Hello,

I need some help with divergence

$\displaystyle {\bf{E}} = \frac{1}{\varepsilon }\left( {\frac{{\partial \phi }}{{\partial {z^{}}}}{\bf{i}} - \frac{{\partial \phi }}{{\partial x}}{\bf{k}}} \right)$

and

$\displaystyle \nabla = {\bf{i}}\frac{\partial }{{\partial x}} + {\bf{j}}\frac{\partial }{{\partial y}} + {\bf{k}}\frac{\partial }{{\partial z}}$

Show that

$\displaystyle \nabla \cdot {\bf{E}} = 0$

When I work with numbers, all is good but now I'm confused. Is the answer related to the fact that the i component only contains z and the k only contains x? So that these will become 0?

Thanks for any help.