Is there a way to show:

$(1)\ \displaystyle \phi=\int_{S'} \dfrac{\sigma}{r} dS'$ is continuous all over space

$(2)\ \mathbf{E}=\displaystyle\int_{S'} \dfrac{\sigma}{r^2}\ \hat{\mathbf{r}}\ dS'$ is continuous everywhere except at boundary $S'$

where $\sigma$ is the surface charge density

  • $\begingroup$ Why is this site so inactive? I am only getting question likes but no answers. $\endgroup$ – Alfred Apr 15 at 8:19

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