A magnetic needle is kept in a non-uniform ma | vedclass

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(A) magnetic needle acts as a magnetic dipole with two poles of equal strength $m$ separated by a distance $2l$.In a non-uniform magnetic field,the ma

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$A$ force and a torque

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(A) magnetic needle acts as a magnetic dipole with two poles of equal strength $m$ separated by a distance $2l$.In a non-uniform magnetic field,the magnetic field strength $B$ varies at different points in space.Since the force on a magnetic pole is given by $F = mB$,the forces acting on the two poles of the needle will differ in both magnitude and direction because the magnetic field $B$ is not constant.Because the net force is the vector sum of these unequal forces,the needle experiences a net force.Because the forces act at different points and are not necessarily collinear,the needle also experiences a net torque.Therefore,a magnetic needle in a non-uniform magnetic field experiences both a force and a torque.

$A$ magnetic needle is kept in a non-uniform magnetic field. It experiences

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