A square loop of side \(1~\text m\) and resistance \(1~\Omega\) is placed in a magnetic field of \(0.5~\text T.\) If the plane of the loop is perpendicular to the direction of the magnetic field, the magnetic flux through the loop is:
1. \(0\) 2. \(2\) weber
3. \(0.5\) weber 4. \(1\) weber
Subtopic:  Magnetic Flux |
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In a coil of resistance \(10\) \(\Omega\), the induced current developed by changing magnetic flux through it is shown in the figure as a function of time. The magnitude of change in flux through the coil in Weber is:

     

1. \(2\)
2. \(6\)
3. \(4\)
4. \(8\)

Subtopic:  Magnetic Flux |
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A coil of resistance \(400~\Omega\) is placed in a magnetic field. The magnetic flux \(\phi~\text{(Wb)}\) linked with the coil varies with time \(t~\text{(s)}\) as \(\phi=50t^{2}+4.\) The current in the coil at \(t=2~\text{s}\) is:
1. \(0.5~\text{A}\)
2. \(0.1~\text{A}\)
3. \(2~\text{A}\)
4. \(1~\text{A}\)

Subtopic:  Faraday's Law & Lenz Law |
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A circular loop of radius \(\mathrm{R}\), enters a region of uniform magnetic field \(\mathrm{B}\) as shown in the diagram. The field \((\mathrm{B})\) is perpendicular to the plane of the loop while the velocity of the loop,\(\mathrm{v}\), is along its plane. The induced EMF:
                        
1. increases continuously. 
2. decreases continuously.
3. first increases and then decreases.
4. remains constant throughout.
Subtopic:  Faraday's Law & Lenz Law |
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A big circular coil with \(1000\) turns and an average radius of \(10~\text{m}\) is rotating about its horizontal diameter at a rate of \(2~\text{rad s}^{-1}.\) The vertical component of the Earth's magnetic field at that location is \(2\times 10^{-5}~\text{T},\) and the electrical resistance of the coil is \(12.56~\Omega,\) the maximum induced current in the coil will be:
1. \(2~\text{A}\)
2. \(0.25~\text{A}\)
3. \(1.5~\text{A}\)
4. \(1~\text{A}\)
Subtopic:  Faraday's Law & Lenz Law |
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The magnetic field, through a closed loop of conducting wire covering an area of \(100\) cm2, is \(5\times10^{-2}\) T and it is uniform and normal to the area. If the field is switched off in a time of \(10\) ms, the average emf induced is:
1. \(5\) V 2. \(0.5\) V
3. \(0.05\) V 4. \(5\times10^{-4}\) V
Subtopic:  Faraday's Law & Lenz Law |
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The figure shows planar loops of different shapes moving out of or into a region of a magnetic field which is directed normally to the plane of the loop away from the reader. Then:

            

1. for the rectangular loop abcd, the induced current is clockwise.
2. for the triangular loop abc, the induced current is clockwise.
3. for the irregularly shaped loop abcd, the induced current is anti-clockwise.
4. none of these.

Subtopic:  Faraday's Law & Lenz Law |
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A conducting circular loop is placed in a uniform magnetic field, \(B=0.025~\text{T}\) with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of \(1~\text{mm s}^{-1}\). The induced emf, when the radius is \(2~\text{cm}\), is:
1. \(2\pi ~\mu\text{V}\)
2. \(\pi ~\mu\text{V}\)
3. \(\dfrac{\pi}{2}~\mu\text{V}\)
4. \(2 ~\mu \text{V}\)

Subtopic:  Faraday's Law & Lenz Law |
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A square wire loop of resistance \(0.5\) \(\Omega\)/m, having a side \(10\) cm and made of \(100\) turns is suddenly flipped in a magnetic field \(B,\) which is perpendicular to the plane of the loop. A charge of \(2\times10^{-4} \) C passes through the loop. The magnetic field \(B\) has the magnitude of: 
1. \(2\times10^{-6} \) T
2. \(4\times10^{-6} \) T
3. \(2\times10^{-3} \) T
4. \(4\times10^{-3} \) T
Subtopic:  Magnetic Flux |
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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced emf is:
1. twice per revolution.
2. four times per revolution.
3. six times per revolution.
4. once per revolution.
 
Subtopic:  Faraday's Law & Lenz Law |
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