Euler Lagrange equations are obtained using Newton's laws and D' Alembert's principle. $\newcommand{\dd}[2][]{\frac{d#1}{d#2}}\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$
The flux of electric field through a surface in defined as a surface integral and the statement of Gauss law is given.
A few examples of computing the electric field using Gauss law and symmetry of the problem are discussed.
A simple and intuitive proof of Gauss law is given following Feynman lectures. The task of proving Gauss law for arbitrary charge distribution is reduced to the problem proving the Gauss law for a single point charge by appealing to the superposition principle.
In this section the solution of a boundary value problem involving a point charge and a grounded conducting sphere is obtained using the method of images.
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