Question

In the circuit given below, the values of V1 and V2 respectively are _________

(a) 0 and  5V

(b) 5 and 0 V

(c) 5 and 5 V

(d) 2.5 and 2.5 V

I had been asked this question during an interview.

My question is from Advanced Problems on Network Theory in division Network Theory and Complex Circuit Diagram of Network Theory

Answer 1

The correct answer is (d) 2.5 and 2.5 V

To explain: I1 = \(\frac{V_1-V_2}{2}\)

Applying KCL at node 1, 5 = \(\frac{V_1}{1} + \frac{V_1-V_2}{2} + V_1 \)

10 = 2V1 + V1 – V2 + 2V1

Or, 10 = 5V1 – V2

KCL at node 2, \(\frac{V_1-V_2}{2}\) + V1  + 2I1  = V2

∴ 1.5 V1 – V2  = 0

∴ V1 = V2  = 2.5 V.