JEE Main 2018PhysicsAlternating CurrentEasyMCQ

JEE Main 2018 — Alternating Current Question with Solution

JEE Main 2018 (08 Apr)

Question

For an RLC circuit driven with voltage of amplitude vm and frequency ω0=1LC the current exhibits resonance. The quality factor, Q is given by

Choose an option

Show full solutionCorrect option: B
Correct answer
Bω0LR

Step-by-step explanation

The quality factor of an L.C.R. circuit is given by, 

(Quality factor) Q=1RLC...(i)

Where L,R,C are the inductance, resistance, and conductance of the L.C.R. circuit. The given resonance frequency is, ω0=1LC

⇒C=1ω0L  ...(ii)

From (i) and (ii)

⇒Q=1RL×ω0L⇒Q=ω0LR

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About this question

This is a previous-year question from JEE Main 2018, covering the Alternating Current chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.