(adsbygoogle = window.adsbygoogle || []).push({}); Electric field due to a cylindrical charge distribution using Gauss' law.

Charge is distributed with density [tex]\rho_{0}e^{-r^{2}}[/tex] C/m^3 in cylindrical region r < 1. Find D (displacement flux density vector) everywhere.

I did used this equation

[tex]\int_{s}D\cdot\,dS=\int_{V}\rho\*d\upsilon[/tex]

Since this is a cylindrical charge distribiution I used Gaussian surface in the shape of a cylinder.

[tex]\int_{s}D\cdot\,dS=\rho\*l[/tex]

So if I understand good the D=0 inside cylinder. therefore r>R is valid.

The surface area is [tex]2\pi\*rL[/tex].

I'm having a problem to set up the the equation or I'm doing everything wrong?

Thanks for any help and recommendation.

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