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A rectangular coil of $50$ turns with sides of $6$ cm and $8$ cm$,$ carries a current of $1\mathrm{.}75$ A in the direction shown. It is pivoted on the Z axis. If the coil plane forms an angle of $37$ with the Y$-$axis. Calculate:

a$)$ Magnitude of the magnetic dipole moment

b$)$ Torsion moment $($magnitude and direction$)$ if in a uniform magnetic field $=1\mathrm{.}5$ T j

c$)$ Potential energy