A semicircular wire of radius R is rotated with constant angular velocity ω about an axis passing through one end and perpendicular to the plane of the wire.

                         

There is a uniform magnetic field of strength B. The induced emf between the ends is -

1. BωR2/2                           

2. 2BωR2

3. is variable                         

4. none of these

Concept Questions :-

Motional emf
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The inductance of a closed-packed coil of 400 turns is 8 mH. A current of 5 mA is passed through it. The magnetic flux through the coil is approximately

1.  0.1 μ0 Wb                     

2.  0.2 μ0 Wb

3.  1.0 μ0 Wb                     

4.  2.0 μ0 Wb

Concept Questions :-

Self-inductance
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Loop A of radius (r << R) moves towards loop B with a constant velocity v in such a way that their planes are always parallel.

                       

What is the distance (x) between the two loops when the induced emf in loop A is maximum –

1. R                                     

2. R2

3. R2                                     

4. R1-12

Concept Questions :-

Motional emf
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The current in an L – R circuit builds up to 3/4th of its steady state value in 4 seconds. The time constant of this circuit is

1. 1In 2sec                       

2. 2In 2sec

3. 3In 2sec                       

4. 4In 2sec

Concept Questions :-

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The magnetic flux through each turn of a 100 turn coil is t3  2t × 10-3 Wb, where t is in second. The induced emf at t = 2 s is

1. -4 V                       

2. -1 V

3. +1 V                       

4. +4 V

Concept Questions :-

Faraday 's law and lenz law
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An emf of 15 volt is applied in a circuit containing 5 henry inductance and 10 ohm resistance. The ratio of the currents at time t =  and at t = 1 second is -

1.  e1/2e1/2-1                               

2.  e2e2-1

3.  1-e-1                           

4.  e-1

Concept Questions :-

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A circular coil of radius 5 cm has 500 turns of a wire. The approximate value of the coefficient of self induction of the coil will be -

1.  25 mH                           

2.  25×10-3 mH

3.  50×10-3 mH               

4.  50×10-3 H

Concept Questions :-

Self-inductance
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A coil of radius 1 cm and  turns 100 is placed in the middle of a long solenoid of radius 5 cm and having 8 turns/cm. The mutual induction in millihenry will be-

1.  0.0316                   

2.  0.063 

3.  0.105                     

4.  Zero

Concept Questions :-

Mutual-inductance
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A conducting square loop of side L and resistance R moves in its plane with a uniform velocity v perpendicular to one of its sides.

                                    

A magnetic induction B, constant in time and space, pointing perpendicular and into the plane of the loop exists everywhere, see figure. The current induced in the loop is 

1.  BLv/R clockwise                     

2.  BLv/R anticlockwise 

3.  2 BLv/R anticlockwise             

4.  zero

Concept Questions :-

Motional emf
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A copper rod of length 0.19 m is moving parallel to a long wire with a uniform velocity of 10 m/s. The long wire carries 5 ampere current and is perpendicular to the rod. The ends of the rod are at distances 0.01 m and 0.2 m from the wire. The emf induced in the rod will be-

1.  10 μV                           

2.  20 μV

3.  30 μV                           

4.  40 μV

Concept Questions :-

Motional emf
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