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

1. t = 0

2. t = 1.5 s

3. t = 3 s

4. t = 5 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 $\mathrm{\omega }$. The maximum value of the emf induced in it is:

1. $\frac{\mathrm{NBA}}{\mathrm{\omega }}$

2. $\mathrm{NBA\omega }$

3. $\frac{\mathrm{NBA}}{{\mathrm{\omega }}^{2}}$

4. ${\mathrm{NBA\omega }}^{2}$

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

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

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 ${B}_{0}$ $to$ $4{B}_{0}$ 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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AIPMT - 2013
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):

 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.

In the light of the above statements choose the correct answer from the options given below:

 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 |
74%
From NCERT
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