Force on a Current Loop Near a Wire

Question

A long, straight wire carries a steady current $$I$$. A circular loop of radius $$r$$ carrying current $$I'$$ is positioned with its center at a distance $$d$$ from the wire. The plane of the loop is oriented parallel to the wire, meaning the axis of the loop is perpendicular to the wire. What is the net magnetic force on the loop due to the magnetic field produced by the straight wire?

Accepted Answer

$$0$$

Answer

$$\frac{\mu_0 I I' r^2}{2d}$$

Answer

$$\frac{2\pi \mu_0 I I' r^2}{d^2}$$

Answer

$$\frac{\mu_0 I I' \pi r^2}{d}$$

Force on a Current Loop Near a Wire

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