In the circuit given below, the value of V1 is __________(a) 32.2 V(b) -25.23 V(c) 29.25 V(d) -29.25 VI had been asked this question in a job interview.This intriguing question comes from Advanced Problems Involving Complex Circuit Diagram in portion Network Theory and Complex Circuit Diagram of Network Theory

In the circuit given below, the value of V1 is __________(a) 32.2 V(b)

1.	In the circuit given below, the value of V1 is __________(a) 32.2 V(b) -25.23 V(c) 29.25 V(d) -29.25 VI had been asked this question in a job interview.This intriguing question comes from Advanced Problems Involving Complex Circuit Diagram in portion Network Theory and Complex Circuit Diagram of Network Theory
Answer» The correct choice is (b) -25.23 V The explanation is: \(\frac{V_A}{30} + \frac{V_A-40}{12} + \frac{V_A-V_B}{8}\) = 0 Or, 29 VA – 15 VB = 400 Also, \(\frac{V_B-V_A}{8} + \frac{V_B-120}{8}\) + 6 = 0 Or, VA = 65.23 V, VB = 99.44 V V1 = 40-65.23 = -25.23 V.

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