A circular coil having N turns and radius r carries a current I . It is held in the X Z plane in a magnetic field B i ^ . The torque on the coil due to the magnetic field is:

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Magnetic moment M → = N I π r 2 j ^ Torque τ → = M → × B → = N I π r 2 j ^ × ( B i ^ ) = B N I π r 2 ( - k ^ ) N m τ → = B N I π r 2 N m

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