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Growth of Current in an Inductor

Question 1:
An inductor L, a resistance 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 ?

The bulb B2 lights up earlier than B1 and finally both the bulbs shine equally bright

B1 lights up earlier and finally both the bulbs acquire equal brightness

B2 lights up earlier and finally B1 shines brighter than B2

B1 and B2 light up together with equal brightness all the time

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No solution provided for this question.

Question 2:
The adjoining figure shows two bulbs B1 and B2 resistor R and an inductor L. When the switch S is turned off :-

Both B1 and B2 die out promptly

Both B1 and B2 die out with some delay

B1 dies out promptly but B2 with some delay

B2 dies out promptly but B1 with some delay

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No solution provided for this question.

Question 3:
Two resistors of 10 W and 20 W and an ideal inductor of 10 H are connected to a 2 V battery
as shown. The key K is inserted at time t = 0. The initial (t = 0) and final (t →∞) currents
through battery are

\[\frac{1}{15} A,\frac{1}{10} A\]

\[\frac{1}{10} A,\frac{1}{15} A\]

\[\frac{2}{15} A,\frac{1}{10} A\]

\[\frac{1}{15} A,\frac{2}{25} A\]

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No solution provided for this question.

Question 4:
The network shown in the figure is part of a complete circuit. If at a certain instant, the current
I is 5A and it is decreasing at a rate of

\[10^{3} As^{-1} then V_{B}-A_{A} equals\]

20 V

15 V

10 V

5 V

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No solution provided for this question.

Question 5:
For the circuit shown in figure R = 10Ω, L = 5H, E = 20 V, i = 2 A. This current is decreasing at
a rate of 1.0 A /s Find Vab at this instant.

45 V

35 V

25 V

40 V

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No solution provided for this question.

Question 6:
The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current through the battery (i) just after the switch is closed and (ii) a long time later, greatest first :-

(i) i2 > i3 > i1 (i1 = 0) (ii) i2 > i3 > i1

(i) i2 < i3 > i1 (i1 ≠ 0) (ii) i2 > i3 > i1

(i) i2 = i3 = i1 (i1 = 0) (ii) i2 > i3 > i1

(i) i2 = i3 > i1 (i1 ≠ 0) (ii) i2 > i3 > i1

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Question 7:
An ideal coil of 10H is connected in series with a resistance of 5Ω and a battery of 5V. 2 seconds
after the connection is made, the current flowing in amperes in the circuit is :

(1 - e)

\[e^{-1}\]

\[\left( 1-e^{-1} \right)\]

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No solution provided for this question.