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  4. The figure represents four positions of a current carrying coil in a magnetic field directed towards right. hat n represents the direction of area vector of the coil. The correct order of potential energy is:-

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Q. The figure represents four positions of a current carrying coil in a magnetic field directed towards right. $\hat{ n }$ represents the direction of area vector of the coil. The correct order of potential energy is:-Physics Question Image

Moving Charges and Magnetism

Solution:

$\because U =- BE \cos \theta$
(i) $\theta=180^{\circ} $
$\therefore U _{ I }=+ BE$
(ii) $\theta=90^{\circ} $
$\therefore U_{ II }=0$
(iii) $90^{\circ} < \theta<180^{\circ} 0 < U _{ III }<+ BE$
(iv) $0^{\circ} < \theta<90^{\circ} - BE < U _{ IV }<0$
$\therefore I > III > II > IV$