A horizontal power line of length 552 m carries a current of

A horizontal power line of length 55.2 m carries a current of 2.13 kA northward as shown in the figure below. The Earth\'s magnetic field at this location has a magnitude of 5.30 times 10^-5 T. The field at this location is directed toward the north at an angle 65.0 degree below the power line. (a) Find the magnitude of the magnetic force on the power line. N

Solution

L = 55.2 m , I = 2.13 kA , B = 5.3*10^-5 T

F = ILBsin(theta)

F = 2.13*1000*55.2*5.3*10^-5*sin(65)

F = 5.65 N