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JEE Main20207 Jan 2020Morning ShiftPhysicsAlternating CurrentActual

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

Options

  1. AL ↔ m , C ↔ k , R ↔ b
  2. BL ↔ 1 b , C ↔ 1 m , R ↔ 1 k
  3. CL ↔ k , C ↔ b , R ↔ m
  4. DL ↔ m , C ↔ 1 k , R ↔ b

Correct answer

D. L ↔ m , C ↔ 1 k , R ↔ b

Step-by-step solution

In damped oscillation m a + b v + k x = 0 m d 2 x d t 2 + b d x d t + k x = 0 … . . i In the circuit - i R - L d i d t - q c = 0 L d 2 q d t 2 + R d q d t + 1 c . q = 0 . . i i Comparing equation (i) and (ii) m = L , b = R , k = 1 c

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