CBSE Class 12-science Answered
State and prove Gauss theorem in electrostatics.
Asked by Topperlearning User | 24 Apr, 2015, 09:02: AM
Expert Answer
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.
Answered by | 24 Apr, 2015, 11:02: AM
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