Question

An RLC series circuit has a resistance R of 20Ω and a current which lags behind the applied voltage by 45°. If the voltage across the inductor is twice the voltage across the capacitor, the value of inductive resistance is ____________ (a) 10 Ω (b) 20 Ω (c) 40 Ω (d) 60 Ω The question was asked in class test. Asked question is from Problems Involving Coupling Coefficient in chapter Resonance & Magnetically Coupled Circuit 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 (c) 40 Ω The explanation is: Z = 20 + j20 V = VR = j (VL – VC) Given, VL = 2 VC Or, ZL = 2 ZC Or, ZL – ZC = 20 Or, 2 ZC – ZC = 20 Or, ZC = 20 Ω Or, ZL = 2ZC = 40 Ω.