The document discusses Thevenin's theorem, which states that any linear electric network can be reduced to an equivalent circuit with a single voltage source (VTH) and resistor (RTH) in series. It provides steps to use the theorem: 1) open the load, 2) measure open circuit voltage (VTH), 3) short sources, 4) measure open circuit resistance (RTH). An example applies the steps to calculate VTH, RTH, load current and voltage for a given circuit. Applications include simplifying complex circuits and determining power delivered to variable loads.
Explaining about one of the popular theorems in electrical engineering, Thevenin's theorem. it gives direct idea about the theorem and its different cases of applicability. Some of easy tricks and facts are also included for convenience.
Explaining about one of the popular theorems in electrical engineering, Thevenin's theorem. it gives direct idea about the theorem and its different cases of applicability. Some of easy tricks and facts are also included for convenience.
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.
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2. Thevenin Theorem
• Thevenin Theorem states that “Any linear electric network or
complex circuit with current and voltage sources can be replaced
by an equivalent circuit containing of a single voltage source
VTH and a series resistance RTH”.
where, VTH = Thevenin voltage
RTH = Thevenin resistance
3. Steps to Analyze an Electric Circuit using
Thevenin’s Theorem
1. Open the load resistor.
2. Calculate the open circuit voltage. This is the Thevenin Voltage (VTH).
3. Open current sources and short voltage sources.
4. Calculate /measure the Open Circuit Resistance. This is the Thevenin
Resistance (RTH).
5. Now, redraw the circuit with measured open circuit Voltage (VTH) in Step (2)
as voltage source and measured open circuit resistance (RTH) in step (4) as
a series resistance and connect the load resistor which we had removed in
Step (1). This is the equivalent Thevenin circuit of that linear electric
network or complex circuit which had to be simplified and analysed
by Thevenin’s Theorem.
6. Now find the total current flowing through load resistor by using ohm’s law
IT = VTH / (RTH + RL)
4. Example
• Find VTH, RTH and the load current IL flowing through and load
voltage across the load resistor in figure 1 by using Thevenin’s
Theorem
Figure 1
6. Example
• Step 2: Calculate the open circuit voltage. This is the Thevenin
Voltage (VTH).
We have already removed the load resistor in figure 1, so the
circuit became an open circuit as shown in fig 2. Now we have
to calculate the Thevenin’s Voltage. Since 3mA current flows in
both 12kΩ and 4kΩ resistors as this is a series circuit and
current will not flow in the 8kΩ resistor as it is open.
7. Example
This way, 12V (3mA x 4kΩ) will appear across the 4kΩ resistor.
current is not flowing through the 8kΩ resistor as it is an open circuit,
but the 8kΩ resistor is in parallel with 4k resistor. So the same
voltage i.e. 12V will appear across the 8kΩ resistor as well as 4kΩ
resistor. Therefore 12V will appear across the AB terminals.
i.e, VTH = 12V
8. Example
• Step 3: Open current sources and short voltage sources as
shown below
9. Example
• Step 4: Calculate the open circuit resistance. This is the
Thevenin Resistance (RTH)
We have removed the 48V source to zero. i.e.
48V source has been replaced with a short in step 3. We can
see that 8kΩ resistor is in series with a parallel connection of 4kΩ
resistor and 12k Ω resistor. i.e
8kΩ + (4k Ω || 12kΩ)
RTH = 8kΩ + [(4kΩ x 12kΩ) / (4kΩ + 12kΩ)]
RTH = 8kΩ + 3kΩ
RTH = 11kΩ
11. Example
• Step 5: Connect the RTH in series with voltage source VTH and
re-connect the load resistor as shown below. This Thevenin’s
equivalent circuit.
12. Example
• Step 6: Now apply the last step i.e Ohm’s law. Calculate the
total load current and load voltage.
IL = VTH / (RTH + RL)
IL = 12V / (11kΩ + 5kΩ) = 12/16kΩ
IL = 0.75mA
and
VL = IL x RL
VL = 0.75mA x 5kΩ
VL= 3.75V
13. Applications
• Thevenin theorem can be used to reduce a complex circuit into a
simple circuit.
• Thevenin theorem is used in Norton’s theorem to obtain Norton’s
equivalent circuit.
• It is also used in maximum power transfer theorem to find the
equivalent resistance of the network.
• The main practical application of thevenin’s theorem is to find the
variation of voltage and power delivered to a variable load.
• It is used in power system fault analysis to find the fault current in a
branch.
14. Problem
• Find the load current and power delivered to the load by using
Thevenin theorem