A high-voltage power line carries a current of 112Aat a location where the Earth

Question

A high-voltage power line carries a current of 112Aat a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 71?below the horizontal.

Part A:

Find the direction of the magnetic force exerted on a 350m length of wire if the current in the wire flows horizontally toward the east.

Part B

Find the magnitude of the magnetic force exerted on a 350m length of wire if the current in the wire flows horizontally toward the east.

Part C

Find the direction of the magnetic force exerted on a 350m length of wire if the current in the wire flows horizontally toward the south.

Part D

Find the magnitude of the magnetic force exerted on a 350m length of wire if the current in the wire flows horizontally toward the south.

force points toward south, 19? above the horizontal force points toward south, 19? below the horizontal force points toward north, 19? above the horizontal force points toward north, 71? above the horizontal

Explanation / Answer

a) force points toward north, 19 deg above the horizontal

b) F = i l B sin90

       = 112 * 350 * 0.59e-4 *1

      = 2.313 N

c) force points toward the east

d) F = i l B sin 71

       = 112 * 350 * 0.59e-4 * 0.9455

      = 2.187 N

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