Question

There is a LCR circuit , If it is compared with a damped oscillation of mass m oscillating with force constant k and damping coefficient 'b'. Compare the terms of damped oscillation with the devices in LCR circuit.

(1) L → m , C → 1/k, R → b

(2) L → m , C → k, R → b

(3) L → k , C → b, R → m

(4) L → 1/m, C → 1/k, R → 1/b

Answer 1

Answer is (1)

In damped oscillation 

ma + bv + kx = 0

In the circuit

-iR - Ldr/dt - q/c = 0

Ld²q/dt² + Rdq/dt + 1/c.q = 0   ...(ii)

Comparing equation (i) and (ii)

m = L, b = R, k = 1/c