A big circular coil with \(1000\) turns and an average radius of \(10~\text{m}\) is rotating about its horizontal diameter at a rate of \(2~\text{rad s}^{-1}.\) The vertical component of the Earth's magnetic field at that location is \(2\times 10^{-5}~\text{T},\) and the electrical resistance of the coil is \(12.56~\Omega,\) 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 current in an inductor of self-inductance \(4~\text{H}\) changes from \(4~ \text{A}\) to \(2~\text{A}\) in \(1~ \text s\). The emf induced in the coil is:
1. \(-2~\text{V}\)
2. \(2~\text{V}\)
3. \(-4~\text{V}\)
4. \(8~\text{V}\)

Subtopic:  Self - Inductance |
 83%
From NCERT
NEET - 2022
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The dimensions of mutual inductance \((M)\) are:
1. \(\left[M^2LT^{-2}A^{-2}\right]\)
2. \(\left[MLT^{-2}A^{2}\right]\)
3. \(\left[M^{2}L^{2}T^{-2}A^{2}\right]\)
4. \(\left[ML^{2}T^{-2}A^{-2}\right]\)

Subtopic:  Mutual Inductance |
 73%
From NCERT
NEET - 2022
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An inductor coil of self-inductance \(10~\text{H}\) carries a current of \(1~\text{A}\). The magnetic field energy stored in the coil is:
1. \(10~\text{J}\)
2. \(2.5~\text{J}\)
3. \(20~\text{J}\)
4. \(5~\text{J}\)
Subtopic:  Self - Inductance |
 84%
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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A square loop of side \(1~\text m\) and resistance \(1~\Omega\) is placed in a magnetic field of \(0.5~\text T.\) If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:
1. \(0\) 2. \(2\) weber
3. \(0.5\) weber 4. \(1\) weber
Subtopic:  Magnetic Flux |
 67%
From NCERT
NEET - 2022
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The magnetic energy stored in an inductor of inductance \(4~\mu\text{H}\) carrying a current of \(2~\text{A}\) is:
1. \(8~\mu \text{J}\)
2. \(4~\mu \text{J}\)
3. \(4~\text{mJ}\)
4. \(8~\text{mJ}\)
Subtopic:  Self - Inductance |
 74%
From NCERT
NEET - 2023
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An emf is generated by an ac generator having \(100\) turn coil, of loop area \(1\) m2. The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of \(0.05\) T perpendicular to the axis of rotation of the coil. The maximum value of emf is:
1. \(3.14\) V
2. \(31.4\) V
3. \(62.8\) V
4. \(6.28\) V
Subtopic:  Motional emf |
 72%
From NCERT
NEET - 2023
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Two conducting circular loops of radii \(R_1\)and\(R_2\) are placed in the same plane with their centres coinciding. If \(R_1>>R_2\) the mutual inductance \(M\) between them will be directly proportional to:

1. \(\dfrac{R^2_1}{R_2}\) 2. \(\dfrac{R^2_2}{R_1}\)
3. \(\dfrac{R_1}{R_2}\) 4. \(\dfrac{R_2}{R_1}\)
Subtopic:  Mutual Inductance |
 60%
From NCERT
NEET - 2021
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For a coil having \(L=2~\text{mH},\) the current flow through it is \(I=t^2e^{-t}.\) The time at which emf becomes zero is:
1. \(2\) s
2. \(1\) s
3. \(4\) s
4. \(3\) s

Subtopic:  Self - Inductance |
 60%
From NCERT
AIPMT - 2001
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