(a) Find the magnitude of the magnetic force on the power line. =____N (b) Find

Question

(a) Find the magnitude of the magnetic force on the power line.
=____N

(b) Find the direction of the magnetic force on the power line.

a-into the screen

b-out of the screen    

c-clockwise

d-counterclockwise

A horizontal power line of length 63.2 m carries a current of 2.34 kA northward as shown in the figure below. The Earth's magnetic field at this location has a magnitude of5.05 (a) Find the magnitude of the magnetic force on the power line. =____N (b) Find the direction of the magnetic force on the power line. a-into the screen b-out of the screen c-clockwise d-counterclockwise x 10-5 T. The field at this location is directed toward the north at an angle 65 1/2 below the power line.

Explanation / Answer

The formula for magnetic force is:

magnetic force = I*L X B (where I=current, L=length, X=cross product, and B=magnetic field)

which can be rewritten as:

magnetic force = I*L * B * sin(theta) (*where theta is the angle between the length and the magnetic field)

we are given:

I = 2.34 kA = 2340 A
L = 63.2 m
B = 5.05 x 10-5 T

theta = 65 degrees

plugging into the equation we get:

magnetic force = I*L * B * sin(theta)

magnetic force = (2340 A) * (63.2 m) * (5.05 x 10-5 T)* sin(65)
magnetic force = 6.8 N

Part B, find the direction of the magnetic force by using the Right Hand Rule

After applying you will find that the force is going "into the screen"

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