A high-voltage power line carries a current of 114 A at a location where the Ear

Question

A high-voltage power line carries a current of 114 A at a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 70 ? below the horizontal.

Part A Find the direction of the magnetic force exerted on a 310 m length of wire if the current in the wire flows horizontally toward the east.

a) force points toward south, 20 ? below the horizontal

b) force points toward north, 70 ? above the horizontal

c) force points toward south, 20 ? above the horizontal

d) force points toward north, 20 ? above the horizontal

Part B Find the magnitude of the magnetic force exerted on a 310 m length of wire if the current in the wire flows horizontally toward the east.

Express your answer using two significant figures. F = N

Part C Find the direction of the magnetic force exerted on a 310 m length of wire if the current in the wire flows horizontally toward the south.

a) force points toward the north

b) force points toward the south

c) force points toward the west

d) force points toward the east

Part D Find the magnitude of the magnetic force exerted on a 310 m length of wire if the current in the wire flows horizontally toward the south.

Express your answer using two significant figures. F = N

Explanation / Answer

Given,

current i = 114 A

Earth magnetic field is B = 0.59 G

= 0.59 *10^-4 T ( 1 gauss = 10^-4 T )

length of the wire is L = 310 m horizontally towards south

a ) force point south , 20 degrees below horizontal

b ) magnetic force F = i L B sin?

= 114 A * 310 m * 0.59 * 10^-4 T ( sin 90 - 70 )= 0.713 N

c ) force point towards the east

d ) magnetic force F = i L B sin?

= 114 A * 310 m * 0.59 * 10^-4 T ( sin 90 - 70)= 0.713 N

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