A thin semicircular conducting ring of radius \(R\) is falling with its plane vertical in a horizontal magnetic induction \(B\). At the position \(MNQ\), the speed of the ring is \(v\) and the potential difference developed across the ring is:

          

1.  Zero
2. \(B v \pi R^2 / 2\) and \(M\) is at the higher potential 
3. \(2 R B v\) and \(M\) is at the higher potential
4. \(2RBv\) and \(Q\)  is at the higher potential

Subtopic:  Motional emf |
 66%
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Consider the situation shown in the figure. The wire AB is sliding on the fixed rails with a constant velocity. If the wire AB is replaced by semicircular wire, the magnitude of the induced current will 

(1) Increase

(2) Remain the same

(3) Decrease

(4) Increase or decrease depending on whether the semicircle bulges towards the resistance or away from it

Subtopic:  Motional emf |
 68%
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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 |
 53%
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A small square loop of wire of side l is placed inside a large square loop of wire of side L (L > l). The loop are coplanar and their centre coincide. The mutual inductance of the system is proportional to 

(1) l / L

(2) l2 / L

(3) L/l

(4) L2/l

Subtopic:  Mutual Inductance |
 79%
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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 |
 59%
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A coil of wire having finite inductance and resistance has a conducting ring placed coaxially within it. The coil is connected to a battery at time t = 0 so that a time-dependent current I1(t) starts flowing through the coil. If I2(t) is the current induced in the ring and B(t) is the magnetic field at the axis of the coil due to I1(t), then as a function of time (t > 0), the product I2 (t) B(t

(1) Increases with time

(2) Decreases with time

(3) Does not vary with time

(4) Passes through a maximum

Subtopic:  LR circuit |
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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 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 two ends of the rod is 

(1) BΩl2

(2) 12Bωl2

(3) 18Bωl2

(4) Zero

Subtopic:  Motional emf |
 57%
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As shown in the figure, P and Q are two coaxial conducting loops separated by some distance. When the switch S is closed, a clockwise current IP flows in P (as seen by E) and an induced current IQ1 flows in Q. The switch remains closed for a long time. When S is opened, a current IQ2 flows in Q. Then the directions of IQ1 and IQ2 (as seen by E) are 

(1) Respectively clockwise and anticlockwise

(2) Both clockwise

(3) Both anticlockwise

(4) Respectively anticlockwise and clockwise

Subtopic:  Faraday's Law & Lenz Law |
 64%
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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:  Faraday's Law & Lenz Law |
 62%
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