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Find the Thevenin equivalent at terminals a-b of the circuit in Fig. 4.107.
Figure 4.107
Find the Thevenin voltage and Thevenin resistance at terminals a-b of the circuit shown in Figure 4.107.
Answer to Problem 40P
The Thevenin voltage is
Explanation of Solution
Given data:
Refer to Figure 4.107 in the textbook.
The voltage source is
Calculation:
The given circuit is modified as shown in Figure 1.
In Figure 1, apply Kirchhoff’s voltage law to the outer loop as follows,
In Figure 1, the voltage
Substitute equation (2) in equation (1),
Simplify the equation as follows,
In Figure 1, apply Kirchhoff’s voltage law to the Loop 1 as follows,
Substitute
In the given circuit, find the Thevenin resistance by turning off the
The modified circuit is shown in Figure 2.
In Figure 2, apply Kirchhoff’s voltage law to the Loop 1 as follows,
In Figure 2, the voltage
Substitute
Simplify the equation as follows,
In Figure 2, the current
Substitute
Simplify the equation as follows,
In Figure 2, the Thevenin resistance is,
Substitute
Conclusion:
Thus, the Thevenin voltage is
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