Gauss’s Law

The generalization stated in the previous post lead to the following statement also known as gauss’s Law.
“The electric Flux passing through any closed surface is equal to the total charge enclosed by that surface.”
Gauss one of my second Favourites(first being Fourier without doubt) and one of the greatest mathematician of all time. Though he gave the statement but what is fascinating is his mathematical form of the above statement.

Stay Tuned for Complete Derivation of Gauss’s LAw. Coming Soon.

Electric Flux and Electric Flux Density

Faradays experiments showed:

Direct proportionaluty between electric flux and charge on the inner sphere. And fortunately for us the constant of proportionality depended on the units used. And thanks to our standard engineers friendly SI units we got that proportionality constant equal to 1. Giving us a simple uncomplicated equation:

Electric Field Intensity

Consider a fixed charge Q1. Let us move a second charge say test charge Qt around the Q1. We observe that the test charge Qt experiences force everywhere around Q1. It is experiencing a force field. Force on it will be given by coulombs law as: