A uniform magnetic field exists in space as \(\vec{B}=4\hat{i}~\text{T}.\) The magnetic flux through an area \(\vec{S}=(2\hat{i}+4\hat{j})~\text{m}^2\) is: 
1. \(6~\text{Wb}\)
2. \(2~\text{Wb}\)
3. \(8~\text{Wb}\)
4. \(4~\text{Wb}\)
Subtopic:  Magnetic Flux |
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The magnetic flux through a circular loop varies with time according to the given equation:
        \(\phi=(5 t^2-3 t+5) ,\)
where \(\phi\) is in webers and \(t\) is in seconds.
If the resistance of the loop is \( 8~\Omega,\) what is the current in the loop at \(t=2 ~\text s \text{?}\)

1. \( \dfrac{15}{8}~\text{A}\) 2. \( \dfrac{5}{8}~\text{A}\)
3. \( \dfrac{17}{8}~\text{A}\) 4. \(\dfrac{13}{8}~\text{A}\)
Subtopic:  Magnetic Flux |
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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. \(10\)
Subtopic:  Magnetic Flux |
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The primary and secondary coils of a transformer have \(50\) and \(1500\) turns respectively. If the magnetic flux \(\phi\) linked with the primary coil is given by; \(\phi=\phi_0+4t,\) where \(\phi\) is in Weber, \(t\) is time in seconds, and \(\phi_0\)  is a constant, the output voltage across the secondary coil is:
1. \(90~\text{V}\)
2. \(120~\text{V}\)
3. \(220~\text{V}\)
4. \(30~\text{V}\)
Subtopic:  Magnetic Flux |
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AIPMT - 2007
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In a coil of resistance \(100~\Omega\), a current is induced by changing the magnetic flux through it (as shown in the graph). The magnitude of the change in the flux through the coil is:

             
1. \(200~\text{Wb}\)
2. \(225~\text{Wb}\)
3. \(250~\text{Wb}\)
4. \(275~\text{Wb}\)

Subtopic:  Magnetic Flux |
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