In the figure shown a coil of single turn is wound on a sphere of radius
and mass
. The plane of the coil is parallel to the plane and lies in the equatorial plane of the sphere. Current in the coil is
. The value of
if the sphere is in equilibrium is
Text Solution
Verified by ExpertsB
The gravitational torque must be counter balanced by the magnetic torque about
, for equilibrium of the sphere. The gravitational torque will be given by:

The magnetic moment of the coil
and

for the equilibrium condition, we get


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