Question

The value of the voltage VO in the circuit given below is __________ (a) 20 V (b) 30 V (c) 40 V (d) 50 V I got this question during an online interview. I'd like to ask this question from Advanced Problems on Superposition Theorem topic in portion 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 (b) 30 V For explanation: Using Superposition Theorem, the current IB is given by, IB = \(\frac{70}{4||20+2||10} × \frac{20}{4+20} + \frac{50}{10+4||20||2} × \frac{20||2}{4+20||2} – \frac{2I_B}{20||2+4||10} × \frac{10}{4+10}\) Or, IB = \(\frac{35}{3} + \frac{25}{18} – \frac{11}{36}\) IB Now, Solving for IB, we get, IB = \(\frac{\frac{35}{3}+\frac{25}{18}}{1+\frac{11}{36}}\) = 10 A Now, VO = 70 − 4ib ∴ VO = 30 V.