A bar magnet is released along the vertical axis of the conducting coil. The acceleration of the bar magnet is:

         

1. greater than \(g\). 2. less than \(g\).
3. equal to \(g\). 4. zero.

Subtopic:  Faraday's Law & Lenz Law |
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Work done in increasing the current through a solenoid from \(0\) to \(2\) A is \(20\) J. Work done in increasing the current from \(4\) A to \(6\) A is:
1. \(100\) J 2. \(60\) J
3. \(80\) J 4. \(120\) J
Subtopic:  Self - Inductance |
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Level 2: 60%+
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In a uniform magnetic field, a ring is rotating about its axis which is parallel to the magnetic field and the magnetic field is perpendicular to the plane of the ring. The induced electric field in the ring:

1. Is zero.
2. Depends on the radius of the ring.
3. Depends on the nature of the material of the ring.
4. Depends on the product of the magnetic field and speed.

Subtopic:  Motional emf |
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Calculate the self-inductance of a solenoid having \(1000\) turns and length \(1\) m. (The area of cross-section is \(7\) cm2 and \(\mu_r=1000).\)

1. \(888\) H

2. \(0.88\) H

3. \(0.088\) H

4. \(88.8\) H

Subtopic:  Self - Inductance |
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A rod having length \(l\) and resistance \(R_0\) is moving with a speed \(v\) as shown in the figure. The current through the rod is:
                            

1. \(\dfrac{B l v}{\frac{R_{1} R_{2}}{R_{1} + R_{2}} + R_{0}}\)

2. \(\dfrac{Blv}{\left(\frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{o}}\right)^{2}}\)

3. \(\dfrac{B l v}{R_{1} + R_{2} + R_{0}}\)

4. \(\dfrac{B l v}{\frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{0}}}\)

Subtopic:  Motional emf |
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The slotting processes in a metallic sheet results in:

1. The increase of the resistance in the path for circulation of current.
2. Decrease in the strength of eddy current.
3. A feeble in the electromagnetic damping.
4. All of these
Subtopic:  Eddy Current |
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A solenoid of inductance \(L\) and resistance \(R\) is connected to a battery of emf \(E.\) The maximum value of magnetic energy stored in the inductor is:
1. \(\dfrac{E^{2}}{2 R}\)
2. \(\dfrac{E^{2} L}{2 R^{2}}\)
3. \(\dfrac{E^{2} L}{R}\)
4. \(\dfrac{E^{2} L}{2 R}\)
Subtopic:  LR circuit |
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The coefficient of mutual inductance between two coils depends upon:

1. medium between coils
2. separation between coils
3. orientation of coils
4. All of these

Subtopic:  Mutual Inductance |
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A small square loop of wire of side \(l\) is placed inside a large square loop of side \(L\) \((L>>l)\). If the loops are coplanar and their centres coincide, the mutual inductance of the system is directly proportional to:
1. \(\dfrac{L}{l}\) 2. \(\dfrac{l}{L}\)
3. \(\dfrac{L^2}{l}\) 4. \(\dfrac{l^2}{L}\)
Subtopic:  Mutual Inductance |
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Two coils have a mutual inductance of \(5\) mH. The current changes in the first coil according to the equation \(I=I_{0}\cos\omega t,\) where \(I_{0}=10~\text{A}\) and \(\omega = 100\pi ~\text{rad/s}\). The maximum value of emf induced in the second coil is:
1. \(5\pi~\text{V}\)
2. \(2\pi~\text{V}\)
3. \(4\pi~\text{V}\)
4. \(\pi~\text{V}\)

Subtopic:  Mutual Inductance |
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Level 1: 80%+
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