- #1
skrat
- 748
- 8
Homework Statement
In other words, I have an equation: ##\nabla \times \vec B =\mu _0 \vec j##, where ##\vec j = (f(x,y),g(x,y),0)##.
I need to find ##\vec B##.
Homework Equations
The Attempt at a Solution
I tried to write each component separated, but I don't see how to continue, since all components of ##\vec B## are in general functions of x,y and z.
For example first component:
##\frac{\partial }{\partial y}B_3-\frac{\partial }{\partial z}B_2=\mu_0f(x,y)## There is nothing I can do... Or maybe not?
Or the third component might be the easiest, since ##j_3=0##, than
##\frac{\partial }{\partial x}B_2=\frac{\partial }{\partial y}B_1##
:O Anything I can do?