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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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