A power line carries a current of 110 A at a location where the Earth\'s magneti

Question

A power line carries a current of 110 A at a location where the Earth's magnetic field has a magnitude of 0.41 Gauss (0.41·10-4 T) and points due north, nearly parallel to the ground. Find the direction and magnitude of the magnetic force exerted on a 170 m length of the power line if the current in the line flows in the following directions:

(a) horizontally toward the east
__________N, (up, down, north, south, east, west, n/a f=0)

(b) horizontally toward the north
__________N, (up, down, north, south, east, west, n/a f=0)

(c) How far away do you have to get from this power line, before the B field from the power line itself is about as small as the Earth's?
__________m

(d) Out of these choices, which country is this power line most likely in? (ecuador, australia, united states)
If the Earth's magnetic field had instead pointed at a significant angle below horizontal, then you would have answered: (ecuador, australia, united states)

Explanation / Answer

(A) IL = 18700 i

B = 0.41 x 10^-4 j

F = IL X B = 0.77 N k

force = 0.77 N up

(B) IL = 18700 j

F = 0

(C) B = u0 I / (2 pi R)

0.41 x 10^-4 = (4pi x 10^-7) (110) / (2 x pi x R)

R =0.54 m

(d) ecudor

if angle below then united states

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