Avery long, straight wire carrying a constant current i(t) = I1 and a rectangular single turn coil lie in the same plane, as illustrated in Figure. The wire and the coil are surrounded by air. A source is applied to the coil causing a constant clockwise current I2 to flow in the loop.
a. Derive an expression for the net force exerted on the coil due to the magnetic field of the wire.
b. Evaluate the force given that I1 = I2 = 10 A, l = 10 cm, r1 = 1 cm, and r2 = 10 cm.
c. Is the loop attracted or repelled by the wire?
