A straight wire of length L carries a current I in the positive z direction in a

Question

A straight wire of length L carries a current I in the positive z direction in a region where the magnetic field is uniform and specified by Bx = 3B, By = -2B, and Bz = B, where B is a constant. What are the ??-, ??-, and ??-components of the total force on the wire? [Hint: Figure it out one component at a time. First, consider Bx acting on the wire to give you one component. Then, consider By acting on the wire to give you another component. Finally, consider Bz acting on the wire to give you the final component.]

Explanation / Answer

The Z-component of mgnetic filed does not contribute to magnetic field.

      Bnet = sqrt(Bx^2 + By^2)

             = [sqrt(13)]B

             = (3.6)B

Thus, the net force is,

   F = BnetILsin(90) = (3.6)BIL

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