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Q. No.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 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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A square loop with a side length of \(1~\text m\) and resistance of \(1~\Omega\) is placed in a uniform magnetic field of \(0.5~\text T.\) The plane of the loop is perpendicular to the direction of the magnetic field. The magnetic flux through the loop is:
1. zero
2. \(2\) Wb
3. \(0.5\) Wb
4. \(1\) Wb
1. zero
2. \(2\) Wb
3. \(0.5\) Wb
4. \(1\) Wb
Subtopic: Magnetic Flux |
69%
From NCERT
NEET - 2022
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A square of side \(L\) meters lies in the \(x\text-y\) plane in a region, where the magnetic field is given by \({B}=B_0(2 \hat{i}+3 \hat{j}+4 \hat{k}) ~\text{T}\), where \(B_0\) is constant. The magnitude of flux passing through the square is:
| 1. | \(2 B_0 L^2 ~\text{Wb}.\) | 2. | \(3 B_0 L^2 ~\text{Wb}.\) |
| 3. | \(4 B_0 L^2 ~\text{Wb}.\) | 4. | \(\sqrt{29} B_0 L^2 ~\text{Wb}.\) |
Subtopic: Magnetic Flux |
71%
From NCERT
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A loop, made of straight edges has six corners at \(A(0,0,0), B(L, 0,0), C(L,L,0), D(0,L,0), E(0,L,L)\) and \(F(0,0,L).\) A magnetic field \(B=B_0(\hat{i}+\hat{k})~\text{T}\) is present in the region. The flux passing through the loop \(ABCDEFA\) (in that order) is:
| 1. | \(( B_0 L^2 )~\text{Wb} \) | 2. | \((2 B_0 L^2 )~\text{Wb} \) |
| 3. | \(( \sqrt{2} B_0 L^2 )~\text{Wb} \) | 4. | \((4 B_0 L^2) ~\text{Wb} \) |
Subtopic: Magnetic Flux |
From NCERT
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A cylindrical bar magnet is rotated about its axis (see figure). A wire is connected from the axis and is made to touch the cylindrical surface through a contact. Then:
| 1. | a direct current flows in the ammeter \(A\). |
| 2. | no current flows through the ammeter \(A\). |
| 3. | an alternating sinusoidal current flows through the ammeter \(A\) with a time period \(T=2π/ω.\) |
| 4. | a time varying non-sinosoidal current flows through the ammeter \(A\). |
Subtopic: Magnetic Flux |
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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The diagram below shows two circular loops of wire (\(A\) and \(B\)) centered on and perpendicular to the \(x \)-axis and oriented with their planes parallel to each other. The \(y\)-axis passes vertically through the loop \(A\) (dashed line). There is a current \(I_{B}\) in the loop \(B\) as shown. Possible actions which we might perform on the loop \(A\) are:
| (I) | move \(A\) to the right along \(x \)-axis closer to \(B\) |
| (II) | move \(A\) to the left along \(x\)-axis away from \(B\) |
| (III) | as viewed from above, rotate \(A\) clockwise about the \(y\)-axis |
| (IV) | as viewed from above, rotate \(A\) anticlockwise about \(y\)-axis |
Which of these actions will induce a current in \(A\) only in the direction shown?
| 1. | (I) only | 2. | (II) only |
| 3. | (I) and (IV) only | 4. | (II) and (III) only |
Subtopic: Magnetic Flux |
From NCERT
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The two long, parallel wires shown in the diagram carry equal and opposite currents \(i\). The currents change linearly with time: \(\dfrac{di} {dt}\) = a constant = \(K\). The small circuit is situated midway between the wires and has an area \(A\). The emf induced in the small circuit is:
| 1. | zero | 2. | \(\dfrac{\mu_{0} A K}{2 \pi l}\) |
| 3. | \(\dfrac{\mu_{0} A K}{ \pi l}\) | 4. | \(\dfrac{2 \mu_{0} A K}{\pi l}\) |
Subtopic: Magnetic Flux |
From NCERT
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