Q. No.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.
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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
3. increases as r
4. decreases as
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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. |
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A conducting rod of length 2l is rotating with constant angular speed about its perpendicular bisector. A uniform magnetic field 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.
3.
4. Zero
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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
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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. | \({mgR \over B^2l}\) |
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A conducting rod AC of length 4l is rotated about point O in a uniform magnetic field directed into the paper. If AO = l and OC = 3l, then:
1.
2.
3.
4.
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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. | \(b > (a = c) > (d = e)\) |
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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. |  |
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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 . The maximum value of the emf induced in it is:
1.
2.
3.
4.
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