Magnetic Field and range of potential energy

[anonymousphys]

Homework Statement

A wire is formed into a circle having a radius of .02m and placed in a uniform magnetic field of 1*10^-4. A current of 5A passes through the wire. What is the range of potential energy the wire possesses for different orientations?

Homework Equations

torque=BIA

The Attempt at a Solution

The answer is 2BIA. However, I am not sure how to relate torque to potential energy in this scenario.

 

[ideasrule]

torque is actually equal to BIAsin(theta), where theta is the angle between the field and the area. Potential energy is just the integral of -Td(theta), so find the function for potential energy and go from there.