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Q. No.The magnetic flux through a coil perpendicular to its plane is varying according to the relation \(\phi = (5t^3 + 4t^{2} +2t-5)~\text{Wb}.\) If the resistance of the coil is \(5~\Omega,\) then the induced current through the coil at \(t=2~\text s\) will be:
1. \(15.6~\text A\)
2. \(16.6~\text A\)
3. \(17.6~\text A\)
4. \(18.6~\text A\)
1. \(15.6~\text A\)
2. \(16.6~\text A\)
3. \(17.6~\text A\)
4. \(18.6~\text A\)
Subtopic: Faraday's Law & Lenz Law |
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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. | \(\mathrm{emf_{a}<emf_{b}<emf_{c}}\) |
| 2. | \(\mathrm{emf_{a}=emf_{b}<emf_{c}}\) |
| 3. | \(\mathrm{emf_{a}={emf}_{c}<{emf}_{b}}\) |
| 4. | \(\mathrm{emf_{a}<emf_{b}={emf}_{c}}\) |
Subtopic: Motional emf |
Level 3: 35%-60%
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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 |
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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 |
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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 |
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The magnetic flux linked to a circular coil of radius \(R\) is given by:
\(\phi=2t^3+4t^2+2t+5\) Wb.
What is the magnitude of the induced EMF in the coil at \(t=5\) s?
1. \(108\) V
2. \(197\) V
3. \(150\) V
4. \(192\) V
Subtopic: Faraday's Law & Lenz Law |
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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 in the figure. 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 |
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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 |
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A circular loop of radius \(R,\) enters a region of uniform magnetic field \(B\) as shown in the diagram. The field \((B)\) is perpendicular to the plane of the loop while the velocity of the loop, \(v\) 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 |
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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 |
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Level 1: 80%+
AIPMT - 2008
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