Q. 44.0( 3 Votes )

If the flux of the electric field through a closed surface is zero.
A. the electric field must be zero everywhere on the surface.

B. the electric field may be zero everywhere on the surface.

C. the charge inside the surface must be zero.

D. the charge in the vicinity of the surface must be zero.

Answer :

Gauss’ law states that electric flux through an enclosed surface is equal to 1/ϵ0 times the charge enclosed by the surface.

,


where,


𝚽 = electric flux,


ds = area element,


q = charge enclosed,


E = electric field,


ϵo = electric permittivity of vacuum


Now, this law does not include the flux which is located on the surface. So it may or may not be zero, even though the flux through the surface is zero(option b).


Since the flux through the surface is zero, by Gauss’ law, the charge inside the surface must be zero(option c).

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