ELECTROSTATICS

Electrostatics ~~ is a branch of physics that deals with study of the electric                                             charges at rest.Since classical physics, it has been known that some materials such as amber attract lightweight particles after rubbing. The Greekword for amber, ήλεκτρον, or electron, was the source of the word 'electricity'. Electrostatic phenomena arise from the forces that electric charges exert on each other. Such forces are described by Coulomb's law. Even though electrostatically induced forces seem to be rather weak, some electrostatic forces such as the one between an electron and a proton, that together make up a hydrogen atom, is about 36 orders of magnitude stronger than the gravitational force acting between them.

Coulomb's law

 

where F is the force 

q and Q are the charge

r is the distance between the two charges 

epsilon 0 is the permitivity in free space 

Electric field

Gauss' law

where ${\displaystyle \operatorname {d} ^{3}r=\mathrm {d} x\ \mathrm {d} y\ \mathrm {d} z}$ is a volume element. If the charge is distributed over a surface or along a line, replace ${\displaystyle \rho \mathrm {d} ^{3}r}$ by ${\displaystyle \sigma \mathrm {d} A}$ or ${\displaystyle \lambda \mathrm {d} \ell }$. The Divergence Theorem allows Gauss's Law to be written in differential form:

${\displaystyle {\vec {\nabla }}\cdot {\vec {E}}={\rho \over \varepsilon _{0}}.}$

where ${\displaystyle {\vec {\nabla }}\cdot }$ is the divergence operator.

HERE IS THE ELECTROSTATICS FREE HAND NOTES MADE BY ME , HOPE IT WILL HELPS YOU IN THE EXAM SO HERE IS THE IMAGES

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