A high-voltage power line carries a current of 128 A at a location where the Ear

Question

A high-voltage power line carries a current of 128 A at a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 72 below the horizontal.

Find the direction of the magnetic force exerted on a 340 m length of wire if the current in the wire flows horizontally toward the east.

Find the magnitude of the magnetic force exerted on a 340 m length of wire if the current in the wire flows horizontally toward the east.

Find the direction of the magnetic force exerted on a 340 m length of wire if the current in the wire flows horizontally toward the south.

Find the magnitude of the magnetic force exerted on a 340 m length of wire if the current in the wire flows horizontally toward the south.

Explanation / Answer

if the current in the wire flows horizontally toward the east

F=(128)(340)(5.9*10^-5) = 2.57 N

if the current in the wire flows horizontally toward the east

F=(128)(340)(5.9*10^-5)sin72 = 2.44 N

if the current in the wire flows horizontally toward the south.

F=-(128)(340)(5.9*10^-5)sin72 = -2.44 N

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