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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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%
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 two ends of the rod is 

(1) BΩl2

(2) 12Bωl2

(3) 18Bωl2

(4) Zero

Subtopic:  Motional emf |
 57%
From NCERT
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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%
From NCERT
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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%
From NCERT
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A square metallic wire loop of side \(0.1\) m and resistance of \(1~\Omega\) is moved with a constant velocity in a magnetic field of \(2~\text{wb/m}^2\) as shown in the figure. The magnetic field is perpendicular to the plane of the loop and the loop is connected to a network of resistances. What should be the velocity of the loop so as to have a steady current of \(1\) mA in the loop?

          

1. \(1\) cm/sec 2. \(2\) cm/sec
3. \(3\) cm/sec 4. \(4\) cm/sec
Subtopic:  Motional emf |
 75%
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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%
From NCERT
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