Problem 34.47 (RHK)
A long, rigid conductor, lying along the x axis, carries a current of 5.0 A in the -x direction. A magnetic field is present, given by , with x in meters and in mT. We have to calculate the force on the 2.0-m segment of the conductor that lies between and .
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The force in a magnetic field on a segment of conductor of length carrying current is
Let us consider an infinitesimal section of the conductor of length ,with current , flowing in the -x direction. Force on this element in the magnetic field, , where x is in meters and is in mT, will be
Therefore, the total force on a 2.0-m segment of the conductor that lies between and will be