The total electric flux coming out from a closed surface enclosing a stationary
unit positive charge in air is
Answers
By appling Gauss' Theorem:-
The total electric flux linked with closed surface S is
¢= f® E.dS = q/€.
Where ,q is the total charge enclosed by the closed Gaussian (imaginary) surface.
By using above theorem ,the total electric field passes through the closed shereical gaussion surface is,
f®E.dS= q/€
The electric field passes normal to the Gaussian surface (sphere) and uniform.
Therefore E.S= q/€
E= q/€S
E= q/4πr^2 €
[S = surface area of sphere ]
[S= 4πr^2. ]
E= q/4π€ r^2 .
And TOTAL ELECTIC FLUX PASSES THROUGH THE SPHERE IS,
=> ¢= q/€.
Because ,
Electric Flux:- Electric flux linked with any surface is proportional to the total number of electric field lines that normally passes through that surface. It is a Scalar quantity.