Question

In the circuit given below, the value of Z which would cause parallel resonance at 500 Hz is ___________ (a) 125 mH (b) 34.20 μF (c) 2 μF (d) 0.05 μF I had been asked this question by my college professor while I was bunking the class. I want to ask this question from Problems Involving Standard Time Functions in section Application of the Laplace Transform in Circuit Analysis 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 (d) 0.05 μF The best explanation: At resonance the circuit should have unity power factor Hence, Z should be capacitive. Now, \frac{1}{jLω} + \frac{1}{1/jCω} = 0 Or, \frac{-1}{jLω} + jCω = 0 ∴ C = \frac{1}{L × ω^2} = \frac{1}{2 × (2π × 500)^2} = 0.05 μF.