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A high-voltage power line carries a current of 140 at a location where the Earth

ID: 1901206 • Letter: A

Question

A high-voltage power line carries a current of 140 at a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 69 below the horizontal.
Find the direction of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the east.
Find the magnitude of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the east.Find the direction of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the south.
Find the magnitude of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the south.

Explanation / Answer

A high-voltage power line carries a current of 140 at a location where the Earth's magnetic field has a magnitude of 0.59 G and points to the north, 69 below the horizontal.

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Find the direction of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the east.

points to the north, 21 above the horizontal.

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Find the magnitude of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the east.

F = i l B sin90 = 140 * 300 * 0.59e-4 = 2.48 N

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Find the direction of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the south.

East

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Find the magnitude of the magnetic force exerted on a 300 length of wire if the current in the wire flows horizontally toward the south.

F = i l B sin90 = 140 * 300 * 0.59e-4 * sin69 = 2.31 N

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