Question

In the circuit given below, the value of voltage VX using Superposition Theorem is _________ (a) 5(IO – 3) (b) 2.5(IO – 3) (c) 4.5(3 – IO) (d) 2.5(3 – IO) The question was posed to me in an online quiz. My enquiry is from 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

The correct answer is (d) 2.5(3 – IO) Best explanation: Using Superposition Theorem the voltage VX is given as, VX = (3-IO) (2||40) + 5VX \(\frac{2}{40+2}\) Or, VX = \(\frac{80}{42}(3 – I_O) + \frac{10}{42}V_X\) Or, VX = \(\frac{\frac{80}{42}}{1-\frac{10}{42}}(3 – I_O)\) = 2.5(3 – IO).