Question

Just need part b and c.

A long cylindrical wire of radius 4 cm has a current of .8 amps flowing through it.

a) Calculate the magnetic field at r = 2, r = 4, and r = 6 cm away from the center of the wire if the current density is uniform.

b) Calculate the same things if the current density is non-uniform and equal to J = kr² (not entirely sure on this one but i believe k might be coulombs constant)

c) Calculate the same things at t = 0 seconds, if the current is changing as a function of time and equal to I = .8sin(200t). Assume the wire is made of copper and current density as a function of r is uniform

Answer should be:

b) B_{at r = 2 cm} = .5 μΤ, B_{at r = 4 cm} = 4 μΤ, B_{at r = 6 cm} = 2.67 μΤ

c) B_{at r = 2 cm} = 6.02 x 10^-23Τ, B_{at r = 4 cm} = 1.20 x 10^-22Τ, B_{at r = 6 cm} = 8.02 x 10^-23Τ

Answer 1