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Q.

In the LR circuit shown in Figure, potential difference across the resistance at some instant is 4 V. Then,

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a

current is increasing at a rate of 8 As-1 at this instant

b

power supplied by the battery at this instant is 20 W

c

current in the circuit at this instant is 1 A

d

power stored in the magnetic field at this instant is 16 W

answer is A, B, C, D.

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Detailed Solution

I=ER1eRtL=51e2t

When potential difference across R is 4 V, the current is

          I=44=1A 1=51e2t e2t=0.8

At this instant, we have

dIdt=10e2t=100×0.8=8As1

Power supplied by battery is

P=EI=20×1=20W

Power consumed by resistor is

PR=I2R=12×4=4W

So, power stored in magnetic field is

Pm=20W4W=16W

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