- 1(current)
Q. No.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: Â 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: Â 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
1. \(2\times10^{-6} \) T
2. \(4\times10^{-6} \) T
3. \(2\times10^{-3} \) T
4. \(4\times10^{-3} \) T
Subtopic: Â 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: Â Magnetic Flux |
From NCERT
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