We want to use the Earth's magnetic field to apply a torque

Last updated: 7/10/2022

We want to use the Earth's magnetic field to apply a torque on a current loop. Suppose the Earth's magnetic field at this location is 5*10^(-5) Tesla (0.5 Gauss) and we want to apply a maximum of 1.2 Newton-meters of torque (if the loop is oriented parallel to the magnetic field). The loop is circular with a radius of 1.5 meters. How much current do we need to apply to the loop? The loop is made of aluminum wire (circular in cross section) with a thickness of 0.02 meters (or a radius of 0.01 meters). Aluminum has a resistivity of 2.65*10^(-8) Ohm meters. How much power does it take to power the loop?