Find the electric field at any point (not on the charge) due to a line charge with charge density
\[
\begin{array}{cc}
p-\{\mathrm{b} z \delta(\mathrm{x}) \delta(\mathrm{y}) & z \in(-\mathrm{a}, \mathrm{a}) \\
0 & \text { elsewhere }\}
\end{array}
\]
lying along the \( z \) axis between \( a \) and \( -a \).