How Does a Static Magnetic Field Behave in a Homogeneous Medium?

[ATOMICJOCK]

A static magnetic field in a homogeneous, linear, medium with permeability μ₀ is given in cartesian coordinates by:

B(x, y, z) = B₀ tanh (x/L) z where L is a constant.

a) Sketch Bz as a function of x/L.
b) What current density, j(x,y,z) produced this magnetic field?
c) Sketch any non-zero components of j as a function of x/L.



I'm not sure how to even start this question, let alone completing it. Could you please provide a detailed (Step by step) solution, which would help me learn?


Thanks

 

[ideasrule]

No, we can't give you step-by-step solutions, especially not since you haven't posted any relevant equations or any attempt at a solution.

What does B0 tanh (x/L) z mean? Is the z supposed to be a z unit vector? Do you know what the tanh function looks like? (If not, see http://en.wikipedia.org/wiki/File:Sinh_cosh_tanh.svg).