The magnetic flux linked with a coil varies with time as $$\phi = 2t^2-6t+5,$$ where $$\phi$$ is in Weber and $$t$$ is in seconds. The induced current is zero at:

 1 $$t=0$$ 2 $$t= 1.5~\text{s}$$ 3 $$t=3~\text{s}$$ 4 $$t=5~\text{s}$$
Subtopic:  Faraday's Law & Lenz Law |
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A coil having number of turns $$N$$ and cross-sectional area $$A$$ is rotated in a uniform magnetic field $$B$$ with an angular velocity $$\omega$$. The maximum value of the emf induced in it is:
1. $$\frac{NBA}{\omega}$$
2. $$NBAω$$
3. $$\frac{NBA}{\omega^{2}}$$
4. $$NBAω^{2}$$

Subtopic:  Faraday's Law & Lenz Law |
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In a circuit with a coil of resistance $$2~\Omega$$, the magnetic flux changes from $$2.0$$ Wb to $$10.0$$ Wb in $$0.2~\text{s}$$. The charge that flows in the coil during this time is:
1. $$5.0~\text{C}$$
2. $$4.0~\text{C}$$
3. $$1.0~\text{C}$$
4. $$0.8~\text{C}$$

Subtopic:  Faraday's Law & Lenz Law |
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The current in a coil varies with time $$t$$ as $$I= 3 t^{2} +2t$$. If the inductance of coil be $$10$$ mH, the value of induced emf at $$t=2~\text{s}$$ will be:
1. $$0.14~\text{V}$$
2. $$0.12~\text{V}$$
3. $$0.11~\text{V}$$
4. $$0.13~\text{V}$$

Subtopic:  Faraday's Law & Lenz Law |
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A coil having an area $$A_0$$ is placed in a magnetic field which changes from $$B_0~\text{to}~4B_0$$ in time interval $$t$$. The average EMF induced in the coil will be:
1. $$\frac{3 A_{0} B_{0}}{t}$$
2. $$\frac{4 A_{0} B_{0}}{t}$$
3. $$\frac{3 B_{0}}{A_{0} t}$$
4. $$\frac{4 B_{0}}{A_{0} t}$$
Subtopic:  Faraday's Law & Lenz Law |
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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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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is:

 1 Twice per revolution 2 Four times per revolution 3 Six times per revolution 4 Once per revolution
Subtopic:  Faraday's Law & Lenz Law |
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Given below are two statements:

 Assertion (A): The bar magnet falling vertically along the axis of the horizontal coil will be having acceleration less than $$g.$$ Reason (R): Clockwise current induced in the coil.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Faraday's Law & Lenz Law |
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In the given magnetic flux versus time graph, the magnitude of emf induced in the loop at $$t=3$$ s is:

1. $$5$$
2. $$4$$
3. $$3$$
4. zero
Subtopic:  Faraday's Law & Lenz Law |
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An aluminium ring $$B$$ faces an electromagnet $$A$$. If the current $$I$$ through $$A$$ can be altered, then:

 1 whether $$I$$ increases or decreases, $$B$$ will not experience any force. 2 if $$I$$ decreases, $$A$$ will repel $$B$$. 3 if $$I$$ increases, $$A$$ will attract $$B$$. 4 if $$I$$ increases, $$A$$ will repel $$B$$.
Subtopic:  Faraday's Law & Lenz Law |
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