A conductor carrying a current I = 15.8 A is directed along the positive x axis

Question

A conductor carrying a current I = 15.8 A is directed along the positive x axis and perpendicular to a uniform magnetic field. A magnetic force per unit length of 0.126 N/m acts on the conductor in the negative y direction.

(a) Determine the magnitude of the magnetic field in the region through which the current passes.
_________ T

(b) Determine the direction of the magnetic field in the region through which the current passes.

+x direction, x direction, +y direction, y direction, +z direction, z direction

Explanation / Answer

The magnitude of the magnetic field in the region through which the current passes is

F =BIL

Now Force per unit length is F/L =I*B

0.126N/m =15.8*B

Then B =7.97*10-3T

From the flemings left and rule , the direction of the magnetic field in the region through which the current passes is vertically upwards i.e., is in +z direction

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