Determine the magnitude and direction of the force on a 200 m power line carrying a current of 5.0-a due west in a magnetic field of 6.0 μτ in a direction of 30°, north of east.

Explanation:

l = 200 m

i = 5 A west

B = 6 micro Tesla direction 30 degree north of east

angle between length vector and the magnetic field vector = 180 - 30 = 150 degree

Write the length and the magnetic field in the vector form

Thus, the magnitude of force is 3 x 10^-3 newton and it is directed towards negative z axis direction.

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