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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. \(18.6~\text A\)
Subtopic: Faraday's Law & Lenz Law |
86%
From NCERT
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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 |
87%
From NCERT
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 |
75%
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 |
77%
From NCERT
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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 |
57%
From NCERT
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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 |
83%
From NCERT
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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 |
51%
From NCERT
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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 |
74%
From NCERT
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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 |
55%
From NCERT
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A current of \(2.5~\text A\) flows through a coil of inductance \(5~\text H.\) The magnetic flux linked with the coil is:
1. \(0.5~\text{Wb}\)
2. \(12.5~\text{Wb}\)
3. zero
4. \(2~\text{Wb}\)
1. \(0.5~\text{Wb}\)
2. \(12.5~\text{Wb}\)
3. zero
4. \(2~\text{Wb}\)
Subtopic: Self - Inductance |
85%
From NCERT
NEET - 2013
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