# A square of side L meters lies in the XY-plane in a region where the magnetic field is given by $$\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )~T$$ where $$B_{0}$$ is constant. The magnitude of flux passing through the square will be: 1.  2.  3.  4.

Subtopic:  Magnetic Flux |
72%
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The adjoining figure shows two different arrangements in which two square wireframes are placed in a uniform magnetic field B decreasing with time.

The direction of the induced current I in the figure is:

 1 From a to b and from c to d 2 From a to b and from f to e 3 From b to a and from d to c 4 From b to a and from e to f

Subtopic:  Faraday's Law & Lenz Law |
66%
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Two identical conductors P and Q are placed on two frictionless (conducting) rails R and S in a uniform magnetic field directed into the plane. If P is moved in the direction as shown in the figure with a constant speed, then rod Q:

 1 will be attracted toward P 2 will be repelled away from P 3 will remain stationary 4 maybe repelled or attracted towards P

Subtopic:  Motional emf |
From NCERT
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Two coaxial coils are very close to each other and their mutual inductance is 5 mH. If a current 50 sin 500t is passed in one of the coils, then the peak value of induced e.m.f. in the secondary coil will be:

 1 5000 V 2 500 V 3 150 V 4 125 V
Subtopic:  Mutual Inductance |
75%
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With the decrease of current in the primary coil from 2 A to zero in 0.01 s, the e.m.f. generated in the secondary coil is $$1000~\mathrm{V}$$. The mutual inductance of the two coils is:

1. 1.25 H

2. 2.50 H

3. 5.00 H

4. 10.00 H

Subtopic:  Mutual Inductance |
88%
From NCERT
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A long solenoid has self-inductance L. If its length is doubled keeping total number of turns constant, then its new self-inductance will be:

1. $\frac{\mathrm{L}}{2}$

2. 2L

3. L

4. $\frac{\mathrm{L}}{4}$

Subtopic:  Self - Inductance |
62%
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An inductor is connected to a direct voltage source through a switch. Then:

 1 a very large emf is induced in inductor when the switch is closed. 2 a large emf is induced when the switch is opened. 3 a large emf is induced whether the switch is closed or opened. 4 no emf is induced whether the switch is closed or opened.
Subtopic:  LR circuit |
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The magnetic energy stored in a long solenoid of an area of cross-section A in a small region of length L is:

1. $\frac{{\mathrm{B}}^{2}\mathrm{AL}}{2{{\mathrm{\mu }}_{0}}^{2}}$

2. $\frac{\mathrm{AL}}{2{\mathrm{\mu }}_{0}}$

3. $\frac{1}{2}{\mathrm{\mu }}_{0}{\mathrm{B}}^{2}\mathrm{AL}$

4. $\frac{{\mathrm{B}}^{2}\mathrm{AL}}{2{\mathrm{\mu }}_{0}}$

Subtopic:  Self - Inductance |
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Eddy currents are induced when:

1. A metal block is kept in a changing magnetic field.

2. A metal block is kept in a uniform magnetic field.

3. A coil is kept in a uniform magnetic field.

4. Current is passed in a coil.

Subtopic:  Eddy Current |
80%
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When a conducting wire XY is moved towards the right, a current flows in the anti-clockwise direction. Direction of magnetic field at point O is:

 1 parallel to the motion of wire. 2 along with XY. 3 perpendicular outside the paper. 4 perpendicular inside the paper.
Subtopic:  Motional emf |
72%
From NCERT
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