Explanation OF Electric Flux

Electric Flux

An electric charge specified as an only electron in space.It has an electric field surrounding it. In pictorial pattern, this electric field is shown as a dot, the direction indicating the lines of density. These are called Guass lines. Electric Flux Density is the amount of flux, the number of "lines," passing in a specific direction.

SI Unit

Electrical flux has SI units of volt meters (V/m), or, equivalently, newton meters squared per coulomb (N m2 C−1). Thus, the SI base units of electric flux are kg·m3·s−3·A−1.
Its dimensional formula is [L3MT−3I−1].

Explanation

Its Units are Gauss/square meter. If the electric field is uniform, the electric flux passing through a surface of vector area S is

Here S is the electric field, E is its magnitude, S is the area of surface and θ is the angle between electric field lines.
If the electric field is non-uniform then the electric flux dΦE by area is given as

The electric flux over a surface S is given below

                                                                                           
Here E is the electric field and dS is a diffference area on the surface S.

According to Guass Surface

According to Guass Surface electric flux is given below
Here
E is the electric field,
S is any closed surface,
Q is the total electric charge inside the surface S,
ε0 is the electric constant

The equation is also known as the Guass Law for electric field.


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