Question

[3] The rectangular loop shown below, carrying the current I, is located in a uniform magnetic field of 0.25 T pointing in the negative y direction. Using the following data: h4.0 cm, w4.0 cm, 33.5°, I 10.0 A, answer the following questions: a) What is the magnitude of the magnetic dipole moment of the loop? b) Find the magnitude & direction of the torque on the loop.

Answer 1

The torque ? on a current loop is given by … v_? = ( v_? ) × ( v_B ) where

(v_? ) = torque vector

( v_? ) = magnetic dipole moment vector of the current loop

( v_B ) = magnetic field vector

? = ? B sin ? … where … ? = ? = 34° ? = i h w

Magnetic dipole moment, ? = i h w = ( 10 A ) [ ( 4.0 / 100 ) m ] [ ( 4.0 / 100 ) m ] = 0.016 A • m ²
Torque, ? = ( i h w ) B sin 33.5° = ( 0.016 A • m ² ) ( 0.25 T ) sin 33.5° = 2.2077× 10 ? ³ N • m