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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:  Ampere Circuital Law |
 52%
Level 3: 35%-60%
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From Ampere's circuital law, for a long straight wire of circular cross-section carrying a steady-current, the variation of the magnetic field inside and outside the region of the wire is:
1. A linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region.
2. Uniform and remains constant for both regions.
3. A linearly increasing function of distance upto the boundary of the wire and then a linearly decreasing one for the outside region.
4. A linearly increasing function of distance \(r\) upto the boundary of the wire and then decreasing one with \(1/r\) dependence for the outside region.
Subtopic:  Ampere Circuital Law |
 67%
Level 2: 60%+
NEET - 2022
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