Gaus's Law and Application Of Gaus's Law

Gaus's Law :

This law was put forward by the scientist carl frederich gaus's 

. This law states that the total electric flux passing through any close hypothitical surface is equal to 1/E^• times the Total charge enclosed in it .

. For to find the total electric flux an imaginary surface is taken which is known as gaussain surface. 

Mathematically : this law is expressed that 

. Consider the given figure in which "n" no.  of charges are distributed the flux passing through this surface can be calculated as. 

. The total electric flux passing through the Gaussian surface is given by. 

. Gaussian law analogies to couloumb's law because both the law are used to calculate the electric field intensity. 

Gauss's law resemble with ampere's law because the first one is used to find the electric field intensity and the second one is used to find the magnetic field intensity. 

Application Of Gaus's Law : 

. Gauss's law is used to calculated the electric field intensity due to the symmetrical distribution of charge. 

. There are three main application of gauss's law. 

1). Electric field intensity due to hollow charged sphere. 

2). Electric field intensity due to an infinite sheet of charges. 

3). Electric field intensity due to oppositely charged plates.