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JEE Main 202125 FebruaryEvening Shift

Exam: JEE Main
Year: 2021
Date: 25 February
Shift: Evening Shift
Subject: Physics
Chapter: Alternating Current

JEE Main 2021 · 25 February · Evening Shift · Physics · Alternating Current

An L . C . R . circuit contains resistance of 110Ω and a supply of...

An

L . C . R .

circuit contains resistance of

110Ω

and a supply of

220V

at

300rad{s}^{- 1}

angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by

45 °

. If on the other hand, the only the inductor is removed the current leads by

45 °

with the applied voltage. The

R . M . S .

current flowing in the circuit will be:

Options

A $2 . 5A$
B $2A$
C $1A$
D $1 . 5A$

Correct answer

B. $2A$

Step-by-step solution

$\tan 45 ° = \dfrac{1}{\omegaCR} = \dfrac{\omegaL}{R} ⇒ {X}_{L} = {X}_{C}$

$⇒$ resonance

$i = \dfrac{V}{R}$

$= \dfrac{220}{110} = 2A$

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