Gauss Law

Electric Flux

  • The number of electric lines of force, crossing through a given area.
  • It is represented by Φ

Gauss Law

Total flux of the electric field  E over  any closed surface is equal to 1/ε0 times the net charge enclosed by the surface.

 

Applications of Gauss Law

  1. Filed due to an infinite long straight charged wire
  2. Electric field due to an infinite charged plane sheet
  3. Electric field due to two parallel charged plates
  4.  Electric field due to uniformly charged spherical shell

Field due to an infinite long straight charged wire

E = Electric field

ds = surface area element on the Gaussian surface

r = radius of the cylinder

l  = length of straight charged wire

 (charge per unit length)