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Q. No.The magnetic flux through a coil perpendicular to its plane is varying according to the relation \(\phi = (5t^3 + 4t^{2} +2t-5)\) Wb. If the resistance of the coil is \(5~\Omega,\) then the induced current through the coil at \(t=2\) s will be:
1. \(15.6\) A
2. \(16.6\) A
3. \(17.6\) A
4. \(18.6\) A
1. \(15.6\) A
2. \(16.6\) A
3. \(17.6\) A
4. \(18.6\) A
Subtopic: Faraday's Law & Lenz Law |
86%
From NCERT
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Rings are rotated and translated in a uniform magnetic field as shown in the figure. Arrange the magnitude of emf induced across AB:
| 1. | \(\mathrm{emf}_\text{a}<\mathrm{emf}_\text{b}<\mathrm{emf}_\text{c}\) |
| 2. | \(\mathrm{emf}_\text{a}=\mathrm{emf}_\text{b}<\mathrm{emf}_\text{c}\) |
| 3. | \(\mathrm{emf}_\text{a}=\mathrm{emf}_\text{c}<\mathrm{emf}_\text{b}\) |
| 4. | \(\mathrm{emf}_\text{a}<\mathrm{emf}_\text{b}=\mathrm{emf}_\text{c}\) |
Subtopic: Motional emf |
From NCERT
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If the radius of the coil changing at the rate of \(10^{-2}\) m/s in a normal magnetic field \(10^{-4}\) T, the induced emf at particular instant is \(1~\mu \text{V}\). What is the approximate radius of the coil at that instant?
1. \(10~\text{cm}\)
2. \(12~\text{cm}\)
3. \(16~\text{cm}\)
4. \(20~\text{cm}\)
1. \(10~\text{cm}\)
2. \(12~\text{cm}\)
3. \(16~\text{cm}\)
4. \(20~\text{cm}\)
Subtopic: Faraday's Law & Lenz Law |
77%
From NCERT
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The figure shows a bar magnet and a metallic coil. Consider four situations.
| (I) | moving the magnet away from the coil. |
| (II) | moving the coil towards the magnet. |
| (III) | rotating the coil about the vertical diameter. |
| (IV) | rotating the coil about its axis. |
An emf in the coil will be generated for the following situations.
| 1. | (I) and (II) only |
| 2. | (I), (II), and (IV) only |
| 3. | (I), (II), and (III) only |
| 4. | (I), (II), (III), and (IV) |
Subtopic: Faraday's Law & Lenz Law |
55%
From NCERT
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In the given magnetic flux versus time graph, the magnitude of emf induced in the loop at \(t=3~\text s\) is:
| 1. | \(5\) V | 2. | \(4\) V |
| 3. | \(3\) V | 4. | zero |
Subtopic: Faraday's Law & Lenz Law |
75%
From NCERT
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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
\(\phi=2t^3+4t^2+2t+5\) 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 straight horizontal wire \(\mathrm{AB}\) of length \(l\) falls from rest under gravity. A uniform horizontal magnetic field \(B\) acts perpendicular to the plane of motion of \(\mathrm{AB}\), as shown. The induced emf across \(\mathrm{AB}\), \(E\), is proportional to:
| 1. | \(B\) | 2. | \(l\) |
| 3. | time, \(t\) | 4. | all of the above |
Subtopic: Motional emf |
83%
From NCERT
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A \(10~\Omega\) resistance coil has \(100\) turns. It is placed in a magnetic field that changes from \({5}\times{10}^{{-}{4}}~\text{T}\) to zero in \(0.1~\text{s}\). If the area of the cross-section is one square metre, then the induced emf is:
1. \(5~\text{V}\)
2. \(0.5~\text{V}\)
3. \(0.05~\text{V}\)
4. \(0.005~\text{V}\)
1. \(5~\text{V}\)
2. \(0.5~\text{V}\)
3. \(0.05~\text{V}\)
4. \(0.005~\text{V}\)
Subtopic: Magnetic Flux |
67%
From NCERT
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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: Faraday's Law & Lenz Law |
69%
From NCERT
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A circular disc of radius \(0.2~\text{m}\) is placed in a uniform magnetic field of induction \(\frac{1}{\pi}~\text{Wb/m}^{2}\) in such a way that its axis makes an angle of \(60^{\circ}\) with \(\vec{B}.\) The magnetic flux linked with the disc is:
1. \(0.02~\text{Wb}\)
2. \(0.06~\text{Wb}\)
3. \(0.08~\text{Wb}\)
4. \(0.01~\text{Wb}\)
1. \(0.02~\text{Wb}\)
2. \(0.06~\text{Wb}\)
3. \(0.08~\text{Wb}\)
4. \(0.01~\text{Wb}\)
Subtopic: Magnetic Flux |
85%
From NCERT
AIPMT - 2008
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