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The figure shows a circular loop of radius a with two long parallel...
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The figure shows a circular loop of radius a with two long parallel wires (numbered 1 and 2 ) all in the plane of the paper. The distance of each wire from the centre of the loop is \( \mathrm{d} \). The loop and the wires are carrying the same current I. The current in the loop is in the counterclockwise direction if seen from above.
Consider \( \mathrm{d} \gg\mathrm{a} \), and the loop is rotated about its diameter parallel to the wires by \( 30^{\circ} \) from the position shown in the figure. If the currents in the wires are in the opposite directions, the torque on the loop at its - new position will be (assume that the net field due to the wires is constant over the loop)
(A) \( \frac{\mu_{0} I^{2} a^{2}}{d} \)
(B) \( \frac{\mu_{0} I^{2} a^{2}}{2 d} \)
(C) \( \frac{\sqrt{3} \mu_{0} I^{2} a^{2}}{d} \)
(D) \( \frac{\sqrt{3} \mu_{0} I^{2} a^{2}}{2 d} \)
Consider \( \mathrm{d} \gg\mathrm{a} \), and the loop is rotated about its diameter parallel to the wires by \( 30^{\circ} \) from the position shown in the figure. If the currents in the wires are in the opposite directions, the torque on the loop at its - new position will be (assume that the net field due to the wires is constant over the loop)
(A) \( \frac{\mu_{0} I^{2} a^{2}}{d} \)
(B) \( \frac{\mu_{0} I^{2} a^{2}}{2 d} \)
(C) \( \frac{\sqrt{3} \mu_{0} I^{2} a^{2}}{d} \)
(D) \( \frac{\sqrt{3} \mu_{0} I^{2} a^{2}}{2 d} \)