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Can you show how to calculate the magnitude of the magnetic force  on a 160 meter...

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lkehoe | (Level 1) Valedictorian

Posted April 9, 2013 at 10:47 PM via web

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Can you show how to calculate the magnitude of the magnetic force  on a 160 meter length of straight wire stretched between two towers carrying a 150-A current? The earth's magnetic field of 5.0 x 10^-5 T  makes an angle of 65 degrees with the wire.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 10, 2013 at 4:14 AM (Answer #1)

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If a wire of length L carrying a current I lies in a magnetic field B, the force on the wire due to the interaction between magnetic fields is given by F = `I*LxxB` .

A straight wire of length 160 m is carrying a current equal to 150 A. The Earth's magnetic field is 5*10^-5 T and makes an angle 65 degrees with the wire. It is assumed that the angle between the direction of current and the magntic field is 65 degrees. In this canse the magnitude of the force on the wire is F = 150*160*5*10^-5*sin 65 =1.087 N

The magnitude of the magnetic force acting on the wire is equal to 1.087 N

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