# Charged Pole

Electricity and Magnetism Level 5

A solid pole of radius $$0.1 m$$ and height $$3.0 m$$ has charge density $\rho = 100{e}^{-z} {\left({x}^{2}+{y}^{2} \right)}^{\frac{-1}{4}} \frac{C}{{m}^{3}}.$ What is the enclosed charge of the pole in Coulombs?

The base of the pole is set at zero.

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