An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when a current of 8 A is passed through it. If this coil is joined across an ideal battery, find the ti

Question

An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when a current of 8 A is passed through it. If this coil is joined across an ideal battery, find the time constant of the circuit (in s ).

TestHub · Accepted Answer

Energy stored in an inductor, U = 1 2 L I 2 ⇒ 64 = 1 2 L ( 8 ) 2 ⇒ L = 2 H and power dissipated in a resistor, P = I 2 R ⇒ 640 = ( 8 ) 2 R ⇒ R = 10 Ω Time constant of the L R D C circuit is, τ = L R = 2 10 = 0 . 2 s

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