I have a physics question here I need help with. Here is the question: At a site

Question

I have a physics question here I need help with. Here is the question:

At a site where the Earth?s magnetic field has a magnitude of 0.41 gauss (where 1 gauss = 1.00 X 10^-4 T) and points to the north, 68 degree below the horizontal, a high-voltage power line 227 m in length carries a current of 120 A. Determine the magnitude and direction of the magnetic force exerted on this wire, if the orientation of the wire and hence the current is as follows. (a) horizontally toward the south magnitude direction measured below the horizontal (b) horizontally toward the west magnitude N direction south at measured below the horizontal

Explanation / Answer

a)

Magnetic force

F=BILSin(90)=(0.41*10-4)*120*227

F=1.12 N

Direction is east at 90-68=22o measured below the horizontal

b)

Magnetic force

F=BILSin(68)=(0.41*10-4)*120*227*sin68

F=1.04 N

Direction is south measured at 22o below the horizontal

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