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. 2B0L2 Wb
2. 3B0L2 Wb
3. 4B0L2 Wb
4. 29B0L2 Wb

Subtopic:  Magnetic Flux |
 72%
From NCERT
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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.
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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%
From NCERT
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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%
From NCERT
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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. L2

2. 2L

3. L

4. L4

Subtopic:  Self - Inductance |
 62%
From NCERT
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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 |
From NCERT
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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. B2AL2μ02

2. AL2μ0

3. 12μ0B2AL

4. B2AL2μ0

Subtopic:  Self - Inductance |
 65%
From NCERT
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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%
From NCERT
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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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