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A straight current-carrying wire carrying current \(I\) passes perpendicular to the plane of an imaginary rectangular loop \(PQRS\), passing through its centre \(O\) (into the diagram). The diagonals intersect at \(60^\circ,\) and side \(PS\) is smaller than side \(PQ. \) The value of \(\int \vec{B} \cdot d\vec{l} \) evaluated from \(P \) to \(Q \) (along \(PQ \)) has the magnitude:
| 1. | \(\dfrac{\mu_{0} I}{6}\) | 2. | \(\dfrac{2 \mu_{0} I}{6}\) |
| 3. | \(\dfrac{4\mu_{0} I}{6}\) | 4. | \(\dfrac{5\mu_{0} I}{6}\) |
Subtopic: Â Ampere Circuital Law |
 52%
Level 3: 35%-60%
Hints
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 Ampere Circuital Law |
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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