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JEE Main 202120 JulyEvening Shift
Exam
JEE Main
Year
2021
Date
20 July
Shift
Evening Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2021 · 20 July · Evening Shift · Physics · Alternating Current

For a series LCR circuit with R = 100Ω, L = 0 . 5mH and C = 0 . 1pF...

For a series LCRLCR circuit with R=100Ω,L=0.5mHR = 100Ω, L = 0 . 5mH and C=0.1pFC = 0 . 1pF connected across 220V−50Hz220V - 50Hz ACAC supply, the phase angle between
current and supplied voltage and the nature of the circuit is:

Options

  1. A0°,0 ° , resistive circuit
  2. B≈90°,\approx 90 ° , predominantly inductive circuit
  3. C0°,0 ° , resonance circuit
  4. D≈90°,\approx 90 ° , predominantly capacitive circuit

Correct answer

D. ≈90°,\approx 90 ° , predominantly capacitive circuit

Step-by-step solution

R = 100Ω</p><p></p><p>{X}_{L} = \omegaL = 50\pi \times {10}^{- 3}</p><p></p><p>{X}_{C} = \dfrac{1}{\omegaC} = \dfrac{{10}^{11}}{100\pi}</p><p></p><p>{X}_{C} ≫ {X}_{L}</p><p>and∣XC−XL∣≫R</p><p>and \left|{X}_{C} - {X}_{L}\right| ≫ R

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