Question

A series RLC circuit has R = 50 Ω, L = 0.01 H and C = 0.04 × 10^-6 F. System voltage is 100 V. The frequency, at which the maximum voltage appears across the capacitor, is? (a) 5937.81 Hz (b) 7370 Hz (c) 7937.81 Hz (d) 981 Hz This question was addressed to me in an online quiz. The origin of the question is Problems of Series Resonance Involving Frequency Response of Series Resonant Circuit 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

Right option is (c) 7937.81 Hz Explanation: Frequency fc at which VC is maximum fc = \(\frac{1}{2π}\Big[\frac{1}{0.01×0.01×10^{-6}} – \frac{50×50}{2×0.01×0.01}\Big]^{0.5}\) So, fc = 7937.81 Hz.