Thevenin's Theorem:
Statement:
Thevenin’s theorem states that “ a linear two terminal circuit can be replaced by an equivalent circuit which have a voltage source VTh in series with a resistor RTh where VTh is the open circuit voltage at the terminals and RTh is the effective resistance seen by the terminals.
Explanation of Thevenin’s Theorem:
The Thevenin’s statement is explained with the help of a circuit shown below.
Let us consider a simple DC circuit as shown in the figure above, where we have to find the load current IL by the Thevenin’s theorem. In order to find the equivalent voltage source, rL is removed from the circuit as shown in the figure below and Voc or VTH is calculated
Now, to find the internal resistance of the network (Thevenin’s resistance or equivalent resistance) in series with the open circuit voltage VOC , also known as Thevenin’s voltage VTH, the voltage source is removed or we can say it is deactivated by a short circuit (as the source does not have any internal resistance) as shown in the figure below
As per Thevenin’s Statement, the load current is determined by the circuit shown above and the equivalent Thevenin’s circuit is obtained.
The Load current IL is given as
Where,
Steps for Solving Thevenin’s Theorem:
Step 1 : First of all remove the load resistance rL of the given circuit.
Step 2 : Replace all the impedance source by their internal resistance.
Step 3 : If sources are ideal then short circuit the voltage source and open the current source.
Step 4 : Now find the equivalent resistance at the load terminals know as Thevenin’s Resistance (RTH).
Step 5 : Draw the Thevenin’s equivalent circuit by connecting the load resistance and after that determine the desired response.
This theorem is possibly the most extensively used networks theorem. It is applicable where it is desired to determine the current through or voltage across any one element in a network. The Thevenin’s Theorem is an easy way to solve the complicated network.
Statement:
Thevenin’s theorem states that “ a linear two terminal circuit can be replaced by an equivalent circuit which have a voltage source VTh in series with a resistor RTh where VTh is the open circuit voltage at the terminals and RTh is the effective resistance seen by the terminals.
Explanation of Thevenin’s Theorem:
The Thevenin’s statement is explained with the help of a circuit shown below.
Now, to find the internal resistance of the network (Thevenin’s resistance or equivalent resistance) in series with the open circuit voltage VOC , also known as Thevenin’s voltage VTH, the voltage source is removed or we can say it is deactivated by a short circuit (as the source does not have any internal resistance) as shown in the figure below
As per Thevenin’s Statement, the load current is determined by the circuit shown above and the equivalent Thevenin’s circuit is obtained.
The Load current IL is given as
Where,
- VTH is the Thevenin’s equivalent voltage. It is an open circuit voltage across the terminal AB known as load terminal
- RTH is the Thevenin’s equivalent resistance, as seen from the load terminals where all the sources are replaced by their internal impedance
- rL is the load resistance
Steps for Solving Thevenin’s Theorem:
Step 1 : First of all remove the load resistance rL of the given circuit.
Step 2 : Replace all the impedance source by their internal resistance.
Step 3 : If sources are ideal then short circuit the voltage source and open the current source.
Step 4 : Now find the equivalent resistance at the load terminals know as Thevenin’s Resistance (RTH).
Step 5 : Draw the Thevenin’s equivalent circuit by connecting the load resistance and after that determine the desired response.
This theorem is possibly the most extensively used networks theorem. It is applicable where it is desired to determine the current through or voltage across any one element in a network. The Thevenin’s Theorem is an easy way to solve the complicated network.
What is Thevenin's Theorem
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