# A square of side $$L$$ meters lies in the $$XY\text-$$plane in a region where the magnetic field is given by $$\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )\text{T}$$ where $$B_{0}$$ is constant. The magnitude of flux passing through the square will be: 1. $$2 B_{0} L^{2}~\text{Wb}$$ 2. $$3 B_{0} L^{2}~\text{Wb}$$ 3. $$4 B_{0} L^{2}~\text{Wb}$$ 4. $$\sqrt{29} B_{0} L^{2}~\text{Wb}$$

Subtopic:  Magnetic Flux |
72%
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The adjoining figure shows two different arrangements in which two square wireframes are placed in a uniform magnetic field $$B$$ decreasing with time.

The direction of the induced current $$I$$ in the figure is:
 1 From $$a$$ to $$b$$ and from $$c$$ to $$d$$ 2 From $$a$$ to $$b$$ and from $$f$$ to $$e$$ 3 From $$b$$ to $$a$$ and from $$d$$ to $$c$$ 4 From $$b$$ to $$a$$ and from $$e$$ to $$f$$
Subtopic:  Faraday's Law & Lenz Law |
66%
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Two identical conductors $$P$$ and $$Q$$ are placed on two frictionless (conducting) rails $$R$$ and $$S$$ in a uniform magnetic field directed into the plane. If $$P$$ is moved in the direction as shown in the figure with a constant speed, then rod $$Q$$:

 1 will be attracted toward $$P$$. 2 will be repelled away from $$P$$. 3 will remain stationary. 4 maybe repelled or attracted towards $$P$$.
Subtopic:  Motional emf |
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Two coaxial coils are very close to each other and their mutual inductance is $$5$$ mH. If a current $$50\sin(500 t)$$ is passed in one of the coils, then the peak value of induced emf in the secondary coil will be:
 1 $$5000$$ V 2 $$500$$ V 3 $$150$$ V 4 $$125$$ V
Subtopic:  Mutual Inductance |
75%
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With the decrease of current in the primary coil from $$2$$ A to zero in $$0.01$$ s, the emf generated in the secondary coil is $$1000~\text{V}$$. The mutual inductance of the two coils is:
1. $$1.25$$ H
2. $$2.50$$ H
3. $$5.00$$ H
4. $$10.00$$ H

Subtopic:  Mutual Inductance |
88%
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A long solenoid has self-inductance $$L$$. If its length is doubled keeping total number of turns constant, then its new self-inductance will be:
1. $$\frac{L}{2}$$
2. $$2L$$
3. $$L$$
4. $$\frac{L}{4}$$

Subtopic:  Self - Inductance |
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An inductor is connected to a direct voltage source through a switch. Then:

 1 a very large emf is induced in inductor when the switch is closed. 2 a large emf is induced when the switch is opened. 3 a large emf is induced whether the switch is closed or opened. 4 no emf is induced whether the switch is closed or opened.
Subtopic:  LR circuit |
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The magnetic energy stored in a long solenoid of an area of cross-section $$A$$ in a small region of length $$L$$ is:
 1 $$\dfrac{B^{2} AL}{2\mu_{0}^{2}}$$ 2 $$\dfrac{AL}{2 \mu_{0}}$$ 3 $$\dfrac{1}{2} \mu_{0} B^{2} AL$$ 4 $$\dfrac{B^{2} AL}{2 \mu_{0}}$$
Subtopic:  Self - Inductance |
64%
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Eddy currents are induced when:
 1 A metal block is kept in a changing magnetic field. 2 A metal block is kept in a uniform magnetic field. 3 A coil is kept in a uniform magnetic field. 4 Current is passed in a coil.
Subtopic:  Eddy Current |
80%
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When a conducting wire $$XY$$ is moved towards the right, a current flows in the anti-clockwise direction. Direction of magnetic field at point $$O$$ is:

 1 parallel to the motion of wire. 2 along with $$XY$$. 3 perpendicular outside the paper. 4 perpendicular inside the paper.
Subtopic:  Motional emf |
72%
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