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. \(0.005~\text{V}\)
Subtopic:  Magnetic Flux |
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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. \(0.01~\text{Wb}\)
Subtopic:  Magnetic Flux |
 86%
Level 1: 80%+
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. \(2\text{ Wb}\)
3. \(0.5\text{ Wb}\)
4. \(1\text{ Wb}\)
Subtopic:  Magnetic Flux |
 68%
Level 2: 60%+
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 |
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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 |
Level 3: 35%-60%
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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 |
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Level 3: 35%-60%
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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 |
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Level 2: 60%+
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