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 Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

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.