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AIIMS 201926 May
Exam
AIIMS
Year
2019
Date
26 May
Subject
Physics
Chapter
Alternating Current

AIIMS 2019 · 26 May · Physics · Alternating Current

In a L C R oscillatory circuit, find the energy stored in inductor...

In a LCRL C R oscillatory circuit, find the energy stored in inductor at resonance if voltage of source is 10 V10 \mathrm{~V}, resistance is 10Ω10 \Omega and inductance =1H=1 \mathrm{H}.

Options

  1. A0.5 J0.5 \mathrm{~J}
  2. B2 J2 \mathrm{~J}
  3. C4 J4 \mathrm{~J}
  4. D10 J10 \mathrm{~J}

Correct answer

A. 0.5 J0.5 \mathrm{~J}

Step-by-step solution

At resonance, current I=VZmin⁡=VR=1010=1 AI=\frac{V}{Z_{\min }}=\frac{V}{R}=\frac{10}{10}=1 \mathrm{~A} Energy of inductor =12LI2=12(1)(1)2=0.5 J=\frac{1}{2} L I^2=\frac{1}{2}(1)(1)^2=0.5 \mathrm{~J}
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