Determining continuity using Gauss' law

[Mike400]

I know how Gauss law helps us to calculate the discontinuity at a point on the surface of a surface charge.

Similarly using Gauss law, is there a way to determine the continuity at other points of electric field due to a surface charge or the continuity at all points of electric field due to a volume charge?

 

[vanhees71]

I don't understand the question. If there's a surface charge, the normal component of the electric field jumps by that surface charge (modulo some factors depending on the system of units). If you have a non-singular volume-charge distribution there are no discontinuities.

 

[Mike400]

If you have a non-singular volume-charge distribution there are no discontinuities.

Can we prove it using Gauss law?

 

[vanhees71]

Sure, just use the "Gauss pill-box argument" to a situation where you have a non-singular charge distribution.

 

[Mike400]

Thanks a lot... Anyway I have to clear some confusions regarding that. I will post my confusions tomorrow... I am so sleepy

 

[Mike400]

If you have a non-singular volume-charge distribution there are no discontinuities.

Are there any other simple methods to prove it without using Gauss law?