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Q. No.A square loop with a side length of \(10~\text{cm}\) is placed vertically in the east-west plane. A uniform magnetic field of \(0.1~\text{T}\) is applied across the plane of the loop in the northeast direction. The magnetic flux linked with the loop is:
1.
\(\sqrt2\times10^{-2}\) Wb
2.
\(\sqrt2\times10^{-3}\) Wb
3.
\(\dfrac{1}{\sqrt{2}}\times10^{-2}\) Wb
4.
\(\dfrac{1}{\sqrt{2}}\times10^{-3}\) Wb
Subtopic: Magnetic Flux |
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A circular coil of radius \(10\) cm, \(100\) turns is placed with its plane perpendicular to the horizontal component of earth's magnetic field \((=3.0\times 10^{-5}~\text{T})\). It is rotated about its vertical diameter through \(180^\circ\) in \(0.314\) s. What is the magnitude of emf induced in the coil?
| 1. | \(3\times 10^{-4}\) V | 2. | \(6\times 10^{-4}\) V |
| 3. | \(6\times 10^{-5}\) V | 4. | \(6\times 10^{-6}\) V |
Subtopic: Faraday's Law & Lenz Law |
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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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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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Level 1: 80%+
NEET - 2022
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A straight conductor of length \(6~\text{m},\) placed along the \(z\text-\)axis, begins to move along the positive \(x\text- \)axis with a velocity of \(5\) m/s in a magnetic field \(\vec {B}=(0.2 \hat{i}+0.1 \hat{j}) ~\text{T}.\) The induced EMF across the conductor is:
1. \(6\) V
2. \(3\) V
3. \(1\) V
4. \(5\) V
1. \(6\) V
2. \(3\) V
3. \(1\) V
4. \(5\) V
Subtopic: Motional emf |
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Level 2: 60%+
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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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Two coils \(1\) and \(2\), have mutual inductance \(M\) and resistance \(R\) each. A current flow in coil \(1\), which varies with time as; \(I_1=kt^{2},\) where \(k\) is constant, \(t\) is time. The total charge that flown through coil \(2\), between \(t=0\) to \(t=\dfrac{T}{2}\) will be:
1. \(\dfrac{MkT^2}{4R}\)
2. \(\dfrac{2MkT^2}{R}\)
3. \(\dfrac{MkT^2}{2R}\)
4. Zero
1. \(\dfrac{MkT^2}{4R}\)
2. \(\dfrac{2MkT^2}{R}\)
3. \(\dfrac{MkT^2}{2R}\)
4. Zero
Subtopic: Mutual Inductance |
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An iron rod is placed parallel to magnetic field of intensity \(2000\) A/m. The magnetic flux through the rod is \(6\times 10^{-4}\) Wb and area of cross-section is \(3\) cm2. The magnetic permeability of the rod in the SI unit is:
1. \(10^{-1}\)
2. \(10^{-2}\)
3. \(10^{-3}\)
4. \(10\)
1. \(10^{-1}\)
2. \(10^{-2}\)
3. \(10^{-3}\)
4. \(10\)
Subtopic: Magnetic Flux |
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A straight wire \(AB\) of length \(L\) rotates about \(A,\) with an angular speed \(\omega.\) A constant magnetic field \(\mathbf B\) acts into the plane, as shown.
| Assertion (A): | The average induced electric field within the wire has a magnitude of \(\dfrac12B\omega L.\) |
| Reason (R): | The induced electric field is the motional EMF per unit length, and the motional EMF is \(\dfrac12B\omega L^2.\) |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
Subtopic: Motional emf |
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Level 3: 35%-60%
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A small square loop of wire of side \(\ell \) is placed inside a large square loop of wire \(L\) \((L\gg l).\) Both loops are coplanar and their centres coincide at point \(O\) as shown in the figure. The mutual inductance of the system is:
| 1. | \(\dfrac{2\sqrt{2}\mu _{0}L^{2}}{\pi \ell}\) | 2. | \(\dfrac{\mu_{0} \ell^{2}}{2 \sqrt{2} \pi {L}} \) |
| 3. | \(\dfrac{2 \sqrt{2} \mu_{0} \ell^{2}}{\pi {L}} \) | 4. | \(\dfrac{\mu_{0} L^{2}}{2 \sqrt{2} \pi \ell}\) |
Subtopic: Mutual Inductance |
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