Question

In the circuit given below, the value of R is _________ (a) 10 Ω (b) 18 Ω (c) 24 Ω (d) 12 Ω The question was asked by my college director while I was bunking the class. My question is based upon Advanced Problems on Network Theory topic in division Network Theory and Complex Circuit Diagram 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

Right answer is (d) 12 Ω Best explanation: By KCL, ∴ \frac{V_P-40}{1} + \frac{V_P-100}{14} + \frac{V_P}{2} = 0 Or, 22 VP = 660 ∴ VP = 30 V Potential difference between node x and y = 60 V ∴ -I – 5 + \frac{40-30}{I} = 0 Or, I = 5 A ∴ R = \frac{60}{5} = 12 Ω.