The magnetic flux linked with a coil varies with time as \(\phi = 2t^2-6t+5,\) where \(\phi \) is in Weber and \(t\) is in seconds. The induced current is zero at:
1. \(t=0\)
2. \(t= 1.5~\text{s}\)
3. \(t=3~\text{s}\)
4. \(t=5~\text{s}\)

Subtopic:  Faraday's Law & Lenz Law |
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A coil having number of turns N and cross-sectional area A is rotated in a uniform magnetic field B with an angular velocity ω. The maximum value of the emf induced in it is:

1. NBAω                             

2. NBAω

3. NBAω2                             

4. NBAω2

Subtopic:  Faraday's Law & Lenz Law |
 88%
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In a circuit with a coil of resistance 2 ohms, the magnetic flux changes from 2.0 Wb to 10.0 Wb in 0.2 second. The charge that flows in the coil during this time is:
1. 5.0 coulomb
2. 4.0 coulomb
3. 1.0 coulomb
4. 0.8 coulomb

Subtopic:  Faraday's Law & Lenz Law |
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The current in a coil varies with time t as I = 3t2+ 2t. If the inductance of coil be 10 mH, the value of induced e.m.f. at \(t=2~\mathrm{s}\) will be:
1. \(0.14~\mathrm{V}\)
2. \(0.12~\mathrm{V}\)
3. \(0.11~\mathrm{V}\)
4. \(0.13~\mathrm{V}\)

Subtopic:  Faraday's Law & Lenz Law |
 87%
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A coil having an area A0 is placed in a magnetic field which changes from B0 to 4B0 in time interval t. The average EMF induced in the coil will be:

1. 3A0B0t

2. 4A0B0t

3. 3B0A0t

4. 4B0A0t

Subtopic:  Faraday's Law & Lenz Law |
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A bar magnet is released along the vertical axis of the conducting coil. The acceleration of the bar magnet is:

1. greater than g. 2. less than g.
3. equal to g. 4. zero.
Subtopic:  Faraday's Law & Lenz Law |
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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is:

1. Twice per revolution 2. Four times per revolution
3. Six times per revolution 4. Once per revolution
Subtopic:  Faraday's Law & Lenz Law |
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AIPMT - 2013
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):


 
Assertion (A): The bar magnet falling vertically along the axis of the horizontal coil will be having acceleration less than \(g.\)
Reason (R): Clockwise current induced in the coil.
  
In the light of the above statements choose the correct answer from the options given below:
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Faraday's Law & Lenz Law |
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In the given magnetic flux versus time graph, the magnitude of emf induced in the loop at \(t=3\) s is:

   
 
1. \(5\)
2. \(4\)
3. \(3\)
4. zero
Subtopic:  Faraday's Law & Lenz Law |
 74%
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An aluminium ring B faces an electromagnet A. If the current I through A can be altered, then:

1. whether I increases or decreases, B will not experience any force.
2. if I decreases, A will repel B.
3. if I increases, A will attract B.
4. if I increases, A will repel B.
Subtopic:  Faraday's Law & Lenz Law |
 69%
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