How would you determine the magnitude of the magnetic force on a 120 m length of line?

An electric power line carries a current of 1100 A in a location where the earth's magnetic field is 6.0 ✕ 10^-5 T. The line makes an angle of 75° with respect to the field.

1 Answer
Nov 23, 2017

vecF~~7.65N

Explanation:

The magnitude of the magnetic force is given by vecF=vec(B)vec(I)lsintheta, where:

  • vecF is the vector value for the magnetic force (N)
  • vec(B) is the vector value for the magnetic field strength (T)
  • vecI is the vector value for the current (A)
  • l is the length of material being acted upon by the magnetic field (m)
  • theta is the angle between the current and magnetic field (hence why the vector arrows are needed)

The arrows are there for the vector values, as F, B, and I are part of a vector diagram:
![https://www.slideshare.net/cjordison/magnetic-force-field-2012](image.slidesharecdn.com)

Using the equation, we get:
vecF=(6*10^(-5))(1100)(120)sin75~~7.65N