In this Physics video in Hindi for class 12 we explained one application of Gauss' theorem. We derived electric field due to uniformly charged infinite plane sheet. We can easily derive the formula for electric field with gauss' theorem.
Gauss' theorem states that the total electric flux through a closed surface is equal to 1/ ɛ₀ times the magnitude of the charge enclosed.
In this derivation we considered a cuboidal Gaussian surface crossing the sheet normally. The electric flux produced is the charge contained inside the Gaussian surface divided by the absolute permittivity of the medium. The charge contained by the Gaussian surface is two times the product of the area of the cross section and surface charge density in that sheet.
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