Question

The value of the voltage V2 at the node in the circuit given below is __________

(a) 2.745 V

(b) 1.393 V

(c) -1.393 V

(d) -2.745 V

The question was asked by my school principal while I was bunking the class.

The above asked question is from Advanced Problems on Superposition Theorem in division Useful Theorems in Circuit Analysis of Network Theory

Answer 1

The correct option is (c) -1.393 V

The best explanation: The datum node is the lower branch.

By superposition, the current i is given by, i = 2 \(\frac{7}{15+5+7} + \frac{3}{15+5+7} + 4I \frac{7+15}{15+5+7}\)

Or, I = \(\frac{17}{27} + \frac{88}{27I}\)

∴ The solution for i yields, I = \(\frac{\frac{17}{27}}{1 – \frac{88}{27}} = -\frac{17}{61}\) A

∴ V2 = 5I = -1.393 V.