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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A circular ring is placed in a magnetic field of \(0.4\text{ T}.\) Suddenly its radius starts shrinking at the rate of \(1\text{ mm/s}.\) What will be the induced EMF in the ring at \(r = 2~\text{cm?} \) 
1. \(16 \pi~\mu \text{V}\)
2. \(8 \pi~\mu \text{V}\)
3. \(16 \pi~ \text{mV}\)
4. \(8 \pi~ \text{mV}\)
Subtopic:  Magnetic Flux |
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Consider a circular coil of wire carrying constant current \(I,\) forming a magnetic dipole. The magnetic flux through an infinite plane that contains the circular coil and excluding the circular coil area is given by \(\phi.\) The magnetic flux through area is given by \(\phi_0.\) Which of the following is correct?
1. \(\phi_i=-\phi_0\)
2. \(\phi_i>\phi_0\)
3. \(\phi_i=\phi_0\)
4. \(\phi_i<\phi_0\)
Subtopic:  Magnetic Flux |
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A loop \(ABCDEFA\) of straight edges has six corner points \({A}(0,0,0), {B}(5,0,0),{C}(5,5, 0),\) \(D(0,5,0), E(0,5,5)\) and \(F(0,0,5).\) The magnetic field in this region in \(\vec{B}=(3 \hat{i}+4 \hat{k})~\text T.\) The quantity of flux through the loop \(ABCDEFA\) (in Wb) is:
1. \(145~\text{Wb}\)
2. \(155~\text{Wb}\)
3. \(165~\text{Wb}\)
4. \(175~\text{Wb}\)
Subtopic:  Magnetic Flux |
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A planar loop of wire rotates in a uniform magnetic field. Initially, at \(t=0,\) the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of \(10~\text s\) about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:
1. \(2.5~\text s ~\text{and}~ 5.0 ~\text s\)
2. \(5.0~\text s ~\text{and}~ 10 ~\text s\)
3. \(2.5~\text s ~\text{and}~ 7.5 ~\text s\)
4. \(5.0~\text s ~\text{and}~ 7.5 ~\text s\)
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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