Answer to Question #168422 in Atomic and Nuclear Physics for Eliza

Question

A single-turn square loop 20.0 cm on a side carries a 1.5 A current.

(a) What’s the loop’s magnetic dipole moment?

(b) What’s the magnitude of the torque the loop would experience if it was in a 2.3T magnetic field with the loop’s dipole moment vector at 60^◦ to the field?

Answer 1

a)

$\mu=iA$

$i(l\times w)$

$1.5\times(20\times20)$

$= 600 A.m^{2}$

b)

$T=\mu Bsin(\theta)$

$=600\times2.3\times sin(60)$

$=1195.12N.m$