A long solenoid with \(15\) turns per cm has a small loop of area \(2.0\) cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from \(2.0\) A to \(4.0\) A in \(0.1\) s, what is the induced emf in the loop while the current is changing?

1. \(7.5 \times 10^{-6}~ \text{V}\) 2. \(6.5 \times 10^{-6}~\text{V}\)
3. \(7.5 \times 10^{-5}~\text{V}\) 4. \(6.5 \times 10^{-5}~\text{V}\)
Subtopic:  Faraday's Law & Lenz Law |
 60%
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A \(1~\text{m}\) long metallic rod is rotating with an angular frequency of \(400~\text{rad/s}\) about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of \(0.5~\text{T}\) parallel to the axis exists everywhere. The emf induced between the centre and the ring is:
1. \(200~\text{V}\)
2. \(100~\text{V}\)
3. \(50~\text{V}\)
4. \(150~\text{V}\)

Subtopic:  Motional emf |
 75%
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A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad/s in a uniform horizontal magnetic field of magnitude  3×10-2 T. The maximum emf induced in the coil is:

1. 0.603 V
2. 0.01 V
3. 0
4. 1 V

Subtopic:  Motional emf |
 55%
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A horizontal straight wire \(10\) m long extending from east to west is falling with a speed of \(5.0\) ms-1 at right angle to the horizontal component of the earth's magnetic field, \(0.30 \times 10^{-4} ~\text{Wb m}^{-2}\). The instantaneous value of the emf induced in the wire is:
1.  \(2.5 \times 10^{-3} ~\text V\) 2. \(1.5 \times 10^{-4} ~\text V\)
3. \(2.5 \times 10^{-4}~\text V\) 4. \(1.5 \times 10^{-3} ~\text V\)
Subtopic:  Motional emf |
 81%
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Current in a circuit falls from \(5.0\) A to \(0\) A in \(0.1~\text{s}\). If an average emf of \(200\) V is induced, the self-inductance of the circuit is:
1. \(4\) H
2. \(2\) H
3. \(1\) H
4. \(3\) H

Subtopic:  Self - Inductance |
 90%
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A rectangular wire loop of sides \(8~\text {cm}\) and \(2~\text{cm}\) with a small cut is moving out of a region of the uniform magnetic field of magnitude \(0.3~\text T\) directed normally to the loop. What is the EMF developed across the cut if the velocity of the loop is \(1~\text{cm/s}\) in a direction normal to the longer side?
1. \(2.4 \times10^{-4}~\text V\)
2. \(2.0 \times10^{-3}~\text V\)
3. \(1.3 \times10^{-4}~\text V\)
4. \(1.7 \times10^{-3}~\text V\)

Subtopic:  Motional emf |
 77%
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A pair of adjacent coils has a mutual inductance of \(1.5\) H. If the current in one coil changes from \(0\) to \(20\) A in \(0.5\) s, what is the change of flux linkage with the other coil?

1. \(35\) Wb 2. \(25\) Wb
3. \(30\) Wb 4. \(20\) Wb
Subtopic:  Mutual Inductance |
 87%
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A jet plane is traveling towards the west at a speed of \(1800\) km/h. What is the voltage difference developed between the ends of the wing having a span of \(25\) m, if the Earth’s magnetic field at the location has a magnitude of \(5\times 10^{-4}~\text{T}\) and the dip angle is \(30^{\circ}\).
1. \(2.712~\text{V}\)
2. \(3.125~\text{V}\)
3. \(1.112~\text{V}\)
4. \(3.011~\text{V}\)

Subtopic:  Motional emf |
 77%
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If a loop changes from an irregular shape to a circular shape, then magnetic flux linked with it:
1. decreases
2. remains constant
3. first decreases and then increases
4. increases

Subtopic:  Magnetic Flux |
 53%
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It is desired to measure the magnitude of the field between the poles of a powerful loudspeaker magnet. A small flat search coil of area 2 cm2 with 25 closely wound turns, is positioned normal to the field direction, and then quickly snatched out of the field region. Equivalently, one can give it a quick 90° turn to bring its plane parallel to the field direction). The total charge flown in the coil (measured by a ballistic galvanometer connected to the coil) is 7.5 mC. The combined resistance of the coil and the galvanometer is 0.50 Ω. The field strength of the magnet is:

1. 0.55 T
2. 0.75 T
3. 0.67 T
4. 0.49 T

Subtopic:  Faraday's Law & Lenz Law |
 73%
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