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Question

An inductor L with small resistance, a resistor R and two identical bulbs, B1 and B2 are connected to a battery through a switch S as shown in the figure. Which of the following statements gives the correct description of the happenings when the switch S is closed?

A
The bulb B2 lights up earlier than B1 and finally both the bulbs shine equally bright.
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B
The bulb B1 lights up earlier than B2 and finally both the bulbs shine equally bright.
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C
The bulb B2 lights up earlier than B1 and finally B1 shines brighter than B2.
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D
Both the bulbs, B1 and B2 light up together with equal brightness all the time.
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Solution

The correct option is C The bulb B2 lights up earlier than B1 and finally B1 shines brighter than B2.

The current in the resistor will rise instantaneously and in the inductor, gradually from zero when switch S is closed.

So, the bulb B2 lights up earlier than B1.

After, the current attains a steady value in the inductor, the bulb B1 will shine brighter than B2 as the resistance of the inductor L is negligibly small.

Hence, option (C) is the correct answer.

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