Question

13. A current carrying wire sits inside a magnetic field. The 5 meter wire carries a conventional current of 3 amps along the +z-direction (toward the sky) and experiences a force of 10 newtons along the y-direction (toward the South). What are the x-,y-, and z-components of the magnetic field? Use a diagram to show your answer.

Answer 1

given
length of the wire, L = 5 m
currentthrough the wire, I = 3 A
Force acting on the wire, F = 10 N

Let B is the strength of the magnetic field.

we know, force acting on acurrent carrying wire placed ij unifrom magnetic field, F = B*I*L*sin(theta)

F = B*I*L*sin(90)

B = F/(I*L)

= 10/(3*5)

= 0.667 T

direction of B: towards West

so, Bx = 0.667 T
By = 0
Bz = 0

using right hand rule we can find B.

take yiur right hand fingers in the direction of I and curl towards B, then your thumb indictaes the diriection of magnetic force.

in this case the direction of magnetic field must be towatrds West.