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"The Outward Electric Flux Due to Charge +Q is Independent of the Shape and Size of the Surface Which Encloses Is." - Physics

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Question

"The outward electric flux due to charge +Q is independent of the shape and size of the surface which encloses is." Give two reasons to justify this statement.

Solution

The outward electric flux due to the charge enclosed inside a surface is the number of electric field lines coming out of the surface.
The outward electric flux due to charge +Q is independent of the shape and size of the surface, which encloses it because of the following reasons:
(i) Number of electric field lines coming out from a closed surface enclosing the charge depends on the charge enclosed by the surface, which remains constant with shape and size of the conductor.
(ii) Number of electric field lines coming out from a closed surface enclosing the charge is independent of the position of the charge inside the closed surface.

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