Concept explainers
Find the Thevenin equivalent of the circuit.
Answer to Problem 45E
The Thevenin voltage is
Explanation of Solution
Calculation:
The redrawn circuit diagram is given in Figure 1,
Refer to Figure 1,
Apply Kirchhoff’s current law at node
Here,
Rearrange equation (1),
Apply Kirchhoff’s current law at node
Here,
Substitute
Rearrange for
Substitute
Rearrange the equation for
Modify the equation as,
Write the equation to find voltage
So, the Thevenin voltage is
To find equivalent resistance of a circuit the independent voltage source replaced by short circuit and load resistor is disconnected and
The redrawn circuit diagram is given in Figure 2,
Refer to the redrawn Figure 2,
Apply Kirchhoff’s current law at node
Rearrange for
Apply Kirchhoff’s current law at node
Substitute
Substitute
Rearrange for
The expression for the Thevenin equivalent resistance is as follows,
Substitute
So, the Thevenin equivalent resistance is
The Thevenin equivalent circuit is drawn as shown in Figure 3,
Conclusion:
Thus, the Thevenin voltage is
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