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Q.

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

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a

3.5 s

b

4.0 s

c

4.5 s

d

5.0 s

answer is D.

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Detailed Solution

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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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