Question

A high voltage power line carries a current of 105 A at a location where the Earth's magnetic field has a magnitude of 0.588 G and points the to the North, 74.7 degrees below the horizontal. Calculate the magnitude of the magnetic force exerted on a 253 m length of wire if the current in the wire flows horizontally toward the east?

_____________________________________________________________

Calculate the magnitue of the magnetic force exerted on a 253 m length of wire if the current in the wire flows horizontally toward the south?

____________________________________________________________

Answer 1

A high voltage power line carries a current i = 105 A

Earth magnetic field is B = 0.588 G

                                           = 0.588 *10^-4 T         ( 1 gauss = 10^-4 T )

length of the wire is L = 253 m horizontally towrds East

a )  magnetic force F = i L B sin?

                                 = 105 A * 253 m * 0.588 * 10^-4 T ( sin 90 - 74.7 )

                                   = 1.562 N sin 15.3 degrees

b ) length of the wire is L = 253 m horizontally towrds South

magnetic force F = i L B sin?

                                 = 105 A * 253 m * 0.588 * 10^-4 T ( sin 90 - 74.7 )

                                   = 1.562 N sin 15.3 degrees

Please Rate, Ask Your Query. Thank You :)