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Q. No.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 |
 88%
From NCERT
AIPMT - 2012
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A circular loop of radius \(\mathrm{R}\), enters a region of uniform magnetic field \(\mathrm{B}\) as shown in the diagram. The field \((\mathrm{B})\) is perpendicular to the plane of the loop while the velocity of the loop,\(\mathrm{v}\), is along its plane. The induced EMF:
| 1. | increases continuously. |
| 2. | decreases continuously. |
| 3. | first increases and then decreases. |
| 4. | remains constant throughout. |
Subtopic: Â Faraday's Law & Lenz Law |
 70%
From NCERT
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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. \(1~\text{A}\)
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 |
 55%
From NCERT
NEET - 2022
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The magnetic field, through a closed loop of conducting wire covering an area of \(100\) cm2, is \(5\times10^{-2}\) T and it is uniform and normal to the area. If the field is switched off in a time of \(10\) ms, the average emf induced is:
1. \(5\) V
2. \(0.5\) V
3. \(0.05\) V
4. \(5\times10^{-4}\) V
1. \(5\) V
2. \(0.5\) V
3. \(0.05\) V
4. \(5\times10^{-4}\) V
Subtopic: Â Faraday's Law & Lenz Law |
 78%
From NCERT
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The figure shows planar loops of different shapes moving out of or into a region of a magnetic field which is directed normally to the plane of the loop away from the reader. Then:
| 1. | for the rectangular loop abcd, the induced current is clockwise. |
| 2. | for the triangular loop abc, the induced current is clockwise. |
| 3. | for the irregularly shaped loop abcd, the induced current is anti-clockwise. |
| 4. | none of these. |
Subtopic: Â Faraday's Law & Lenz Law |
 66%
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A conducting circular loop is placed in a uniform magnetic field, \(B=0.025~\text{T}\) with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of \(1~\text{mm s}^{-1}\). The induced emf, when the radius is \(2~\text{cm}\), is:
1. \(2\pi ~\mu\text{V}\)
2. \(\pi ~\mu\text{V}\)
3. \(\frac{\pi}{2}~\mu\text{V}\)
4. \(2 ~\mu \text{V}\)
Subtopic: Â Faraday's Law & Lenz Law |
 76%
From NCERT
AIPMT - 2010
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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 |
 74%
From NCERT
AIPMT - 2013
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A rectangular loop of conducting wire is bent symmetrically so that its two plane halves are inclined at right angles with respect to each other (i.e. \(\angle \text { PQR }=\angle S T U=90^{\circ}\)). Every segment has a length 'a' (PQ = QR = RS = ... = UP = a). A uniform time-dependent magnetic field B(t) acts on the loop, making an angle '\(\alpha\)' with the lower half of the loop and '\(90^o - \alpha \)' with the upper half. The EMF induced in the loop is proportional to:
\(1.~ (\cos \alpha+\sin \alpha) \frac{d B}{d t}\\ 2.~ (\cos \alpha-\sin \alpha) \frac{d B}{d t}\\ 3.~ (\tan \alpha+\cot \alpha) \frac{d B}{d t}\\ 4.~ (\tan \alpha-\cot \alpha) \frac{dB}{d t}\)
\(1.~ (\cos \alpha+\sin \alpha) \frac{d B}{d t}\\ 2.~ (\cos \alpha-\sin \alpha) \frac{d B}{d t}\\ 3.~ (\tan \alpha+\cot \alpha) \frac{d B}{d t}\\ 4.~ (\tan \alpha-\cot \alpha) \frac{dB}{d t}\)
Subtopic: Â Faraday's Law & Lenz Law |
From NCERT
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