Growth of Current in an Inductor - NEET Physics Questions
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Growth of Current in an Inductor

Question 1: moderate

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 ?

1. The bulb B2 lights up earlier than B1 and finally both the bulbs shine equally bright
2. B1 lights up earlier and finally both the bulbs acquire equal brightness
3. B2 lights up earlier and finally B1 shines brighter than B2
4. B1 and B2 light up together with equal brightness all the time
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Question 2: easy

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

1. Both B1 and B2 die out promptly
2. Both B1 and B2 die out with some delay
3. B1 dies out promptly but B2 with some delay
4. B2 dies out promptly but B1 with some delay
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Question 3: difficult

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

1. \[\frac{1}{15} A,\frac{1}{10} A\]
2. \[\frac{1}{10} A,\frac{1}{15} A\]
3. \[\frac{2}{15} A,\frac{1}{10} A\]
4. \[\frac{1}{15} A,\frac{2}{25} A\]
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Question 4: moderate

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

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

1. 20 V
2. 15 V
3. 10 V
4. 5 V
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Question 5: moderate

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.

1. 45 V
2. 35 V
3. 25 V
4. 40 V
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Question 6: difficult

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 :

1. (i) i2 > i3 > i1 (i1 = 0) (ii) i2 > i3 > i1
2. (i) i2 < i3 > i1 (i1 ≠ 0) (ii) i2 > i3 > i1
3. (i) i2 = i3 = i1 (i1 = 0) (ii) i2 > i3 > i1
4. (i) i2 = i3 > i1 (i1 ≠ 0) (ii) i2 > i3 > i1
View Answer

(i) Just after the switch is closed (t = 0): An inductor opposes any sudden change in current. Initially, it acts like an infinite resistance (open circuit). No current can flow through any branch containing the inductor at this instant.

(ii) A long time later (t =infinity): Once the current reaches a steady state, the inductor no longer opposes the flow. It acts like an ideal wire (short circuit) with zero resistance. You can then rank the circuits by calculating the total equivalent resistance of the remaining resistors.

Question 7: moderate

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. (1 - e)
2. e
3. \[e^{-1}\]
4. \[\left( 1-e^{-1} \right)\]
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Question 8: easy

The expression for magnetic induction inside a solenoid of length \(L\) carrying a current \(I\) and having \(N\) number of turns is:

1. \(\frac{\mu_0 N}{4\pi L I}\)
2. \(\mu_0 N I\)
3. \(\frac{\mu_0}{4\pi} N L I\)
4. \(\mu_0 \frac{N}{L} I\)
View Answer

Magnetic field inside a long solenoid is given by \(B = \mu_0 n I\), where \(n = \frac{N}{L}\) is the number of turns per unit length. Therefore, \(B = \mu_0 \frac{N}{L} I\).