Nootan Kumar Mittal Class 12th ISC Physics chapter 2nd{GAUSS THEOREM ( part 1)}

                Chapter=2

            Gauss' Theorem

*Electric Flux 

The number of electric field lines passing perpendicular to the plane surface is called Electric Flux.

*. Gauss' Theorem                          

     The net electric flux through a       closed  surface (3-D) is                1/ε_{0  times the net charge enclosed by the surface.}

*Gauss' law is always applicable but not always useful.

1). The gaussion surface should be symmetric about 1 charge distribution.

2). The electric field must be symmetric(equal\constant\same) at all point of Gaussian surface.

3). The θ(Angle between and E &A) must be same at all point of the surface.

4). Gaussion surface must not pass through any point charge.

*. Application of Gauss law 

(1). Electric field due to a point charge: introduction of Coulomb Law from Gauss'Theorem.

(2). Electric field due to a infinite line of charge.

(3). Electric field due to an infinity plane sheet of charge.

(4). Electric field due to Two infinite parallel Sheets of charge

*. Electric field due to a solid non conductor/directory sphere (R)=charge spread in whole volume.

1) Outside (r>R)

2) Outside(r<R)

*. Electric field due to solid non conductor/dielectric square (R)=charge spreads in whole value.

1) Outside (r>R)

2) Inside (r<R)

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Numerical 
Class 12th ISC PHYSICS chapter 2nd {Gauss'Theorem(NUMARICALS)Part 2nd }