A conductor carrying a current I = 13.7 A is directed along the positive x axis

Question

A conductor carrying a current I = 13.7 A is directed along the positive x axis and perpendicular to a uniform magnetic field. A magnetic force per unit length of 0.111 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.
1 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

magnetic force = BIL ( when B is perpendicular to length vector OR current)

magnetic force per unit length = BI

0.111 = B*13.7

=> B = 0.0081 T

b)

LxB is direction of force

ixB = -j

=> B is in k direction or +z direction

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