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

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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.

An electric power line carries a current of

##### 1 Answer

Nov 23, 2017

#### Explanation:

The magnitude of the magnetic force is given by

#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

Using the equation, we get: