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What is gauss theorem( statement )

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What is gauss theorem( statement )
  • 1 answers

Gaurav Seth 5 years, 2 months ago

 

Statement of Gauss"s Theorem : The net-outward normal electric flux through any closed surface of any shape is equal to  

1/εtimes 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.

 

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