A circular loop of radius R carrying current i lies in the x-y plane. If the centre of the loop coincides with the origin, then the total magnetic flux passing through the x-y plane will be:

1.  directly proportional to I.
2.  directly proportional to R.
3.  directly proportional to R2.
4.  Zero.

Subtopic:  Magnetic Flux |
 58%
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A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region:

1. is zero
2. decreases as 1r
3. increases as r
4. decreases as 1r2

Subtopic:  Faraday's Law & Lenz Law |
 58%
From NCERT
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Two circular coils can be arranged in any of the three situations shown in the figure. Their mutual inductance will be:

1. maximum in the situation (A).
2. maximum in the situation (B).
3. maximum in the situation (C).
4. the same in all situations.

Subtopic:  Mutual Inductance |
 74%
From NCERT
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A conducting rod of length 2l is rotating with constant angular speed ω about its perpendicular bisector. A uniform magnetic field B exists parallel to the axis of rotation. The e.m.f. induced between the two ends of the rod is:

   

1. \(B\omega l^2\)
2. 12Bωl2
3. 18Bωl2
4. Zero

Subtopic:  Motional emf |
 60%
From NCERT
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A conductor ABOCD moves along its bisector with a velocity of 1 m/s through a perpendicular magnetic field of \(1~\mathrm{wb/m^2}\), as shown in fig. If all the four sides are of 1 m length each, then the induced emf between points A and D is:
        
1. 0

2. 1.41 volt

3. 0.71 volt

4. None of the above

Subtopic:  Motional emf |
 73%
From NCERT
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A wire cd of length l and mass m is sliding without friction on conducting rails ax and by as shown. The vertical rails are connected to each other with a resistance R between a and b. A uniform magnetic field B is applied perpendicular to the plane abcd such that cd moves with a constant velocity of:

1. \({mgR \over Bl}\) 2. \({mgR \over B^2l^2}\)
3. \({mgR \over B^3l^3}\) 4. \({mgR \over B^2l}\)
Subtopic:  Motional emf |
 75%
From NCERT
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A conducting rod AC of length 4l is rotated about point O in a uniform magnetic field B directed into the paper. If AO = l and OC = 3l, then:

   

1. VAVO=Bωl22
2. VOVC=72Bωl2
3. VAVC=4Bωl2
4. VCVO=92Bωl2

Subtopic:  Motional emf |
 58%
From NCERT
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The graph gives the magnitude \(B(t)\) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first:

1. \(b > (d = e) < (a = c)\)
2. \(b > (d = e) > (a = c)\)
3. \(b < d < e < c < a\)
4. \(b > (a = c) > (d = e)\)

Subtopic:  Faraday's Law & Lenz Law |
 59%
From NCERT
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A square loop of side 5 cm enters a magnetic field with 1 cms-1. If the front edge enters the magnetic field at t = 0, then which graph best depicts emf?

1.  2.
3. 4.

Subtopic:  Motional emf |
 59%
From NCERT
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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%
From NCERT
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