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An inductor coil stores 32 J of magnetic...

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

A

`0.2 s`

B

`0.1 s`

C

`0.3 s`

D

`0.4 s`

Text Solution

Verified by Experts

The correct Answer is:
A
Let inductance of coil is `L` and resistance is `R`
`U=1/2LI^(2) implies 32=1/2xxLxx(4)^(2)`
`L=4H`
`P=I^(2)R implies 320=(4)^(2)xxR`
`R=20 omega`
`tau=L/R=4/20=0.25`
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