# How shall we compute the flux in this case?

I have a finite surface charge (in yellow) which cuts a Gaussian surface (in green).

Red points are the points of singularity on the Gaussian surface (i.e. where $$\vec{E}$$ is undefined).

Does this singularity (at red points) refrain us from computing flux over the Gaussian surface? Or is there a way to compute the flux? Any help appreciated.

No, not really. The surface has an area of $$0$$ thus charge $$0$$, and mathematican's way is to introduce the convention $$0\cdot \infty$$.
• If $\vec{E}$ is constant, then OK. But what if $\vec{E}$ is varying? – N.G.Tyson Nov 5 '18 at 16:13