Question

The value of voltage VO in the circuit given below is _____________ (a) 24 V (b) 48 V (c) 12 V (d) 4 V The question was posed to me in an interview for job. The origin of the question is Advanced Problems on Superposition Theorem in section 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

Correct option is (a) 24 V Best explanation: Using Superposition Theorem, we get, V∆ = −0.4V∆ × 10 + 5 × 10 Solving for V∆, we get, V∆ = \(\frac{5 × 10}{1+0.4×10}\) = 10 V Again by using Superposition Theorem, we get, I∆ = \(\frac{10}{5+20} – 0.4V_∆ \frac{20}{5+20}\) Or, I∆ = \(\frac{10}{25} – 0.4V_∆ \frac{20}{25} = -\frac{70}{25}\) A Thus, VO is given by, VO = 10 − 5I∆ ∴ VO = 24 V.