. However, the added fourth leg has shifted the
inverter side modulation from simple two-dimension SVM into
complex three-dimension. This paper employs a new technique to
implement indirect 3D SVM in digital controllers with further
simplification in the modulation process. Moreover, Simulink
simulation using repetitive controller has been performed to
regulate the output voltage for 400 Hz Power supplies.
Page 1 of 4 Direct Current (DC) Circuits Introduct.docxbunyansaturnina
Page 1 of 4
Direct Current (DC) Circuits
Introduction
In this lab, we will get acquainted with various components of electrical circuits. We will learn:
how to make simple circuits using a battery (or power supply), light bulbs, resistors; draw the
circuit diagram; how to use color code to read the resistance of the resistor; how to use the
measuring tools like a digital multimeter – DMM; how to connect the DMM to measure the
resistance, voltage and current. We will learn how to simplify the circuit by replacing the circuit
diagram with an equivalent one. Text reference: Young and Freedman §§ 26.1, 26.3.
We will investigate the behavior of direct current (DC) electrical circuits. We will study the flow
of electrical current in a circuit from the battery or power supply, through the wires, and through
various combinations of light bulbs and/or resistors.
A simple electrical circuit usually has a power (energy) source such as a battery or power supply
and resistors such as a light bulb or a carbon resistor. Here are the symbols for some electrical
components you may see in circuit diagrams of the lab manuals of this lab course:
A closed circuit is a path along which current carriers (electrons in conductors) can flow. Current
does not flow in an open circuit. A circuit in which there is a single pathway is known as a series
circuit whereas a circuit that has multiple (more than one) possible paths is known as a parallel
circuit.
Resistors impede the flow of current in a circuit. We assume that connecting leads (conductors)
have negligible resistance, while the insulators have very large resistance. Many resistors obey
Ohm’s Law (V = IR), which states that the current I through a resistance R is proportional to the
voltage V across the resistor. We will study Ohm’s law in the next lab class experiment.
Part 1. Light Bulbs
1. Simple circuit
Make a simple circuit using a battery or DC power supply, a light bulb (in its holder), and some of
the connecting leads.
a) What happens to the light bulb when you close the circuit?
___________________________________________________________________
b) Draw a circuit diagram representing your circuit using the symbols from above:
Try to remember how brightly the bulb is shining in step 1.
Page 2 of 4
2. Light bulbs in Series
Now add a second identical bulb in series (you will need to disconnect your circuit first).
a) Draw a proper diagram representing your circuit. What do you observe about the light
intensity (brightness) in each bulb compared to a single bulb in the previous step?
__________________________________________________________________
b) What happens if you remove one of the light bulbs from its holder?
_________________________________________________________________
3. Light bulbs in Parallel
Disconnect the circuit from step 2 and add the second bulb in parallel to the first.
a) Draw a proper diagram repres.
ELC 131 Lab 4 Series-Parallel and Bridge CircuitsIntroduction Vi.docxtoltonkendal
ELC 131 Lab 4: Series-Parallel and Bridge Circuits
Introduction: Virtually all electronic products are filled with components that are connected both in series and in parallel to form circuits that are coupled, or combined, in order to perform a desired function. The key component to analyzing series-parallel circuits is the ablility to recognize which components are connected in series and which components are connected in parallel.
Objectives: Upon completion of this lab exercise the student will be able to:
1. Identify which components are connected in series and which components are connected in parallel in a series-parallel circuit; calculate the total resistance of a simple series-parallel circuit.
2. Calculate and measure the current flow through and the voltage dropped across any component in a simple series-parallel circuit.
3. Calculate the node voltages of a ladder network.
4. Recognize a circuit as being a bridge configuration; determine the value of resistance that will balance a bridge circuit when the resistance of three arms is given.
5. Describe an operation of a bridge circuit used to sense a change in temperature.
Parts and Equipment:variable DC power supply and leads
DMM and meter leads
resistors, 1 W minimum: 360 Ω, 470 Ω, 680 Ω, 1 kΩ, 2.2 kΩ, 5.1 kΩ, 10 kΩ,
18 kΩ.
potentiometer, 25 kΩ
NTC thermistor, R0=10 kΩ
resistance substitution box
spring board and wires as needed
Prelab: Complete Section 1 Step 1 and Step 2.
Complete Section 2 Step 1.
Complete Section 3 Step 1.
Section 1: Series-Parallel Circuits
Before beginning the analysis of a series-parallel circuit, you must recognize which components are connected in parallel and which components are connected in series. Refer to the circuit of Figure 1. Resistors R2 and R3 are connected in parallel. Resistor R1 is in series with both the parallel combination of R2 and R3 and the source.
The current supplied by the source, IT, flows through R1. IT splits into two branch currents, IR2 and IR3, at node A. These two branch currents combine a node B and flow back into the source.
Figure 1: Series-Parallel Circuit Example
Calculating the total resistance is the first step in analyzing a series-parallel circuit. To find the total resistance of a series-parallel circuit, the circuit has to be simplified, one part at a time, until a simple series or a simple parallel circuit remains.
For the circuit of Figure 1, first the resistance of R2 in parallel with R3 is calculated as follows:
Now, the series-parallel circuit can be reduced to the simple series circuit shown in Figure 2.
Figure 2: Circuit of Figure 1 Reduced to a Series Circuit
The total resistance of the circuit of Figure 1 is calculated as follows:
The current supplied by the source is calculated using Ohm’s law as follows:
The voltage dropped across each of the resistors is calculated using Ohm’s law as follows:
The source current, IT, flows through R1.
The current through R2 is calculated .
Figure 1. Single diode -3 to 3 V current-voltage characteristi.docxmglenn3
Figure 1. Single diode -3 to 3 V current-voltage characteristic.
Plot the absolute current against voltage on a semi-log plot (Log-I vs V). You will use this plot to extract parameters from the diode’s electrical (I-V) characteristic. Paste the plot in here.
Copy in diode semi-log I-V Plot
QUESTIONS/TASKS
1. What is the current-rectification ratio at ± 3 V (I at +3 V divided by I at -3 V)?
Ans.
2. What is the saturation current I0? (I at zero bias)
Ans.
3. Estimate the series resistance Rs of the diode by extrapolating the linear portion of the I-V curve to the I = 1 mA line and evaluating Rs = ΔVd/I where ΔVd is the voltage difference between the linear extrapolation and the measured curve at 1 mA. Mark the extrapolation from the linear region of I-V data on your MS Excel graph using a simple line. (You could plot the linear region only and use the linear fit function as an alternative)
Ans.
4. Series resistance causes power loss in the diode but is inevitable. Where do you think the series resistance comes from?
Ans.
5. In an ideal semiconductor diode, the current is given by I = I0(exp(qV/kt)-1). No real diodes are ideal. Non-ideality is conveniently incorporated into the preceding equation by introducing η so that I = I0(exp(qV/ηkt)-1)
This equation can be rearranged so that η = qΔVlog(e)/kT = ΔV/0.05783 at room temperature. ΔV here is the change in junction voltage per decade of current measured from the linear part of the forward bias data on the semi-log plot. Fig. 5 shows extraction of series resistance and ideality factor from a diode current-voltage characteristic:
Figure 5. Extraction of series resistance and ideality factor from semi-log diode I-V data (taken from Microwave Mixers by S A Maas)
Estimate the ideality factor of the 1N4148 diode (to two significant figures) using the above approach.
Ans.
Data:
V2.V
I(AM1.nB)
-3
-2.52E-09
-2.999
-2.52E-09
-2.998
-2.52E-09
-2.997
-2.52E-09
-2.996
-2.52E-09
-2.995
-2.52E-09
-2.994
-2.52E-09
-2.993
-2.52E-09
-2.992
-2.52E-09
-2.991
-2.52E-09
-2.99
-2.52E-09
-2.989
-2.52E-09
-2.988
-2.52E-09
-2.987
-2.52E-09
-2.986
-2.52E-09
-2.985
-2.52E-09
-2.984
-2.52E-09
-2.983
-2.52E-09
-2.982
-2.52E-09
-2.981
-2.52E-09
-2.98
-2.52E-09
-2.979
-2.52E-09
-2.978
-2.52E-09
-2.977
-2.52E-09
-2.976
-2.52E-09
-2.975
-2.52E-09
-2.974
-2.52E-09
-2.973
-2.52E-09
-2.972
-2.52E-09
-2.971
-2.52E-09
-2.97
-2.52E-09
-2.969
-2.52E-09
-2.968
-2.52E-09
-2.967
-2.52E-09
-2.966
-2.52E-09
-2.965
-2.52E-09
-2.964
-2.52E-09
-2.963
-2.52E-09
-2.962
-2.52E-09
-2.961
-2.52E-09
-2.96
-2.52E-09
-2.959
-2.52E-09
-2.958
-2.52E-09
-2.957
-2.52E-09
-2.956
-2.52E-09
-2.955
-2.52E-09
-2.954
-2.52E-09
-2.953
-2.52E-09
-2.952
-2.52E-09
-2.951
-2.52E-09
-2.95
-2.52E-09
-2.949
-2.52E-09
-2.948
-2.52E-09
-2.947
-2.52E-09
-2.946
-2.52E-09
-2.945
-2.52E-09
-2.944
-2.52E-09
-2.943
-2.52E-09
-2.942
-2.52E-09
-2.941
-2.52E-09
-2.94
-2.52E-09
-2.939
-2.52E-09
-2.938
-2.52E-09
-2.937
-2.52E-09
-2.936
-2.52.
Electric Circuits Lab Inductors in DC CircuitsI. .docxpauline234567
Electric Circuits Lab
Inductors in DC Circuits
I.
Objectives:
After completing this lab experiment, you should be able to:
· Measure the resistance and Inductance.
· Use the Oscilloscope and Function generator.
· Measure the LR time constant using VR and VL.
· Understand the effect of series and parallel inductors on LR time constant.
II.
Parts List:
· Resistor (1) 5.1 kΩ
· Inductor (2) 100mH
III.
Procedures:
Part I:
1.
Construct the circuit shown in
Figure 1 in Multisim. (You may use either the clock voltage component or the function generator.)
PP
Figure 1: RL Circuit
2.
Connect Channel A of the oscilloscope across the resistor and Channel B across the inductor.
3.
Set the voltage source to
5VPP; 300 Hz, Square wave, 50% duty cycle
4. You should be able to see the waveform as shown below. (Use Volts/Div and Time/DIV settings to adjust the signal)
Figure 2. Voltage across the inductor and resistor
5.
Calculate the time constant of an LR circuit.
Record the result in
Table 1 below under the calculated value.
= L/R
Calculated value
Measured value using VL
Measured value using VR
Time constant ()
19.6 us
20.319 us
20.398 us
Table 1: Calculated and measured time constant values
6. Turn on the cursors on the oscilloscope
7.
Measuring the time constant with VL: (shown in Figure 3)
i.
Set Channel A to “0” to turn off Channel A signal.
ii.
Measure the peak value of the voltage across the resistor, by placing one of the cursors at the peak point _____5.002 V____.
iii.
Calculate the 37% of the above value ___1.85V______.
iv.
Place the second cursor at the voltage calculated above in step (iii).
v.
Observe the change in time (T2-T1) value on the scope, which is the value of one time constant.
vi.
Record the T2-T1 value in
Table 1 above under measured value using VL.
Figure 3: Measuring RL time constant using VL example (L = 150 mH)
Note: your scope screen will be different
8.
Set Channel B to “0” to turn it off.
9.
Set Channel A to “AC”
10. Adjust the Trigger settings, if needed, and you should be able to see the waveform as shown below. (Use Volts/Div and Time/DIV knobs to adjust the signal)
Figure 4: Voltage across the resistor
11.
Measuring the time constant: (shown in Figure 5)
i.
Measure the peak value of the signal, by placing one of the cursors (T1) at the peak point and the other cursor (T2) at the negative peak.
Calculate the total peak-to-peak voltage (T1-T2) _4.998V________.
ii.
Calculate the 63% of the above value __3.15V_______.
i.
Electric Circuits LabInstructor -----------Serie.docxpauline234567
Electric Circuits Lab
Instructor: -----------
Series RL Circuits
Student Name(s): Click or tap here to enter text.
Click or tap here to enter text.
Honor Pledge:
I pledge to support the Honor System of ECPI. I will refrain from any form of academic dishonesty or deception, such as cheating or plagiarism. I am aware that as a member of the academic community, it is my responsibility to turn in all suspected violators of the honor code. I understand that any failure on my part to support the Honor System will be turned over to a Judicial Review Board for determination. I will report to the Judicial Review Board hearing if summoned.
Date: 1/1/2018
Contents
Abstract 3
Introduction 3
Procedures 3
Data Presentation & Analysis 4
Calculations 4
Required Screenshots 4
Conclusion 4
References 5
Abstract
(This instruction box is to be deleted before submission of the Lab report)
What is an Abstract?
This should include a brief description of all parts of the lab. The abstract should be complete in itself. It should summarize the entire lab; what you did, why you did it, the results, and your conclusion. Think of it as a summary to include all work done. It needs to be succinct yet detailed enough for a person to know what this report deals with in its entirety.
Objectives of Week 2 Lab 2:
· Understand the effect of frequency on inductive reactance.
· Measure the impedance of an RL circuit.
· Measure the phase angle and phase lead of an RL circuit using the oscilloscope.
· Draw the impedance and voltage phasor diagrams.
· Understand how an inductor differentiates current.
Introduction
(This instruction box is to be deleted before submission of the Lab report)
What is an Introduction?
In your own words, explain the reason for performing the experiment and give a concise summary of the theory involved, including any mathematical detail relevant to later discussion in the report. State the objectives of the lab as well as the overall background of the relevant topic.
Address the following items in your introduction:
· What is Impedance for an RL circuit? (Give formula)
· What is phase angle for an RL circuit? How is it calculated?
· What is phase lead for an RL lead circuit? How is it calculated?
· How/why does an inductor differentiate current? Give formula.Procedures
Part I:
1.
Connect the following circuit.
Figure 1: RL Circuit
2.
Connect one DMM across the resistor and one DMM across the inductor.
Set both DMMs to read AC Voltage.
Measure the voltage drop across each component.
Record the result in
Table 1.
3. Use Ohm’s law to
calculate the current flowing through the resistor. Since the circuit in
Figure 1 is a series RL circuit, the same current will flow through the inductor and the resistor.
Record the result in
Table 1.
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Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
Final project report on grocery store management system..pdfKamal Acharya
In today’s fast-changing business environment, it’s extremely important to be able to respond to client needs in the most effective and timely manner. If your customers wish to see your business online and have instant access to your products or services.
Online Grocery Store is an e-commerce website, which retails various grocery products. This project allows viewing various products available enables registered users to purchase desired products instantly using Paytm, UPI payment processor (Instant Pay) and also can place order by using Cash on Delivery (Pay Later) option. This project provides an easy access to Administrators and Managers to view orders placed using Pay Later and Instant Pay options.
In order to develop an e-commerce website, a number of Technologies must be studied and understood. These include multi-tiered architecture, server and client-side scripting techniques, implementation technologies, programming language (such as PHP, HTML, CSS, JavaScript) and MySQL relational databases. This is a project with the objective to develop a basic website where a consumer is provided with a shopping cart website and also to know about the technologies used to develop such a website.
This document will discuss each of the underlying technologies to create and implement an e- commerce website.
Welcome to WIPAC Monthly the magazine brought to you by the LinkedIn Group Water Industry Process Automation & Control.
In this month's edition, along with this month's industry news to celebrate the 13 years since the group was created we have articles including
A case study of the used of Advanced Process Control at the Wastewater Treatment works at Lleida in Spain
A look back on an article on smart wastewater networks in order to see how the industry has measured up in the interim around the adoption of Digital Transformation in the Water Industry.
COLLEGE BUS MANAGEMENT SYSTEM PROJECT REPORT.pdfKamal Acharya
The College Bus Management system is completely developed by Visual Basic .NET Version. The application is connect with most secured database language MS SQL Server. The application is develop by using best combination of front-end and back-end languages. The application is totally design like flat user interface. This flat user interface is more attractive user interface in 2017. The application is gives more important to the system functionality. The application is to manage the student’s details, driver’s details, bus details, bus route details, bus fees details and more. The application has only one unit for admin. The admin can manage the entire application. The admin can login into the application by using username and password of the admin. The application is develop for big and small colleges. It is more user friendly for non-computer person. Even they can easily learn how to manage the application within hours. The application is more secure by the admin. The system will give an effective output for the VB.Net and SQL Server given as input to the system. The compiled java program given as input to the system, after scanning the program will generate different reports. The application generates the report for users. The admin can view and download the report of the data. The application deliver the excel format reports. Because, excel formatted reports is very easy to understand the income and expense of the college bus. This application is mainly develop for windows operating system users. In 2017, 73% of people enterprises are using windows operating system. So the application will easily install for all the windows operating system users. The application-developed size is very low. The application consumes very low space in disk. Therefore, the user can allocate very minimum local disk space for this application.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
TECHNICAL TRAINING MANUAL GENERAL FAMILIARIZATION COURSEDuvanRamosGarzon1
AIRCRAFT GENERAL
The Single Aisle is the most advanced family aircraft in service today, with fly-by-wire flight controls.
The A318, A319, A320 and A321 are twin-engine subsonic medium range aircraft.
The family offers a choice of engines
Courier management system project report.pdfKamal Acharya
It is now-a-days very important for the people to send or receive articles like imported furniture, electronic items, gifts, business goods and the like. People depend vastly on different transport systems which mostly use the manual way of receiving and delivering the articles. There is no way to track the articles till they are received and there is no way to let the customer know what happened in transit, once he booked some articles. In such a situation, we need a system which completely computerizes the cargo activities including time to time tracking of the articles sent. This need is fulfilled by Courier Management System software which is online software for the cargo management people that enables them to receive the goods from a source and send them to a required destination and track their status from time to time.
Democratizing Fuzzing at Scale by Abhishek Aryaabh.arya
Presented at NUS: Fuzzing and Software Security Summer School 2024
This keynote talks about the democratization of fuzzing at scale, highlighting the collaboration between open source communities, academia, and industry to advance the field of fuzzing. It delves into the history of fuzzing, the development of scalable fuzzing platforms, and the empowerment of community-driven research. The talk will further discuss recent advancements leveraging AI/ML and offer insights into the future evolution of the fuzzing landscape.
1. PRACTICAL WORK BOOK
For Academic Session Fall 2020
BASIC ELECTRICAL & MECHANICAL ENGINEERING
CE-116
Name: ___________________________________________
Registration # _____________________________________
Class: ____________________________________________
Batch: ____________________________________________
Semester:b _________________________________________
2. 2
List of Experiments
S# Experiments
1. Ohm’s Law
2. Characteristics of a Series & Parallel DC Circuit
3. Kirchhoff’s Voltage Laws
4. Kirchhoff’s Current Laws
5. To analyze the characteristic curve of Silicon diode.
6. To analyze the Half-wave & Full Wave rectifier.
3. Experiment No. 02
Characteristics of a Series & Parallel DC Circuit
OBJECTIVE:
To investigate the characteristics of a series DC circuit.
APPARATUS:
DMM
DC Supply (20V)
Resistors of 220Ω(R, R, Br), 330Ω (Or,Or, Br) & 470Ω(Y, Vio, Br).
THEORY:
In a series circuit, (Fig 3.1), the current is the same through all of the circuit elements.
The total Resistance RT = R1 + R2 + R3 .
By Ohm’s Law, the Current “I” is
I = E/ R T
Applying Kirchhoff’s Voltage Law around closed loop of Fig 3.1, we find.
E = V1 + V2 + V3
Where, V1= IR1 , V2= IR2 , V3= IR3
Note in Fig 2.1, that I is the same throughout the Circuit. The voltage divider rule states that the voltage
across an element or across a series combination of elements in a series circuit is equal to the resistance of
the element divided by total resistance of the series circuit and multiplied by the total impressed voltage.
For the elements of Fig 3.1
V1 =R1 E/R T , V2 =R2 E/R T , V3 =R3 E/ R T
V1= 220*20/1.24K=
5. 5
PROCEDURE:
1- Construct the circuit shown in Fig 3.2.
2- Set the Dc supply to 20V by using DMM. Pick the resistances having values 220Ω, 330Ω &
470Ω. Also verify their resistance by using DMM.
3- Measure voltage across each resistor with DMM and record it in the Table (b).
4- Measure Current I delivered by source.
5- Shut down and disconnect the power supply. Then measure input resistance R T using DMM.
Record that value.
6- Now Calculate, Total current (using I= V/ RT ) and Total Resistance R T (R T = E/I).
7- Calculate V1,V2, V3 &V4 using voltage divider rule and measured resistance value.
8- Create an open circuit by removing R3 & measure all voltages and current I.
Note: Use measured value of resistance for all calculations.
OBSERVATIONS:
a) Resistors.
S No. Nominal
Values(Ω)
Measured
Value(Ω)
R T (Measured)
(Ω)
R T (Calculated)
(R T = E/I)(Ω)
1 220 1.24k 1.24k 20/16.129m=1.24k
2 220 1.24k
3 330 1.24k
4 470 1.24k
6. 6
b) Voltages.
S.No. Measured Value(V) Calculated Value (V) (VDR)
1 3.548 220*20/1.24=3.548
2 3.548 220*20/1.24=3.548
3 5.232 330*20/1.24=5.232
4 7.581 470*20/1.24=7.581
a) Current.
S. No. Measured Value of I (A) Calculated Value (A) (Ohm’s Law)
1 16.129m 16.129
2 16.129m 16.129
3 16.129m .129
4 16.129m 16.129
CALCULATIONS:
1.20/1.24=16.129
2. 20/1.24=16.129
3. 20/1.24=16.129
4. 20/1.24=16.129
Series circuit
When a number of electrical components are connected in series, the same
current flows through all the components of the circuit.
The applied voltage across a series circuit is equal to the sum total
of voltage drops across each component.
The voltage drop across individual components is directly proportional to
its resistance value.
7. 7
Answer the following:
Q-1) What can you deduce about the characteristics of a series circuit from observation
Table ‘b’ & ‘c’?
In series circuit we observation the same flow of current total voltage of
circuit is some of
Voltage applied to a series circuit is equal to the sum of the
individual voltage drops.
________________________________________________________________________________
Q-2) Viewing observation table ‘b’, comment on whether equal resistors in series have
Equal voltage drops across them?
Ans. In series circuit we observation that a cross current is same but voltage
drop across them is
Not same individual same will be create different voltage across each
resistance.
Q-3) Referring observation table (a). Would you recommend using measured rather
than
Color coded nominal values in the future? Why?
Ans.The actual (measured) resistance will vary from the nominal value due to
subtle mechanical and chemical differences that occur during manufacturing.
8. 8
The manufacturer specifies the maximum deviation from the nominal value as a
±percentage. This range of deviation is called the tolerance of
the resistor family.
Q-4) Referring to observation table’s b & c compare open circuit condition & normal
Circuit with reference to current & voltage values.
Ans. A Normal circuit implies that the two terminals are externally connected
with resistance R=0, the same as an ideal wire. This means there is
zero voltage difference for any current value. ... An open circuit implies that the
two terminals are points are externally disconnected, which is equivalent to a
resistance R=∞.
____________________________________________________________________________
9. Characteristics of a Parallel DC Circuit
OBJECTIVE:
To investigate the characteristics of parallel dc circuits
REQUIRED:
12V DC Power Supply.
DMM.
470Ω (Y, Violet, Br).
1KΩ (Br, Black, Red).
1.8KΩ (R, Grey, Red).
THEORY:
In a parallel circuit (Fig4.1) the voltage across parallel elements is the same.
The total or equivalent resistance (RT) is given by.
1/R T =1/R 1+1/R 2+1/R3+ ------------------- +1/R N
If there are only two resistors in parallel, it is more convenient to use.
In any case, the total resistance will always be less than the resistance of the smallest resistor
Of the parallel network.
For the network of Fig 4.1. The currents are related by the following expression.
IT =I1 + I2 + I3+-----------+ IN
Applying current divider rule (CDR) & the network of Fig 4.2.
I1= R 2 I T and
R 1 + R 2
I2= R 1 I T
R 1 + R 2
11. 11
For equal parallel resistors, the current divides equally and the total resistance is the value of One divided
by the ‘N’ number of equal parallel resistors, i.e:
R T =
𝑅
𝑁
For a parallel combination of N resistors, the current Ik through Rk is.
IK= IT X
1
Rk
1
R 1
+
1
R 2
+
1
R 3
+⋯
1
RN
PROCEDURE:
1- Construct the circuit shown in Fig 4.3.
2- Set the DC supply to 12V by using DMM.Pick the resistances values 470Ω, 1KΩ & 1.8KΩ. Also
verify their resistance by using DMM.
3- Measure voltage across each resistor with DMM and record it in the Table b.
4- Measure the currents IT , I1, I2, I3.
5- Shut down & disconnect the power supply. Then measure input resistance R T using DMM. Record
that value.
6- Now calculate respective voltages (using V=IR) and R T (using equivalent resistance Formula).
7- Calculate I1, I2 , I3 using CDR.
8- Create an open circuit by removing R2 and measure all voltages and currents.
Note: Use measured value of resistance for all calculations.
12. 12
OBSERVATION:
a) Resistors:
S.
No.
Nominal Values
(Ω)
Measured Value
(Ω)
R T(Measured)
(Ω)
R T(Calculated)
(Ω)
1 R1=470Ω 9.4k(Ω) 271.529 271.529
2 R2=1kΩ 5.4k(Ω)
3 R3=1.8kΩ 3k(Ω)
b) Voltages:
S.
No.
Measured Value
(V)
Calculated Value
(Ohm’s Law)
(V)
1 V1 20 20
2 V2 20 20
3 V3 20 20
c) Current:
S.No Measured Value
(A)
Calculated Value
(A) (CDR)
1 I1=3.55u I1=3.55u
2 I2=3.55 I2=3.55u
3 I3=11.113 I3=11.113u
4 IT=18.213A IT=18.213A
13. 13
CALCULATIONS:
Rt=1/R1+ 1/R2 + 1/R2 =271.529
I=v/R
Total current It=3.55+3.55+18.213=18.213
Conclusion
Parallel circuit
Voltage drops are the same across all the components connected in parallel.
Current through individual components connected in parallel is inversely
proportional to their resistances.
Total circuit current is the arithmetic sum of the currents passing through
individual components connected in parallel.
The reciprocal of equivalent resistance is equal to the sum of the
reciprocals of the resistances of individual components connected in
parallel.
Answer the following:
Q-1) How does the total resistance compare to that of the smallest of the
three parallel resistors?
14. 14
The total resistance in a parallel circuit is less than the smallest of
the individual resistances. Each resistor in parallel has the same
voltage of the source applied to it (voltage is constant in
a parallel circuit).
Q-2) Is IT under normal circuit condition less than IT for open circuit
condition?
A short circuit implies that the two terminals are
externally connected with resistance R=0 , the same as an ideal wire.
This means there is zero voltage difference for any current value.
(Note that real wires have non-zero resistance!)
An open circuit implies that the two terminals are points are
externally disconnected, which is equivalent to a resistance R=∞ .
This means that zero current can flow between the two terminals,
regardless of any voltage difference
15. 15
Experiment No. 03
Kirchhoff’s Voltage Laws
OBJECTIVE:
To verify experimentally Kirchhoff’s Voltage and Current Law:
REQUIRED:
Resistors,
DMM,
DC power supply.
THEORY:
1) KIRCHOFF’S VOLTAGE LAW:
Explanation:
Consider the simple series circuit Fig. 5-1. Here we have numbered the points in the Circuit for
voltage reference.
As we are dealing with dc circuits, therefore we should carefully connect the voltmeter while
measuring voltage across supply or any of the resistances as shown in fig.5.2, keeping in mind the
similarity of polarities of voltage across the element and that of the connected probes of meter. In
such case,we will observe that,
This principle is known as Kirchhoff's Voltage Law,and it can be stated as such:
"The algebraic sum of all voltages in a loop must equal zero"
17. 17
CALCULATIONS:
Sum of voltage (-20+5.9+12.73+1.27=0)
Kirchhoff’s Voltage Laws the sum of current in close circuit is equal to
zero hence we prove that in KVL circuit that sum of current in close
circuit is zero.
Applied voltage V1+V2+V3+V4+(10+12+20+15=57
VS _V1_V2_V3=0 (100_15_20_v3=0) 25 –V3 =0 V3 =25
Answer the following:
Q-1) In fig.5-1 V1=10V, V2=12V, V3=20V, V4=15V. The applied voltage Vs must
then equal _57___________ V.
Q-2) In Fig.5-1,V1=15V,V2=20V and Vs = 100V. The Voltage V3 =
____25________V.
18. 18
Q-3) Is KVL verified practically as well as mathematically in the above
performed lab? If no, why?
Yes KVL is prove in practically performed as well as mathematically in above lab performed we
prove that sum ofclose circuit voltage is equal to zero.
19. 19
Experiment No. 04
Kirchhoff’s Current Laws
OBJECTIVE:
To verify experimentally Kirchhoff’s Voltage and Current Law:
REQUIRED:
Resistors,
DMM,
DC power supply.
THEORY:
2) KIRCHHOFF’S CURRENT LAW:
Let's take a closer look at the circuit given in Fig 5-3:
Then, according to Kirchoff’s Current Law:
"The algebraic sum of all currents entering and exiting a node must equal zero"
Mathematically, we can express this general relationship as such:
That is, if we assign a mathematical sign (polarity) to each current,denoting whether they enter
(+) or exit (-) a node, we can add them together to arrive at a total of zero, guaranteed.
Note:
Whether negative or positive denotes current entering or exiting is entirely arbitrary, so long as they
are opposite signs for opposite directions and we stay consistent in our notation, KCL will work.
PROCEDURE:
a) For KVL
1. Construct circuit of fig. 5-1 using the values R1 , R2, R3 as shown in the figure 5-1.
2. Adjust the output of the power supply so that Vs = 20V. Measure and record this voltage in
table. 5-1, also measure and record the voltages V1, V2, V3 and enter the sum in the same
table.
b) For KCL:
1- Connect the circuit of Fig with Vs =5 V.
2- Measure and record in currents IR1,IR2,IR3 and Itotal in Table
21. 21
Conclusion
In this lab we prove the Kcl the interring current
and exited current is equal to zero we absorbed
that the current interring is positive and exited
current is negative there sum is equal to zero.
22. 22
Answer the following:
Q-1) In fig 5-3, if IR1=5A,IR2=2A and IR3=1A, then Itotal should be
equal to _______8______ A.
Q-2) Is KCL verified practically as well as mathematically in the above
performed lab? If no, why?
According to Kcl the sum of current interring current is positive and
exited current is negative so in above equation we prove practically and
so mathematically sum of entering current and exit current is equal to
zero.
23. 23
LAB SESSION 05
OBJECTIVES
Identify diode schematic symbols
Describe Silicon based diode operating characteristics.
Identify diode construction characteristics.
Observe normal operations in a diode circuit.
APPARATUS
Power Supply.
Multimeter
Oscilloscope.
Wire Stripper
1N4007 Diode
Graph Paper
THEORY
Although the diode is a simple device, it forms the basis for an entire branch of
electronics. Transistors, integrated circuits, and microprocessors are all based on its theory
and technology. In today’s world, semiconductors are found all around us. Cars, telephones,
consumer electronics, and more depend upon solid state devices for proper operation.
PN Junction
Now, we are ready to build a diode. To do this, we need two blocks of material, one N
type and one P type.
24. 24
The resulting block of material is a diode. At the instant the two blocks are fused, their point of
contact becomes the PN junction. Some of the electrons on the N side are attracted to the P side, while
at the same time, an equal number of hole charges are attracted to the N side.
As a result, the PN junction becomes electrically neutral. The barrier in Figure 3 is greatly
exaggerated. In some semiconductor devices, the PN junction barrier may only be a few atoms thick.
The PN junction is an electrical condition, rather than a physical one.The junction has no charge; it is
depleted of charges. Thus, another name for it is the depletion zone. Because of the existence of the
depletion zone, there is no static current flow from the N material to the P material.
The diode consists of two parts or elements, the N material and the P material. Their proper
names are cathode and anode. The cathode is the N material and the anode is the P material. Electron
current flow is from the cathode to the anode. Figure 4 illustrates a PN junction diode.
Bias
Average DC level of current to set operating characteristics.
There are two types of bias in semiconductors, forward and reverse. Forward bias will
eliminate the depletion zone and cause a diode to pass current. Reverse bias will increase the
size of the depletion zone and in turn, block current. Figure 6 and 7 illustrates forward and
reverse bias.
25. 25
A diode is biased by placing a difference in potential across it. Figure 7 illustrates a
forward biased diode. Because of the positive potential applied to the anode and the negative
potential applied to the cathode, the depletion zone disappears. Current flows from the
negative terminal of the battery through the N region, across the non-existent depletion zone,
and through the P region to the positive terminal of the battery. It takes a specific value of
voltage for a diode to begin conduction. Approximately .3 volts across a germanium diode or
.7 volts across a silicon diode are necessary to provide forward bias and conduction. A
germanium diode requires a lower voltage due to its higher atomic number, which makes it
more unstable. Silicon is used far more extensively than germanium in solid state devices
because of its stability.
FIGURE 6 REVERSED BIASED DIODE FIGURE 7 FORWARD BIASED DIODE
Reverse bias is accomplished by applying a positive potential to the cathode and a negative
potential to the anode as shown in Figure 6. The positive potential on the cathode will attract electrons
from the depletion zone. At the same time, the negative potential on the anode will attract holes. The
net result is that the depletion zone will increase in size.
A forward biased diode will conduct, with only a small voltage drop over it. The
voltage drop for a forward biased germanium diode is .3 volts, while .7 volts is normal for a
silicon diode. We can say that a forward biased conducting diode is almost a short. A
reversed biased diode will not conduct. Therefore, it can be considered an open circuit. We
call a reversed biased diode cut off. Cut off refers to the current flow through the diode being
blocked, or cut off.
Diode characteristics
The diode consists of two elements, the anode and the cathode. The anode
corresponds to the P material and the cathode to the N material. Current flow is from the
cathode to the anode.
26. 26
Figure 8 illustrates a forward biased diode with current flow and the diode elements labeled. The
graph in Figure 9 depicts current flow through a diode with different values of forward and reverse bias.
PROCEDURE
PART 1. Diode Test
a. Diode testing Scale
The diode-testing scale of a DMM can be used to determine the operating condition of a
diode. With one polarity, the DMM should provide “offset voltage” of the diode, while the
reverse connection should result is an “OL” response to support the open-circuit
approximation.
Using the connections shown in fig1.2, the constant-current source of about 2
mA internal to the meter will forward bias the junction, and a voltage about 0.7 V
(700mV) will be obtained for silicon and 0.3 V (300mV) for germanium. If the leads
are reserved, an OL indication will be obtained.
TEST SILICON GERMANIUM
FORWARD RESISTANCE 0.3 0.7
27. 27
REVERSE RESISTANCE 0 0
PART 2. FORWARD-BIAS DIODE CHARACTERISTICS
The connections are made as shown in the circuit diagram.
The power supply is switched ON
Vary the voltages and note the corresponding Ammeter &Voltmeter readings
Draw VI characteristics for forward bias and reverse bias in one graph
PART 3. REVERSE-BIAS DIODE CHARACTERISTICS
The connections are made as shown in the circuit diagram.
The power supply is Switched ON.
Vary the Voltages and note the corresponding Ammeter & Voltmeter Readings
Forward Bias
Reverse Bias
31. 31
CONCLUSION
In this lab we absorbedthat During forward bias, the diode conducts
voltage-enhancing current. During reversing bias, the diode does not
conduct an increase in voltage (break down usually results in damage
of diode).
32. 32
LAB SESSION 06
OBJECTIVE
To study the half-wave rectifier.
APPARATUS
Transformer/ Function Generator
Digital Multi-meter (DMM)
Oscilloscope
Diode : Silicon (D1N4002 or equivalent)
Resistors: 2.2kΩ, 3.3kΩ
BASIC THEORY
The rectifier circuit converts the AC voltage furnished by the utilities company into the DC
voltage required to operate electronic equipment. Many common electrical products use voltages
provided by a rectifier. Without the rectifier to convert the AC voltage to the DC voltage required to
operate these electrical units, it would be virtually impossible to have the conveniences that we enjoy
today. A television without a rectifier would require several extremely large batteries. These batteries
would have to be large because of the current that is required. In other words, a television without the
rectifier would be so large that it would occupy an entire room. The rectifier is the heart of the
electronic unit.
Introduction
A rectifier system can be divided into five sections, each performing a separate function. Figure
1 is a block diagram of a rectifier system. This lesson deals with the input, rectifier, and filter sections.
Input Block
The input block consists of a transformer, normally a power transformer that receives
the AC input signal from some power source. The transformer transfers the electrical energy
received to the rectifier section by electromagnetic induction or mutual inductance. The
transformer performs the transfer of energy without any change in frequency, but it is able to
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change the voltage and current from the input source to the voltage and current required by
the rectifier section. The phase relationship of the current in the secondary of the transformer
is dependent upon the phase of the voltage in the primary winding and the direction of the
winding in the secondary. If the secondary windings are wound in the same direction as the
primary windings, the phase between the input signal and the output signal will be the same.
If the secondary windings are wound in the opposite direction of the primary windings, the
phase between the input signal and the output signal will be 180 degrees out of phase. The
schematic drawings of a transformer indicate the phase relationship between the primary and
secondary with the use of dots. The dots on a schematic diagram indicate which windings are
in phase. Figure 2 illustrates this relationship.
RectifierBlock
The rectifier circuit is the most important part in the rectifier system. The rectifier circuit
converts the AC waveform from the input block into a pulsating DC waveform. One of several
different rectifier circuits may be utilized to perform this function. These circuits are the half-wave
rectifier, the full-wave rectifier, the full-wave bridge rectifier, and the voltage doubler.
Half-Wave Rectifier
Figure 3 shows the schematic diagram for a half-wave rectifier. The half-wave rectifier is the
simplest type of rectifier; it consists of only one diode. For explanation purposes, a load resistance
must be placed in the circuit to complete the path for current flow and to develop the output signal.
The half-wave rectifier in Figure 3 is a positive half-wave rectifier. It is called a positive half-
wave rectifier because it only uses the positive portion of the input sine wave and produces a positive
pulsating DC signal. During the positive alternation of the input voltage, the positive alternation of the
sine wave causes the anode of the diode to become positive with respect to the cathode. The diode is
now forward-biased and will conduct. Current will flow from the negative side of the transformer
secondary, through the load resistor, through the diode, to the positive side of the transformer
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secondary. This path for current flow will exist during the complete positive alternation of the input
waveform because the diode will remain forward-biased as long as the positive signal is applied to the
anode. The resulting output of the rectifier will be developed across the load resistor and will be a
positive pulse very similar to the positive alternation of the input waveform. Figure 4 illustrates the
output waveform across the load resistor. During the negative alternation of the input sine wave, the
anode is negative with respect to the cathode and the diode will become reverse-biased. As long as this
condition exists, no current will flow in the circuit and an output signal cannot be developed across the
load. The circuit gives the appearance of producing a series of positive pulses. A negative half-wave
rectifier operates very similar to a positive half-wave rectifier, except the output will be a series of
negative pulses. (Refer to Figure 5.)
During the positive alternation, the diode is reverse-biased; no current will flow through the
circuit, and no signal will be developed across the load. This condition will exist any time a positive
alternation is present on the cathode. When the negative alternation is present on the cathode, the diode
is forward-biased; current flows from the negative side of the secondary through the diode, through the
load resistance, to the positive side of the secondary. This condition allows a negative pulse to be
developed across the load resistance and continues until the negative cycle is removed from the
cathode. The output of a negative half-wave rectifier will be a series of negative pulses. The amplitude
of the output is approximately the same as the peak voltage of the input signal if measured with the
oscilloscope. If a multimeter is used to measure the pulsating DC voltage, it will indicate the average
voltage. The average voltage of a sine wave is zero volts; however, if the negative portion of a sine
wave is clipped off, the average value changes to some positive value. Since the waveform swings
positive but never goes negative, the average voltage will be positive. To determine the average value
of a pulsating DC signal using a half-wave rectifier, multiply the peak voltage by .318.
PROCEDURE
Half Wave Rectification
1. Construct the circuit of Fig. 3.1. Set the supply to 6 V p-p sinusoidal wave with the frequency of
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1 kHz. Put the oscilloscope probes at function generator and sketch the input
2. Put the oscilloscope probes across the resistor and sketch the output waveform obtained.
3. Observe the waveform and measure the voltages (Vp-p) across resistor.
4. Now With your DMM, measure the dc voltage (Vdc) across the resistor.
5. Connect the Oscilloscope to display both the input voltage and the voltage across the load.
6. Compare the two waveforms and determine at which time the diode conducts.
7. Reverse the diode of circuit of Fig. 3.1. Sketch the output waveform across the resistor
RESULT
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ReversedBias Diode
The Full-Wave Bridge Rectifier
A basic full-wave bridge rectifier is illustrated in Figure 1.
A full wave bridge rectifier has one advantage over the conventional full-wave rectifier: the
amplitude of the output signal. The frequency of the positive pulses will be the same in either rectifier.
When the output signal is taken from a bridge rectifier, it is taken across the entire potential of the
transformer; thus, the output signal will be twice the amplitude of a conventional full-wave rectifier.
For the first half cycle of a bridge rectifier, refer to Figure 2.
During the first half cycle of the input signal, a positive potential is felt at Point A and a
negative potential is felt at Point B. Under this condition, a positive potential is felt on the anode of
CR3 and on the cathode of CR4. CR3 will be forward-biased, while CR4 will be reverse-biased. Also,
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a negative potential will be placed on the cathode of CR1 and the anode of CR2. CR1 will be forward-
biased, while CR2 will be reverse biased. With CR1 and CR3 forward-biased, a path for current flow
has been developed. The current will flow from the lower side of the transformer to Point D. CR1 is
forward-biased, so current will flow through CR1 to Point E, from Point E to the bottom of the load
resistor, and up to Point F. R3 is forward-biased, so current will flow through CR3, to Point C, and to
Point A. The difference of potential across the secondary of the transformer causes the current to flow.
Diodes CR1 and CR3 are forward-biased, so very little resistance is offered to the current flow by
these components. Also, the resistance of the transformer is very small, so approximately all the
applied potential will be developed across the load resistor. If the potential from Point A to Point B of
the transformer is 24 volts, the output developed across the load resistor will be a positive pulse
approximately 24 volts in amplitude.
When the next alternation of the input is felt (Figure 3), the potential across the transformer
reverses polarity. Now, a negative potential is felt at Point A and a positive potential is felt at Point B.
With a negative felt at Point C, CR4 will have a negative on the cathode and CR3 will have a negative
on the anode. A positive at Point D will be felt on the anode of CR2 and the cathode of CR1. CR4 and
CR2 will be forward-biased and will create a path for current flow. CR1 and CR3 will be reverse-
biased, so no current will flow. The path for current flow is from Point A to Point C, through CR4 to
Point E, to the lower side of the load resistor, through the load resistor to Point F, through CR2 to Point
D, and to the lower side of T1. Current flows because of the full potential being present across the
entire transformer; therefore, the current through the load resistor will develop the complete voltage
potential. The frequency of the output pulses will be twice that of the input pulses because both cycles
of the input AC voltage are being used to produce an output. The average value Vm of the rectified
voltage is:
PROCEDURE:
Full-Wave Rectification
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a) Construct the circuit of Fig. 3.2. Set the supply to 6 V p-p with the frequency of 1 kHz. Put the
oscilloscope probes at function generator (trainer board) and sketch the input waveform
obtained.
b) Put the oscilloscope probes across the resistor and sketch the output waveform obtained.
Measure and record the DC level of the output voltage using the DMM.
Figure 3.2
c) Replace diodes D3 and D4 of circuit of Fig. 3.2 by 2.2 kΩ. Draw the output waveform across
the resistor. Measure and record the DC level of the output voltage.
d) What is the major effect of replacing the two diodes (D3 and D4) with resistors?
OBSERVATION
Results and Calculations
1. Input waveform, Vi
2. Output waveform, Vo