A rigid square loop of side ' $ \mathrm{a} $ ' and carrying current $ \mathrm{I}_{2} $ is lying on a horizontal surface near a long current $ \mathrm{I}_{1} $ carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be:

Question

A rigid square loop of side ' $ \mathrm{a} $ ' and carrying current $ \mathrm{I}_{2} $ is lying on a horizontal surface near a long current $ \mathrm{I}_{1} $ carrying wire in the same plane as shown in figure. The net force on the loop due to the wire will be:, Attractive and equal to $ \frac{\mu_{0} \mathrm{I}_{1} \mathrm{I}_{2}}{3 \pi} $, Repulsive and equal to $ \frac{\mu_{0} I_{1} I_{2}}{4 \pi} $, Repulsive and equal to $ \frac{\mu_{0} I_{1} I_{2}}{2 \pi} $, Zero

MARKS App · Accepted Answer

Force on segment 1-2 and 3-4 will get cancel out. Force on segment 4-1, F 1 = μ 0 I 1 I 2 2 π a × a toward Right Force on segment 2-3: F 2 = μ 0 I 1 I 2 2 π ( 2 a ) × a toward left Net force on loop: F n e t = F 1 - F 2 toward Right = μ 0 I 1 I 2 2 π - μ 0 I 1 I 2 4 π = μ 0 I 1 I 2 4 π toward Right or repulsive

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