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Question 20235
JEE Physics · Hard

Electromagnetic Induction and Alternating Current: RLC Damped Oscillation MCQ

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RLC Damped OscillationHardQuestion 20235

Question

In a series RLC circuit with small R, oscillations are damped. The oscillation is underdamped when:
  1. A
    R > 2√(L/C)
  2. B
    R < 2√(L/C)
    Correct
  3. C
    R = 2√(L/C)
  4. D
    R = √(L/C)

Correct answer

R < 2√(L/C)

Explanation

Critical damping occurs at R_c = 2√(L/C). For R < R_c: underdamped (oscillations decay). For R = R_c: critically damped (no oscillations, fastest return). For R > R_c: overdamped (no oscillations, slow return).

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