Question

A 440 V, 50 HZ AC source supplies a series LCR circuit with a capacitor and a coil. If the coil has 100 mΩ resistance and 15 mH inductance, then at a resonance frequency of 50 Hz, what is the value of the capacitor? (a) 676 μF (b) 575 μF (c) 591 μF (d) 610 μF I got this question during an interview for a job. The above asked question is from Problems of Series Resonance Involving Frequency Response of Series Resonant Circuit topic 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

The correct answer is (a) 676 μF Explanation: We know that fo = \(\frac{1}{2π\sqrt{LC}}\) Or, 50 = \(\frac{1}{2π\sqrt{5×10^{-3}×C}}\) Or, C = \(\frac{1}{4π^2×50^2×15×10^{-3}}\) ≈ 676 μF.