Question 4.16: The potential in a region from 0 ≤ x ≤ 2 and 0 ≤ y ≤ 2 is de...

Fundamentals of Electromagnetics with MATLAB

The potential in a region from $0 \leqslant x \leqslant 2$ and $0 \leqslant y \leqslant 2$ is described with the expression $V(x, y) = V_{0} exp[-(x^{2} +y^{2})]$ .Calculate and plot the volume charge density $ρ_{ν}(x, y)$ that would be calculated from Poisson’s equation assuming that $ε_{0} = 1$ .

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