Question

A series RLC circuit has R = 10 Ω, |XL| = 20 Ω and |XC| = 20 Ω is connected across an AC supply of 200 Vrms. The RMS voltage across the capacitor is ____________ (a) 200∠-90° V (b) 200∠90° V (c) 400∠90° V (d) 400∠-90° V The question was asked in my homework. My doubt is from Advanced Problems on Magnetically Coupled Circuits in portion 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

Right choice is (d) 400∠-90° V The explanation is: Q = \frac{|X_L|}{R} = \frac{|X_C|}{R} So, Q = \frac{20}{10} = 2 Rms voltage across capacitor, VCrms = QV∠-90° Or, VCrms = 2 X 200∠-90° Or, VCrms = 400∠-90° V.