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Question 20234
JEE Physics · Hard

Electromagnetic Induction and Alternating Current: LC Circuit — Charge as Function of Time MCQ

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LC Circuit — Charge as Function of TimeHardQuestion 20234

Question

A capacitor (C = 2 μF, initial charge Q₀) connected to an inductor L = 8 mH oscillates. Its angular frequency is approximately:
  1. A
    7906 rad/s
    Correct
  2. B
    5000 rad/s
  3. C
    7071 rad/s
  4. D
    10000 rad/s

Correct answer

7906 rad/s

Explanation

ω=1/LC=1/(8×10−3)(2×10−6)=1/1.6×10−8≈<strong>7906 rad/s</strong>ω=1/\sqrt{LC}=1/\sqrt{(8×10^{-3})(2×10^{-6})}=1/\sqrt{1.6×10^{-8}}≈<strong>7906\text{ rad/s}</strong>.

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