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Imagine a power line carrying 1400A through the earth\'s magnetic field (5*10^-5

ID: 2278898 • Letter: I

Question

Imagine a power line carrying 1400A through the earth's magnetic field (5*10^-5 T) in each of the following directions. Per meter, what is the magnitude of the force acting on the line:

A. to the North?
B. to the West?
C. in a direction that points 30 degrees south of east?

Equations:

Imagine a power line carrying 1400A through the earth's magnetic field (5*10^-5 T) in each of the following directions. Per meter, what is the magnitude of the force acting on the line: to the North? to the West? in a direction that points 30 degrees south of east?

Explanation / Answer

Force on a current carrying wire is given by F = BILsin(theta) where theta is the angle between the current and the field.
Your answer for A is correct.
In B the current is perpendicular to the field.
And in C the angle is 120 degrees.