Magnetic Force on Current-Carrying Wire Video Lessons

Concept

# Problem: A DC power line for a light-rail system carries 1000 A at an angle of 30.0° to the Earth's 5.00x10-5 T field. a. What is the force on a 100-m section of this line? b. Discuss practical concerns this presents, if any.

###### FREE Expert Solution

The magnitude of the force is given by:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{i}}{\mathbf{l}}{\mathbf{B}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}}$, where i is current through the DC powerline, l is the length of the power line, B is the Earth's magnetic field strength, and θ is the angle between i and B.

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###### Problem Details

A DC power line for a light-rail system carries 1000 A at an angle of 30.0° to the Earth's 5.00x10-5 T field.

a. What is the force on a 100-m section of this line?

b. Discuss practical concerns this presents, if any.