Torque on a Magnetic Dipole

Estimate the torque on a square current loop that is exerted by a circular loop located a sufficient distance that the fields of both loops can be approximated as magnetic dipoles. Estimate the torque on the circular loop.

QUESTIONS
(Score is number right minus number wrong.)

The dipole moment of the circular loop on the left of the figure is given by

: Equation (3a).; Equation (3b).; Equation (3c).; Equation (3d).; Equation (3e).

The dipole moment of the square loop on the right of the figure is given by

: Equation (4a).; Equation (4b).; Equation (4c).; Equation (4d).; Equation (4e).

In using Equation (1) to find the torque on the square loop, we should use,

: Equation (5a); Equation (5b); Equation (5c); Equation (5d); Equation (5e); Equation (5f)

Equation (2) reduces to Equation (6) for the torque on the square loop.

: True; False

The torque on the square loop is correctly given by Equation (7).

: True; False

The torque on the square loop would turn it

: counterclockwise seen from large +z.; clockwise seen from large +y.; clockwise as seen from large +x.; counterclockwise as seen from large +x.

Since the two dipoles enter the equations in a symmetric fashion, we can conclude that the torque on the circular loop is the same as the torque on the square loop.

: True; False

The torque on the circular loop as the same magnitude as the torque on the square loop, but opposite direction.

: True; False

In using Equation (1) to find the torque on the circular loop, we should use,

: Equation (5a); Equation (5b); Equation (5c); Equation (5d); Equation (5e); Equation (5f)

Equation (2) reduces to Equation (6) for the torque on the circular loop.

: True; False

The torque on the circular loop is correctly given by Equation (7).

: True; False

In this particular case, the torques on the two loops have the same direction, but different magnitudes.

: True; False

EQUATIONS

Username

(Click here to return to the Table of Contents)