Question

State gauss theorem using gauss theorem determine the electric field intensity due to an infinite plane sheet?​

Answer 1

Gauss Theorem. It states that the net electric flux thorough a closed surface is 1/E° times the net charge enclosed inside it, given by

∅ = q/E°

Let us assume an infinite charged thin sheet with uniform surface charge density, k, and area A, then its charge is q = kA.

By applying gauss Theorem,

∅ = int.{E.dS} = q/E°

=>. int.{E.dS} = q/E°

since electric field is emerging from both sides the flux will be two times, thus

2 x E.Acos0° = kA/E°

E = k/(2E°)

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