JEE Main 2014PhysicsAlternating CurrentHardMCQ

JEE Main 2014 — Alternating Current Question with Solution

JEE Main 2014 (09 Apr Online)

Question

When the rms voltages V L ,  V C and V R are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio V L : V C : V R =1:2:3. If the rms voltage of the AC source is 100 V, then V R is close to :

Choose an option

Show full solutionCorrect option: D
Correct answer
D90 V

Step-by-step explanation

V L : V C : V R =1:2:3

V rms =100 V then V R =?



Let V L =x, then V C =2x and V R =3x

using  V= V R 2 + ( V c − V L ) 2
1 0 0 = 3 x 2 + 2 x - x 2

1 0 0 = 1 0 x 2




    x = 1 0 0 1 0 =10 10

∴    V R = 3 x  = 30 10 ≈90 V

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About this question

This is a previous-year question from JEE Main 2014, 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.