1.

A toroid of n turns, mean radius R and cross-sectional radius a carries current I. It is placed on a horizontal table taken as xy- plane. Its magnetic moment overset(to)(m)…..

Answer»

is non-zero and points in the z-direction by symmetry.
points along the axis of the toroid `( overset(to) (m) = m phi)`
is zero, otherwise there would be a field falling as `(1)/(r^3)` at LARGE distances outside the toroid.
is pointing radially outwards.

Solution :Toroid has magnetic moment. The magnetic field inside the toroid is uniform. Hence, magnetic LINES are circular in NATURE.
Magnetizing CURRENT flows in its ring on the ring surrounding the toroid ring but current I inside the toroid is zero, hence magnetic moment m = 0.
For larger distance r outside the toroid `m prop (1)/(r^3)` but it is not possible for toroid.


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