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Question

Question: A coil has an inductance of 2.5 H and a resistance of 0.5 r. If the coil is suddenly connected acros...

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

A

3.5 sec

B

4.0 sec

C

4.5 sec

D

5.0 sec

Answer

5.0 sec

Explanation

Solution

t=τ=LR=2.50.5=5sect = \tau = \frac { L } { R } = \frac { 2.5 } { 0.5 } = 5 \mathrm { sec }