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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law | Mutual Inductance |
 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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law |
 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:  Faraday's Law & Lenz Law |
 69%
From NCERT
AIPMT - 2011
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