ELECTRIC POTENTIAL AT A POINT DUE TO POINT CHARGE

ELECTRIC POTENTIAL AT A POINT DUE TO POINT CHARGE:-

We can derive this potential at point due to point charge by two methods one is by using gausses law and other is by general methods

By using gausses law

consider a charge. In order to calculate electric flux by gausses law we have to draw 

a Gaussian surface consider a spherical Gaussian surface as shown in fig. Charge is enclosed in it.

ELECTRIC FLUX THROUGH SURFACE ENCLOSING CHARGE

Lets consider that we have to calculate electric flux of a charge "q" placed inside a spherical body since flux is calculated for a flat body so in order to convert sphere into flat body we will devide the whole sphere into small patches with area ∆A₁, ∆A₂, ∆A₃, ∆A₄----------∆A_n. There corresponding vector areas are parallel to electric field intensity or perpendicular to the surface area as shown in the fig