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QJEEM20Ph52b1: JEE Main 2020 Physics - Class 12 JEEM20Ph52b1 Solution: A LCR circuit behaves like a damped harmonic oscillator.…

A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct equivalence would be:

Multiple Choice Options

  • A L ↔ k, C ↔ b, R ↔ m
  • B L ↔ m, C ↔ k, R ↔ b
  • C L ↔ m, C ↔ 1k, R ↔ b
  • D L ↔ 1b, C ↔ 1m, R ↔ 1k

Step-by-Step Verified Solution

For spring mass damped oscillator

ma = - kx - bv

⇒ ma + kx + bv = 0

⇒ md2xdt2 + bdxdt + kx = 0 ....(1)

For LCR circuit

Ldidt + iR + qC = 0

⇒ Ld2qdt2 + Rdqdt + qC = 0 .....(2)

Comparing (1) and (2), we get

L ↔ m, C ↔ 1k, R ↔ b

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