A static magnetic field in a homogeneous, linear, medium with permeability μ_{0} is given in cartesian coordinates by: B(x, y, z) = B_{0} 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
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).