A high-voltage power line carries a current of 136A at a location where the Eart

Question

A high-voltage power line carries a current of 136A at a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 66 degrees below the horizontal.


Find the direction of the magnetic force exerted on a 310 length of wire if the current in the wire flows horizontally toward the east.

Find the magnitude of the magnetic force exerted on a 310length of wire if the current in the wire flows horizontally toward the east.

Find the direction of the magnetic force exerted on a 310 length of wire if the current in the wire flows horizontally toward the south.

Find the magnitude of the magnetic force exerted on a 310length of wire if the current in the wire flows horizontally toward the south.

Explanation / Answer

Fdir and Fmag---- i (l x B) this way find the direction and magnitude

Fdir.(current east) = 24 degrees towards vertical from north

Fmag = Bil = .59 * 6.67 *( 10-11) * 136 * 310 = 1.66 * 10-6 N

Fdir. ( current south) =in the east

Fmag(current south)= Bilsin(66)=1.5156 * 10-6 N

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