Why a gussian surface can't pass through discrete charges
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The significance of Gauss law is to calculate electric field at a point. This is easily done by making a gaussian surface to pass through the point at which field is required and simultaneously enclosing the charge due to which the field is required inside the gaussian surface.
If the gaussian surface is made to pass through a discrete charge itself then the significance of gauss law is lost as at the point where the discrete charge itself is present the value of electrical field becomes undefined(inverse square law). And hence field cannot be calculated.
Secondly,to make a gaussian surface passing through a continuous charge distribution is always fine as long as the point at which field is required is not present on the intersection of the Gaussian surface and the charge distribution
The significance of Gauss law is to calculate electric field at a point. This is easily done by making a gaussian surface to pass through the point at which field is required and simultaneously enclosing the charge due to which the field is required inside the gaussian surface.
If the gaussian surface is made to pass through a discrete charge itself then the significance of gauss law is lost as at the point where the discrete charge itself is present the value of electrical field becomes undefined(inverse square law). And hence field cannot be calculated.
Secondly,to make a gaussian surface passing through a continuous charge distribution is always fine as long as the point at which field is required is not present on the intersection of the Gaussian surface and the charge distribution
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