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A current carrying rectangular coil is p...

A current carrying rectangular coil is placed in a uniform magnetic field. In which orientation, the coil will not tend to rotate

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Yes, it is possible when applied magnetic field is perpendicular to the plane of the coil. In this case, the magnetic dipole moment vector of coil will be parallel to or antiparallel to applied magnetic field and net torque will be zero as `vec tau = vec mu xx vecB` .
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