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ELECTROSTATICS:GAUSS LAW, How to choose an appropriate Gaussian Surface…
ELECTROSTATICS:GAUSS LAW
Gauss law states that .
the total flux linked with a closed surface is 1/ε0 times the charge enclosed by the closed surface.
FORMULA OF GAUSS LAW:
Q = ϕ ϵ0,
The gauss law is expressed by ϕ = Q/ϵ0,
where Q=the total charge within the given surface
ε0 = the electric constant.
THE GAUSS THEOREM
The net flux through a closed surface is directly proportional to the net charge in the volume enclosed by the closed surface.
Φ = → E.d → A = qnet/ε0
Gauss theorem relates the flow of electric flux to the charges within the enclosed surface. If there are no charges enclosed by a surface, then the net electric flux remains zero.
If you are looking at the image above,you will find that:
The net flux for the surface on the left is non-zero as it encloses a net charge.
The net flux for the surface on the right is zero since it does not enclose any charge.
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How is electric flux related to Gauss Law
To establish the relation,we know that:
ΦE = Q/εo
while electric flux,
ΦE = ∫∫ E . dA
Notably, flux is considered as an integral of the electric field. This relation or form of Gauss’s law is known as the integral form.
