This document provides an overview of direct current (DC) circuits and circuit analysis techniques. It defines key concepts like voltage sources, current sources, ideal and real sources, and dependent and independent sources. It also explains Kirchhoff's laws, nodal analysis, and mesh analysis. Kirchhoff's current law states that the algebraic sum of currents at a node is zero. Kirchhoff's voltage law states that the algebraic sum of voltages in a closed loop is zero. Nodal analysis uses Kirchhoff's current law to set up equations relating node voltages. Mesh analysis uses Kirchhoff's voltage law to set up equations relating mesh currents.
An electric circuit is a path in which electrons from a voltage or current source flow. The point where those electrons enter an electrical circuit is called the "source" of electrons.
An electric circuit is a path in which electrons from a voltage or current source flow. The point where those electrons enter an electrical circuit is called the "source" of electrons.
This Slide is made of many important information which are very easily discussed in this slide briefly. I hope, after watching this slide , you will get some analytical information on Alternative Current(AC).Actually, this slide was made for my University Presentation.
Chapter 2, Fundamentals of Electric circuits, Charles Alexander, Circuit reduction techniques, application of Kirchoff's laws, Delta-Wye transformation, Voltage and Current division
these slides are the dedicated to the circuit analysis theory with solved example of independent sources.
For better experience don't forget the use of navigations.
Don't forget to leave your valuable comments
Thank you!
This Slide is made of many important information which are very easily discussed in this slide briefly. I hope, after watching this slide , you will get some analytical information on Alternative Current(AC).Actually, this slide was made for my University Presentation.
Chapter 2, Fundamentals of Electric circuits, Charles Alexander, Circuit reduction techniques, application of Kirchoff's laws, Delta-Wye transformation, Voltage and Current division
these slides are the dedicated to the circuit analysis theory with solved example of independent sources.
For better experience don't forget the use of navigations.
Don't forget to leave your valuable comments
Thank you!
Image result for Electrical circuits
An electric circuit is a path in which electrons from a voltage or current source flow. The point where those electrons enter an electrical circuit is called the "source" of electrons.
talk about local and social housing providerswilliam perrin
Presentation to a range of social housing providers in the UK about how a hyperlocal website run by and for your residents can help make for a better community.
Ekeeda Provides Online Video Lectures, Tutorials & Engineering Courses Available for Top-Tier Universities in India. Lectures from Highly Trained & Experienced Faculty!
Ekeeda - First Year Enginering - Basic Electrical EngineeringEkeedaPvtLtd
The First Year engineering course seems more like an extension of the subjects that students have learned in their 12th class. Subjects like Engineering Physics, Chemistry, and Mathematics, are incorporated into the curriculum. Students will learn about some of the engineering subjects in this first year, and these subjects are similar to all the branches. Everyone will learn some basics related to the other streams in their first year. Ekeeda offers Online First Year Engineering Courses for all the Subjects as per the Syllabus.
An electric circuit is a path in which electrons from a voltage or current source flow. The point where those electrons enter an electrical circuit is called the "source" of electrons.
This presentation provides an explanation of Active & Passive Circuit Element: Independent & dependent voltage & current sources, R, L, C, and Their mathematical modes, Voltage current power relations, Series and Parallel circuits, Kirchhoff's Laws. It also provides an information about
Classification of elements with numerical examples.
Rai University provides high quality education for MSc, Law, Mechanical Engineering, BBA, MSc, Computer Science, Microbiology, Hospital Management, Health Management and IT Engineering.
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
Automobile Management System Project Report.pdfKamal Acharya
The proposed project is developed to manage the automobile in the automobile dealer company. The main module in this project is login, automobile management, customer management, sales, complaints and reports. The first module is the login. The automobile showroom owner should login to the project for usage. The username and password are verified and if it is correct, next form opens. If the username and password are not correct, it shows the error message.
When a customer search for a automobile, if the automobile is available, they will be taken to a page that shows the details of the automobile including automobile name, automobile ID, quantity, price etc. “Automobile Management System” is useful for maintaining automobiles, customers effectively and hence helps for establishing good relation between customer and automobile organization. It contains various customized modules for effectively maintaining automobiles and stock information accurately and safely.
When the automobile is sold to the customer, stock will be reduced automatically. When a new purchase is made, stock will be increased automatically. While selecting automobiles for sale, the proposed software will automatically check for total number of available stock of that particular item, if the total stock of that particular item is less than 5, software will notify the user to purchase the particular item.
Also when the user tries to sale items which are not in stock, the system will prompt the user that the stock is not enough. Customers of this system can search for a automobile; can purchase a automobile easily by selecting fast. On the other hand the stock of automobiles can be maintained perfectly by the automobile shop manager overcoming the drawbacks of existing system.
Explore the innovative world of trenchless pipe repair with our comprehensive guide, "The Benefits and Techniques of Trenchless Pipe Repair." This document delves into the modern methods of repairing underground pipes without the need for extensive excavation, highlighting the numerous advantages and the latest techniques used in the industry.
Learn about the cost savings, reduced environmental impact, and minimal disruption associated with trenchless technology. Discover detailed explanations of popular techniques such as pipe bursting, cured-in-place pipe (CIPP) lining, and directional drilling. Understand how these methods can be applied to various types of infrastructure, from residential plumbing to large-scale municipal systems.
Ideal for homeowners, contractors, engineers, and anyone interested in modern plumbing solutions, this guide provides valuable insights into why trenchless pipe repair is becoming the preferred choice for pipe rehabilitation. Stay informed about the latest advancements and best practices in the field.
Water scarcity is the lack of fresh water resources to meet the standard water demand. There are two type of water scarcity. One is physical. The other is economic water scarcity.
Quality defects in TMT Bars, Possible causes and Potential Solutions.PrashantGoswami42
Maintaining high-quality standards in the production of TMT bars is crucial for ensuring structural integrity in construction. Addressing common defects through careful monitoring, standardized processes, and advanced technology can significantly improve the quality of TMT bars. Continuous training and adherence to quality control measures will also play a pivotal role in minimizing these defects.
Forklift Classes Overview by Intella PartsIntella Parts
Discover the different forklift classes and their specific applications. Learn how to choose the right forklift for your needs to ensure safety, efficiency, and compliance in your operations.
For more technical information, visit our website https://intellaparts.com
Student information management system project report ii.pdfKamal Acharya
Our project explains about the student management. This project mainly explains the various actions related to student details. This project shows some ease in adding, editing and deleting the student details. It also provides a less time consuming process for viewing, adding, editing and deleting the marks of the students.
CFD Simulation of By-pass Flow in a HRSG module by R&R Consult.pptxR&R Consult
CFD analysis is incredibly effective at solving mysteries and improving the performance of complex systems!
Here's a great example: At a large natural gas-fired power plant, where they use waste heat to generate steam and energy, they were puzzled that their boiler wasn't producing as much steam as expected.
R&R and Tetra Engineering Group Inc. were asked to solve the issue with reduced steam production.
An inspection had shown that a significant amount of hot flue gas was bypassing the boiler tubes, where the heat was supposed to be transferred.
R&R Consult conducted a CFD analysis, which revealed that 6.3% of the flue gas was bypassing the boiler tubes without transferring heat. The analysis also showed that the flue gas was instead being directed along the sides of the boiler and between the modules that were supposed to capture the heat. This was the cause of the reduced performance.
Based on our results, Tetra Engineering installed covering plates to reduce the bypass flow. This improved the boiler's performance and increased electricity production.
It is always satisfying when we can help solve complex challenges like this. Do your systems also need a check-up or optimization? Give us a call!
Work done in cooperation with James Malloy and David Moelling from Tetra Engineering.
More examples of our work https://www.r-r-consult.dk/en/cases-en/
About
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
Technical Specifications
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
Key Features
Indigenized remote control interface card suitable for MAFI system CCR equipment. Compatible for IDM8000 CCR. Backplane mounted serial and TCP/Ethernet communication module for CCR remote access. IDM 8000 CCR remote control on serial and TCP protocol.
• Remote control: Parallel or serial interface
• Compatible with MAFI CCR system
• Copatiable with IDM8000 CCR
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
Application
• Remote control: Parallel or serial interface.
• Compatible with MAFI CCR system.
• Compatible with IDM8000 CCR.
• Compatible with Backplane mount serial communication.
• Compatible with commercial and Defence aviation CCR system.
• Remote control system for accessing CCR and allied system over serial or TCP.
• Indigenized local Support/presence in India.
• Easy in configuration using DIP switches.
2. What is DC circuit?
• Direct current (DC) circuits basically consist
of a loop of conducting wire (like copper)
through which an electric current flows. An
electric current consists of a flow of electric
charges, analogous to the flow of water (water
molecules) in a river. In addition to the copper
wire in a circuit there usually are components
such as resistors which restrict the flow of
electric charge, similar to the way rocks and
debris in a river restrict the flow of the river
water.
3. Continue..
• Common DC circuit
diagram is shown in
figure containing
resistors and battery.
Fig 1
4. Voltage source
• A voltage source is a two terminal device
which can maintain a fixed voltage. An ideal
voltage source can maintain the fixed voltage
independent of the load resistance or the output
current. However, a real-world voltage source
cannot supply unlimited current. A voltage source
is the dual of a current source. Real-world sources
of electrical energy, such as batteries, generators,
and power systems, can be modeled for analysis
purposes as a combination of an ideal voltage
source and additional combinations
of impedance elements.
5. Cont..
A schematic diagram of a real
voltage source, V, driving a
resistor, R, and creating a
current I
Fig 2
6. Ideal voltage source
• An ideal voltage source is a two-terminal device
that maintains a fixed voltage drop across its
terminals. It is often used as a mathematical
abstraction that simplifies the analysis of real
electric circuits. If the voltage across an ideal
voltage source can be specified independently of
any other variable in a circuit, it is called
an independent voltage source. Conversely, if the
voltage across an ideal voltage source is
determined by some other voltage or current in a
circuit, it is called a dependent or controlled
voltage source.
7. Cont..
• A mathematical model of an amplifier will
include dependent voltage sources whose
magnitude is governed by some fixed relation
to an input signal, for example. In the analysis
of faults on electrical power systems, the whole
network of interconnected sources and
transmission lines can be usefully replaced by
an ideal (AC) voltage source and a single
equivalent impedance
9. Current sources
• A current source is an electronic circuit that delivers or
absorbs an electric current which is independent of the
voltage across it.
• A current source is the dual of a voltage source. The
term constant-current 'sink' is sometimes used for
sources fed from a negative voltage supply. Figure 1
shows the schematic symbol for an ideal current source,
driving a resistor load. There are two types – an
independent current source (or sink) delivers a constant
current. A dependent current source delivers a current
which is proportional to some other voltage or current in
the circuit.
11. Dependent and independent source
• Dependent sources:-
• In the theory of electrical networks, a dependent
source is a voltage source or a current source whose
value depends on a voltage or current somewhere else
in the network.
• Dependent sources are useful, for example, in
modeling the behavior of amplifiers. A bipolar junction
transistor can be modeled as a dependent current
source whose magnitude depends on the magnitude of
the current fed into its controlling base terminal.
12. Cont..
• An operational amplifier can be described as a
voltage source dependent on the differential
input voltage between its input
terminals. Practical circuit elements have
properties such as finite power capacity,
voltage, current, or frequency limits that
mean an ideal source is only an approximate
model. Accurate modelling of practical devices
requires using several idealized elements in
combination.
13. Classification
Dependent sources can be classified as follows:
a)Voltage-controlled voltage source: The source delivers
the voltage as per the voltage of the dependent element.
b)Voltage-controlled current source: The source delivers the
current as per the voltage of the dependent element.
c)Current-controlled current source: The source delivers the
current as per the current of the dependent element.
d)Current-controlled voltage source: The source delivers the
voltage as per the current of the dependent element.
15. Independent sources
• An independent voltage source maintains a
voltage (fixed or varying with time) which is
not affected by any other quantity. Similarly
an independent current source maintains a
current (fixed or time-varying) which is
unaffected by any other quantity. The usual
symbols are shown in figure
17. Star Delta connection circuit
• The Y-Δ transform, also written wye-delta and also
known by many other names, is a mathematical
technique to simplify the analysis of an electrical
network. The name derives from the shapes of the
circuit diagrams, which look respectively like the letter
Y and the Greek capital letter Δ. This circuit
transformation theory was published by Arthur Edwin
Kennelly in 1899. It is widely used in analysis of three-
phase electric power circuits.
• The Y-Δ transform can be considered a special case of
the star-mesh transform for three resistors.
19. Cont..
• The transformation is used to establish equivalence
for networks with three terminals. Where three
elements terminate at a common node and none are
sources, the node is eliminated by transforming the
impedances. For equivalence, the impedance
between any pair of terminals must be the same for
both networks. The equations given here are valid for
complex as well as real impedances.
• Equations for the transformation from Δ-load to Y-
load 3-phase circuit
• The general idea is to compute the impedance at a
terminal node of the Y circuit with impedances , to
adjacent node in the Δ circuit by
20. Cont..
• where are all impedances in the Δ circuit. This yields the
specific formulae
21. Cont..
• Equations for the transformation from Y-load to
Δ-load 3-phase circuit.
• The general idea is to compute an impedance in
the Δ circuit by
• where is the sum of the products of all pairs of
impedances in the Y circuit and is the impedance
of the node in the Y circuit which is opposite the
edge with . The formula for the individual edges
are thus
23. Kirchhoff's laws
• Kirchoff’s current law:-
• This law is also called Kirchhoff's first
law, Kirchhoff's point rule, or Kirchhoff's junction
rule (or nodal rule).
• The principle of conservation of electric
charge implies that:
• At any node (junction) in an electrical circuit, the
sum of currents flowing into that node is equal to
the sum of currents flowing out of that node, or:The
algebraic sum of currents in a network of conductors
meeting at a point is zero.Recalling that current is a
signed (positive or negative) quantity reflecting
direction towards or away from a node, this
principle can be stated as:
24. Cont..
• n is the total number of branches with currents
flowing towards or away from the node.
• The law is based on the conservation of charge
whereby the charge (measured in coulombs) is the
product of the current (in amperes) and the time (in
seconds).
25. Cont..
The current entering any junction is
equal to the current leaving that
junction. i2 + i3 = i1 + i4
Page No: 1.16 from Elements of Electrical Engineering ( J.N.Swamy)
26. Kirchoff’s voltage law
• This law is also called Kirchhoff's second
law, Kirchhoff's loop (or mesh) rule, and Kirchhoff's
second rule.
• The principle of conservation of energy implies that
• The directed sum of the electrical potential
differences (voltage) around any closed network is
zero, or:More simply, the sum of the emfs in any
closed loop is equivalent to the sum of the potential
drops in that loop, or:The algebraic sum of the
products of the resistances of the conductors and the
currents in them in a closed loop is equal to the
total emf available in that loop.Similarly to KCL, it can
be stated as:
27. Cont..
The sum of all the voltages
around the loop is equal to zero.
v1+ v2 + v3 - v4 = 0
Page No: 1.17 from Elements of Electrical Engineering ( J.N.Swamy)
28. Cont..
• Here, n is the total number of voltages
measured. The voltages may also be complex:
• This law is based on the conservation of energy
whereby voltage is defined as the energy per
unit charge. The total amount of energy gained
per unit charge must equal the amount of
energy lost per unit charge, as energy and
charge are both conserved.
29. Nodal Analysis
• Circuit Nodes and Loops:-
• Node:- A node is a point where two or more
circuit elements are connected.
• Loop:- A loop is formed by tracing a closed path
in a circuit through selected basic circuit
elements without passing through any
intermediate node more than once
30. Example: Find the Nodes
+
-
Vs
node
Page No: 2.35 self making from Circuits and Networks (U.A.Patel)
31. Example: Find the loops
loop
Page No: 2.35 self making from Circuits and Networks (U.A.Patel)
33. Methods of Analysis
• Introduction
• Nodal analysis
• Nodal analysis with voltage source
• Mesh analysis
• Mesh analysis with current source
• Nodal and mesh analyses by inspection
• Nodal versus mesh analysis
34. Steps of Nodal Analysis
1. Choose a reference (ground) node.
2. Assign node voltages to the other nodes.
3. Apply KCL to each node other than the reference
node; express currents in terms of node voltages.
4. Solve the resulting system of linear equations for
the nodal voltages.
35. Common symbols for indicating a reference node,
(a) common ground, (b) ground, (c) chassis.
self making from Circuits and Networks (U.A.Patel)
36. 1. Reference Node
The reference node is called the ground node
where V = 0
+
–
V 500W
500W
1kW
500W
500W
I1 I2
Page No: 2.53 self making from Circuits and Networks (U.A.Patel)
37. Steps of Nodal Analysis
1. Choose a reference (ground) node.
2. Assign node voltages to the other nodes.
3. Apply KCL to each node other than the reference
node; express currents in terms of node voltages.
4. Solve the resulting system of linear equations for
the nodal voltages.
38. 2. Node Voltages
V1, V2, and V3 are unknowns for which we solve
using KCL
500W
500W
1kW
500W
500W
I1 I2
1 2 3
V1 V2 V3
Page No: 2.37 self making from Circuits and Networks (U.A.Patel)
39. Steps of Nodal Analysis
1. Choose a reference (ground) node.
2. Assign node voltages to the other nodes.
3. Apply KCL to each node other than the
reference node; express currents in terms of
node voltages.
4. Solve the resulting system of linear equations for
the nodal voltages.
40. 3. Mesh Analysis
• Mesh analysis: another procedure for
analyzing circuits, applicable to planar circuit.
• A Mesh is a loop which does not contain any
other loops within it
41. (a) A Planar circuit with crossing branches,
(b) The same circuit redrawn with no crossing branches.
self making from Circuits and Networks (U.A.Patel)
42. • Steps to Determine Mesh Currents:
1. Assign mesh currents i1, i2, .., in to the n meshes.
2. Apply KVL to each of the n meshes. Use Ohm’s
law to express the voltages in terms of the mesh
currents.
3. Solve the resulting n simultaneous equations to
get the mesh currents.
44. • Apply KVL to each mesh. For mesh 1,
• For mesh 2,
123131
213111
)(
0)(
ViRiRR
iiRiRV
223213
123222
)(
0)(
ViRRiR
iiRViR
45. • Solve for the mesh currents.
• Use i for a mesh current and I for a branch
current. It’s evident from Fig. 3.17 that
2
1
2
1
323
331
V
V
i
i
RRR
RRR
2132211 ,, iiIiIiI
46. • Find the branch current I1, I2, and I3 using mesh
analysis.
self making from Circuits and Networks (U.A.Patel)
47. • For mesh 1,
• For mesh 2,
• We can find i1 and i2 by substitution method
or Cramer’s rule. Then,
123
010)(10515
21
211
ii
iii
12
010)(1046
21
1222
ii
iiii
2132211 ,, iiIiIiI
48. • Use mesh analysis to find the current I0 in the
circuit.
self making from Circuits and Networks (U.A.Patel)
49. • Apply KVL to each mesh. For mesh 1,
• For mesh 2,
126511
0)(12)(1024
321
3121
iii
iiii
02195
0)(10)(424
321
12322
iii
iiiii
50. • For mesh 3,
• In matrix from become
we can calculus i1, i2 and i3 by Cramer’s rule, and
find I0.
02
0)(4)(12)(4
,A,nodeAt
0)(4)(124
321
231321
210
23130
iii
iiiiii
iII
iiiiI
0
0
12
211
2195
6511
3
2
1
i
i
i
51. Mesh Analysis with Current Sources
A circuit with a current source.
Page no. 2.36 self making from Circuits and Networks (U.A.Patel)
52. • Case 1
– Current source exist only in one mesh
– One mesh variable is reduced
• Case 2
– Current source exists between two meshes, a
super-mesh is obtained.
A21 i