A conductor carrying a current I = 14.9 A is directed along the positive x axis

Question

A conductor carrying a current I = 14.9 A is directed along the positive x axis and perpendicular to a uniform magnetic field. A magnetic force per unit length of 0.119 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. (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

Here ,

a)

the current in the wire , I = 14.9 A

magnetic field , F = - 0.119 j N

let the magnetic field is B

F = B*I*L

0.119 = B * 14.9 * 1

B = 7.99 *10^-3 T

the magnetic field at the location is 7.99 *10^-3 T

b)

as Fm = iL X B

as current is in positive x -axis

magnetic force is in negaive y - direction

the magnetic field is +z - direction

the magnetic field is in +z - direction

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