Question

In the circuit given below, the value of voltage VO using Superposition Theorem is _________ (a) −30 – 10IO (b) 30 + 10IO (c) −30 + 10IO (d) +30 – 10IO The question was posed to me during an interview. Query is from Advanced Problems on Superposition Theorem topic 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

Correct answer is (c) −30 + 10IO Easy explanation: Using Superposition Theorem the voltage VX is given as, VX = (3-IO) (2||40) + 5VX \(\frac{2}{40+2}\) Or, VX = \(\frac{80}{42}(3 – I_O) + \frac{10}{42}\)VX Or, VX = \(\frac{\frac{80}{42}}{1-\frac{10}{42}}\)(3 – IO) = 2.5(3 – IO) ∴ VO = VX – 5VX = −30 + 10IO.