Calculating Torque on a Current-Carrying Loop in a Strong Magnetic Field

Torque on the loop can be found using $\tau =\text{NIAB}\text{sin}\theta$. Maximum torque occurs when $\theta =\text{90º}$ and $\text{sin}\theta =1$.

For $\text{sin}\theta =1$, the maximum torque is

Entering known values yields

This torque is large enough to be useful in a motor.