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Homework Statement
Why does this expression, given in cylindrical coordinates, rapresent an electrostatic field:
$${\bf E(r)}=\frac{\alpha}{z^2}{\bf u_r}-2 \frac{\alpha r}{z^3}{\bf u_z} $$
Homework Equations
The Attempt at a Solution
I can't understand why the expression rapresent an electrostatic field.
An electrostatic field is characterized by the fact that it depends only by r, isn't it?
I have tried to transform this expression in cartesian coordinates, but with no result (this is the firt time that I work with cylindrical coordinates). I'm thinking that I don't know how to say if a field is electrostatic or not.
Many thanks for your help.
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