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State and prove the Gauss law

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State and prove the Gauss law
  • 1 answers

Gaurav Seth 4 years, 9 months ago

<article data-post-id="80442" data-topic-id="65732" data-user-id="10501" id="post_3">

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.

 

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