A parallel plate capacitor is being charged by means of a constant current \(i.\) The plates are circular (of radius \(R)\) and are separated by a distance \(d.\) The magnetic field between the plates, at a distance \(\dfrac{R}{2}\) from the central axis is:
1. zero 2. \(\dfrac{\mu_{0} i}{2 \pi \left(\dfrac{R}{2}\right)}\)
3. \(\dfrac{1}{4}\dfrac{\mu_{0} i}{2 \pi R}\) 4. \(\dfrac{1}{2}\dfrac{\mu_0 i}{2\pi R}\)
Subtopic:  Magnetic Flux |
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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 |
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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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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 |
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