State and prove Gauss theorem in electrostatics.
State and prove Gauss theorem in electrostatics.
Statement of Gauss"s Theorem : The net-outward normal electric flux through any closed surface of any shape is equal to
1/ε0 times the total charge contained within that surface , i.e.,
over the whole of the closed surface, q is the algebraic sum of all the charges (i.e., net charge in coulombs) enclosed by surface S.
Proof of Gauss"s Theorem :
Let a point charge +q coulomb be placed at O within the closed surface. Let E be the electric field strength at P. Let
OP= r and the permittivity of free space or vaccuum be ε0.
