An inductor coil stores 32 J of magnetic field energy and dissipates energy as heat at the rate of 320 W when a current of 4 A is passed through it. The time constant of the circuit when this coil is joined across an ideal battery will be

Question

An inductor coil stores 32 J of magnetic field energy and dissipates energy as heat at the rate of 320 W when a current of 4 A is passed through it. The time constant of the circuit when this coil is joined across an ideal battery will be, 0.2 s, 0.3 s, 0.4 s, 0.5 s

MARKS App · Accepted Answer

We know that U = 1 2 L I 2 ⇒ 32 = 1 2 L 4 2 ⇒ L = 4 H And power P = I 2 R ⇒ 320 = 4 2 R ⇒ R = 20 Ω We know that τ = L R ⇒ τ = 4 20 ⇒ τ = 0.2 s

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