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Question

An e.m.f. of 15 V is applied in a circuit containing a 5 H inductance and a 10 Ω resistance. The ratio of the currents at time t= and, at t=1 second is

A
ee1
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B
e2e21
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C
11e
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D
1e
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Solution

The correct option is B e2e21

Current in the growing circuit is given by

I=I0 ⎢ ⎢1eRtL⎥ ⎥

When, t=, I=I0

It==ER=1510=1.5 A


At t=1 sec

It=1=I0⎢ ⎢1eRL⎥ ⎥

=1.5×⎢ ⎢1 e105⎥ ⎥

It=1=1.5(11e2)=1.5(e21e2)

Now, It=It=1=e2e21

Hence, (B) is the correct option.


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