At a site where the Earth\'s magnetic field has a magnitude of 0.52 gauss (where

Question

At a site where the Earth's magnetic field has a magnitude of 0.52 gauss (where 1 gauss 1.00 times 10^) and points to the north, 68 below the horizontal, a high voltage power line 186 m length carries a in current of 120 A Determine the magnitude and direction of the magnetic force exerted on this wire, if the orientation of the wire and hence the current is as follows, (a) horizontally toward the south direction Mat measured below the horizontal (b) horizontally toward the west D measured below the horizontal in each of the six cases shown below? of the magnetic force on the current what is the direction

Explanation / Answer

a) F = i L B * sin theta = 120 * 186 * 0.52 * 10-4 * sin 68

F = 1.076 N

0 deg

b) By = 0.52 * 10-4 * cos 68

Bz = 0.52 * 10-4 * sin 68

Fy = -i l Bz = -120 * 186 * 0.52 * 10-4 * sin 68 = -1.076 N

Fz = -i l By = -120 * 186 * 0.52 * 10-4 * cos 68 = 0.435 N

F = sqrt [1.0762 + 0.4352] = 1.16 N

theta = tan-1 [0.435 / 1.076] = 22.0 deg

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