A high-voltage power line carries a current of 116 Aat a location where the Eart

Question

A high-voltage power line carries a current of 116 Aat a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 72 below the horizontal.

A: Find the direction of the magnetic force exerted on a 250 m length of wire if the current in the wire flows horizontally toward the east.

B: Find the magnitude of the magnetic force exerted on a 250 m length of wire if the current in the wire flows horizontally toward the east.

C: Find the direction of the magnetic force exerted on a 250 m length of wire if the current in the wire flows horizontally toward the south.

D: Find the magnitude of the magnetic force exerted on a 250 m length of wire if the current in the wire flows horizontally toward the south

Explanation / Answer

F = ILB sin

I = 116 A
B = 0.59 G = 5.9 x 105 T (points N, 72° below the horizontal)
L = 250 m

Right-hand rule is your best friend!

for part (b) is 90°, and for part (d) it is 72°.

a) Using the right-hand rule, the magnetic force must point north and 18° above the horizontal.

b) Plug in and solve for F = 1.7 N.

c) Use the same right-hand rule, the magnetic force must point east and 0º (on the horizontal)

d) F = 1.63 N.

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