A copper wire of density $ρ$ with cross–sectional area S bent to make three sides of a square can turn about a horizontal axis $O O^{/}$ . The wire is located in uniform vertical magnetic field. If on passing a current I through the wire the later deflects by an angle $θ$ and remain in equilibrium. Then

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Magnetic filed $B = \frac{2 ρ S g}{I} \tan θ$

Net magnetic force on the copper wire is zero

Magnetic filed $B = \frac{2 ρ S g}{I} \sin θ$

Net magnetic force on the copper wire is along horizontal

answer is A, C.

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Detailed Solution

Torque balance along horizontal axis.

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