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A coil has an inductance of 2.5 H and a resistance of 0.5 Ω If the coil is suddenly connected across a 6.0 V battery then the time required for the current to rise 0.63 of its final value is

a
3.5 s
b
4.0 s
c
4.5 s
d
5.0 s

detailed solution

Correct option is D

i=ER(1-e-Rt/L)=Im(1-e-Rt/L) When i=0.63Im we get t=LR=2.50.5=5s

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