Two conducting circular loops of radii \(R_1\) and \(R_2\) are placed in the same plane with their centres coinciding. If \(R_1>>R_2\), the mutual inductance \(M\) between them will be directly proportional to:

1. \(\dfrac{R_1}{R_2}\) 2. \(\dfrac{R_2}{R_1}\)
3. \(\dfrac{R^2_1}{R_2}\) 4. \(\dfrac{R^2_2}{R_1}\)

Subtopic:  Mutual Inductance |
 64%
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A circular loop of radius R carrying current I lies in the x-y plane with its centre at the origin. The total magnetic flux through the x-y plane is 

1. Directly proportional to I

2. Directly proportional to R

3. Directly proportional to R2

4. Zero

Subtopic:  Magnetic Flux |
 54%
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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 situation (A)

2. Maximum in situation (B)

3. Maximum in situation (C)

4. The same in all situations

Subtopic:  Mutual Inductance |
 74%
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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 wb/m2, as shown in fig. If all the four sides are of 1m 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 |
 71%
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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. mgRBl

2. mgRB2l2

3. mgRB3l3

4. mgRB2l

Subtopic:  Motional emf |
 79%
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The figure shows three circuits with identical batteries, inductors, and resistors. Rank the circuits according to the current, in descending order, through the battery \((i)\) just after the switch is closed and \((ii)\) a long time later:

        

1. \((i)~ i_2>i_3>i_1\left(i_1=0\right) (ii) ~i_2>i_3>i_1\)
2. \((i)~ i_2<i_3<i_1\left(i_1 \neq 0\right) (ii)~ i_2>i_3>i_1\)
3. \((i) ~i_2=i_3=i_1\left(i_1=0\right) (ii)~ i_2<i_3<i_1\)
4. \((i)~ i_2=i_3>i_1\left(i_1 \neq 0\right) (ii) ~i_2>i_3>i_1\)
Subtopic:  LR circuit |
 73%
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The variation of induced emf (E) with time (t) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as:

1. 2.  
3. 4.
Subtopic:  Faraday's Law & Lenz Law |
 67%
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Some magnetic flux is changed from a coil of resistance 10 ohm. As a result an induced current is developed in it, which varies with time as shown in figure. The magnitude of change in flux through the coil in webers is

1. 2

2. 4

3. 6

4. None of these

Subtopic:  Faraday's Law & Lenz Law |
 68%
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Figure (i) shows a conducting loop being pulled out of a magnetic field with a speed v. Which of the four plots shown in figure (ii) may represent the power delivered by the pulling agent as a function of the speed v

1. a

2. b

3. c

4. d

Subtopic:  Motional emf |
 57%
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A conducting wireframe is placed in a magnetic field that is directed into the paper. The magnetic field is increasing at a constant rate. The directions of induced current in wires AB and CD are

1.  B to A and D to C

2.  A to B and C to D

3.  A to B and D to C

4.  B to A and C to D 

Subtopic:  Motional emf |
 59%
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