Question Part Points The long straight wire AB shown in the

Question Part Points The long, straight wire AB shown in the following figure carries a current of I1 = 18.0 A. The rectangular loop whose long edges are parallel to the wire carries a current of I2 = 2.80 A. Find the magnitude and direction of the net force exerted on the loop by the magnetic field of the wire.

magnitude = T

Solution

F = F_l + F_r = (-I L B_l) i + (I L B_r) i

= I l [-mu₀ i_wire / 2 pi r_l + mu₀ i_wire / 2 pi r_r] i

= mu₀ I l i_wire / 2 pi * [1/r_r - 1/r_l]i

= [ 4 pi * 10-7 * 2.80 * 0.200 * 18 / 2 pi ] * [1/0.100 - 1/0.026]i

= - (5.66 * 10^-4 N) i