Electromagnetic Induction - NEET Physics Questions
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Electromagnetic Induction

Question 1: difficult

A rectangular coil ABCD is rotated anticlockwise with a uniform angular velocity about the axis
shown in diagram below. The axis of rotation of the coil as well as the magnetic field B are
horizontal. The induced e.m.f. in the coil would be maximum when

1. The plane of the coil is horizontal
2. The plane of the coil makes an angle of 45° with the magnetic field
3. The plane of the coil is at right angles to the magnetic field
4. The plane of the coil makes an angle of 30° with the magnetic field
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Question 2: difficult

A metal disc rotates freely, between the poles of a magnet in the direction indicated. Brushes P and Q make contact with the edge of the disc and the metal axle.What current, if any, flows through R?

1. a current from P to Q
2. a current from Q to P
3. no current, because the emf in the disc is opposed by the back emf
4. no current, because the emf induced in one side of the disc is opposed by the emf induced in the other side.
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Question 3: difficult

A rectangular loop has a sliding connector PQ of length l and resistance RΩ and it is moving with a speed v as shown. The set-up is placed in a uniform magnetic field going into the plane of the paper. The three currents I1, I2 and I are

1. \[I_{1}=I_{2}=I=\frac{Blv}{R}\]
2. \[I_{1}=I_{2}=\frac{Blv}{6R}=I=\frac{Blv}{3R}\]
3. \[I_{1}=-I_{2}=\frac{Blv}{R}=I=\frac{2Blv}{3R}\]
4. \[I_{1}=I_{2}=\frac{Blv}{3R}=I=\frac{2Blv}{3R}\]
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Question 4: difficult

Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A = 10 cm² and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is
\[\left( \mu=4\pi\times 10^{-7} T m A^{-1}\right)\] :

1. \[4.8\pi\times 10^{-4} H\]
2. \[4.8\pi\times 10^{-5} H\]
3. \[2.4\pi\times 10^{-4} H\]
4. \[2.4\pi\times 10^{-5} H\]
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Question 5: difficult

What is the mutual inductance of a two-loop system as shown with centre separation l ?

1. \[\frac{\mu_{0}\pi a^{4}}{8l^{3}}\]
2. \[\frac{\mu_{0}\pi a^{4}}{4l^{3}}\]
3. \[\frac{\mu_{0}\pi a^{4}}{6l^{3}}\]
4. \[\frac{\mu_{0}\pi a^{4}}{2l^{3}}\]
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Question 6: 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 7: difficult

A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field \[\overrightarrow{B}\] directed into the paper. AO = l and OC = 3l. Then

1. \[V_{A}-V_{0}=\frac{B\omega l^{2}}{2}\]
2. \[V_{0}-V_{C}=\frac{9}{2}B\omega l^{2}\]
3. \[V_{A}-V_{C}=8B\omega l^{2}\]
4. \[V_{C}-V_{0}=\frac{9}{2}B\omega l^{2}\]
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Question 8: 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.