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Question: A toroid of n turns, mean radius R and cross-sectional radius a carries current I. It is placed on a...

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 x-y plane. Its magnetic moment M\overrightarrow { \mathrm { M } }

A

Is non-zero and points in the z-direction by symmetry

B

Points along the axis of the toroid ( M=Mϕ^\vec { M } = M \hat { \phi } )

C

Is zero, otherwise there would be a field falling as 1r3\frac { 1 } { \mathrm { r } ^ { 3 } } at large distances outside the toroid

D

Is pointing radially outwards.

Answer

Is zero, otherwise there would be a field falling as 1r3\frac { 1 } { \mathrm { r } ^ { 3 } } at large distances outside the toroid

Explanation

Solution

In a toroid magnetic field as in only confined inside the body of toroid in the form of concentric magnetic lines of force and outside the toroid magnetic