In this Physics video lecture in Hindi we derived the expression for the electric field intensity near an infinite charged sheet. We used Gauss' theorem and derived that the magnitude of the electric field is the ratio of the surface charge density to the absolute permittivity of the medium in which the point, at which we are evaluating the electric field, is situated. This topic is one of the best examples of the application of Gauss' Theorem. The expression derived in this topic is used while calculating the electric field inside a parallel plate capacitor.
Gauss' theorem states that the total electric flux through a closed surface is equal to q / ɛ0 times the magnitude of the charge enclosed.
Mathematically, dФ = q/ε0
In other words,
Gauss' theorem states that the surface integral of the electric field over the closed surface is equal to 1/ɛ0 times the charge enclosed.
Mathematically, ∮E ⃗ .ds ⃗ = q/ε_0
ELECTRIC FLUX : The electric flux through a surface represents the total number of electric field lines crossing the surface in the direction normal to the surface.
Electric flux is a scalar quantity and is denoted by Ф.
Mathematically,
dФ = E ⃗ . ds ⃗
where, dФ is the electric flux associated with the area element ds ⃗ placed in an electric field E ⃗
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