In the circuit given below, the values of V1 and V2 respectively are _________(a) 0 and5V(b) 5 and 0 V(c) 5 and 5 V(d) 2.5 and 2.5 VI 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

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

1.	In the circuit given below, the values of V1 and V2 respectively are _________(a) 0 and5V(b) 5 and 0 V(c) 5 and 5 V(d) 2.5 and 2.5 VI 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» 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.

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