A big circular coil of $$1000$$ turns and average radius $$10~\text{m}$$  is rotating about its horizontal diameter at $$2~\text{rad s}^{-1}$$. If the vertical component of earth's magnetic field at that place is $$2\times 10^{-5}~\text{T}$$ and electrical resistance of the coil is $$12.56~\Omega,$$ then the maximum induced current in the coil will be:
1. $$2~\text{A}$$
2. $$0.25~\text{A}$$
3. $$1.5~\text{A}$$
4. $$1~\text{A}$$
Subtopic: Â Faraday's Law & Lenz Law |
Â 55%
From NCERT
NEET - 2022
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The magnetic flux linked to a circular coil of radius $$R$$ is;
$$\phi=2t^3+4t^2+2t+5$$ Wb.
The magnitude of induced emf in the coil at $$t=5$$ s is:
1. $$108$$ V
2. $$197$$ V
3. $$150$$ V
4. $$192$$ V
Subtopic: Â Faraday's Law & Lenz Law |
Â 85%
From NCERT
NEET - 2022
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The magnetic flux linked with a coil (in Wb) is given by the equation $$\phi=5 t^2+3 t+60$$. The magnitude of induced emf in the coil at $$t=4$$ s  will be:
1. $$33$$ V
2. $$43$$ V
3. $$108$$ V
4. $$10$$ V

Subtopic: Â Faraday's Law & Lenz Law |
Â 87%
From NCERT
NEET - 2020
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A $$800$$ turn coil of effective area $$0.05~\text{m}^2$$ is kept perpendicular to a magnetic field $$5\times 10^{-5}~\text{T}$$. When the plane of the coil is rotated by $$90^{\circ}$$around any of its coplanar axis in $$0.1~\text{s}$$, the emf induced in the coil will be:
1. $$0.02~\text{V}$$
2. $$2~\text{V}$$
3. $$0.2~\text{V}$$
4. $$2\times 10^{-3}~\text{V}$$

Subtopic: Â Faraday's Law & Lenz Law |
Â 65%
From NCERT
NEET - 2019
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A long solenoid of diameter $$0.1$$ m has $$2 \times 10^4$$ turns per meter. At the center of the solenoid, a coil of $$100$$ turns and radius $$0.01$$ m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to $$0$$ A from $$4$$ A in $$0.05$$ s. If the resistance of the coil is $$10\pi^2~\Omega$$, then the total charge flowing through the coil during this time is:
1. $$16~\mu \text{C}$$
2. $$32~\mu \text{C}$$
3. $$16\pi~\mu \text{C}$$
4. $$32\pi~\mu \text{C}$$

Subtopic: Â Faraday's Law & Lenz Law |Â Mutual Inductance |
Â 58%
From NCERT
NEET - 2017
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A uniform magnetic field is restricted within a region of radius $$r$$. The magnetic field changes with time at a  rate $$\frac{dB}{dt}$$. Loop $$1$$ of radius $$R>r$$ is enclosed within the region $$r$$ and loop $$2$$ of radius $$R$$ is outside the region of the magnetic field as shown in the figure. Then, the emf generated is:

 1 zero in loop $$1$$ and zero in loop $$2$$ 2 $$-\frac{dB}{dt}\pi r^2$$ in loop $$1$$ and zero in loop $$2$$ 3 $$-\frac{dB}{dt}\pi R^2$$ in loop $$1$$ and zero in loop $$2$$ 4 zero in loop $$1$$ and not defined in loop $$2$$
Subtopic: Â Faraday's Law & Lenz Law |
Â 69%
From NCERT
NEET - 2016
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An electron moves on a straight-line path $$XY$$ as shown. The $$\mathrm{abcd}$$ is a coil adjacent to the path of electrons. What will be the direction of current if any, induced in the coil?

 1 $$\mathrm{abcd}$$ 2 $$\mathrm{adcb}$$ 3 The current will reverse its direction as the electron goes past the coil 4 No current included

Subtopic: Â Faraday's Law & Lenz Law |
Â 74%
From NCERT
NEET - 2015
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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced emf is:
 1 twice per revolution. 2 four times per revolution. 3 six times per revolution. 4 once per revolution.

Subtopic: Â Faraday's Law & Lenz Law |
Â 74%
From NCERT
AIPMT - 2013
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A coil of resistance $$400~\Omega$$ is placed in a magnetic field. The magnetic flux $$\phi~\text{(Wb)}$$ linked with the coil varies with time $$t~\text{(s)}$$ as $$\phi=50t^{2}+4.$$ The current in the coil at $$t=2~\text{s}$$ is:
1. $$0.5~\text{A}$$
2. $$0.1~\text{A}$$
3. $$2~\text{A}$$
4. $$1~\text{A}$$

Subtopic: Â Faraday's Law & Lenz Law |
Â 88%
From NCERT
AIPMT - 2012
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The current $$i$$ in a coil varies with time as shown in the figure. The variation of induced emf with time would be:

 1 2 3 4
Subtopic: Â Faraday's Law & Lenz Law |
Â 69%
From NCERT
AIPMT - 2011
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