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A coil of self-inductance 50 henry is joined to the terminals of a battery of e.m.f. 2 volts through a resistance of 10 ohm and a steady current is flowing through the circuit. If the battery is now disconnected, the time in which the current will decay to 1/e of its steady value is

a
500 seconds
b
50 seconds
c
5 seconds
d
0.5 seconds

detailed solution

Correct option is C

Time in which the current will decay to 1e of its steady value is t=τ=LR=5010=5 s

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