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A toroid of n turns, mean radius R and c...

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 `vecM`

A

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

B

points along the axis of the toroid `(vec(M)=mhatphi)`

C

is zero, otherwise there would be a field falling as `(1)/(r^(3))` at large distances outside the toroid

D

is pointing radially outwards.

Text Solution

Verified by Experts

The correct Answer is:
A

In a toroid magnetic field is only confined inside the body of toroid in the form of conentric magnetic lines of force and outside the toroid magnetic field is zero.
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Knowledge Check

  • A circular coil of n turns and radius r carries a current I. The magnetic field at the center is

    A
    `(mu_0nI)/(r)`
    B
    `(mu_0nI)/(2r)`
    C
    `(2mu_0nI)/(r)`
    D
    `(mu_0nI)/(4r)`
  • The radius of a circular loop is r and a current I is flowing is it. The equivalent magnetic moment will be

    A
    Ir
    B
    `2 pi Ir`
    C
    `I pi r^(2)`
    D
    `(1)/(r^(2))`
  • A toroid of mean radius 'a', cross section radius 'r' and total number of turns N. It carries a current 'I'. The torque experienced by the toroid if a uniform magnetic field of strength B is applied.

    A
    is zero
    B
    is Bi N `pir^(2)`
    C
    is B I `N pi a^(2)`
    D
    depends on the direction of magnetic field.