Gauss’s Law Proof | Prove Gauss’s Law

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Gauss’s Law-


Before you go through this article, make sure that you have gone through the previous article on Gauss’s Law.


We have learnt-

  • Gauss’s Law helps to find the total electric flux through any closed surface.
  • It states that the total electric flux through any closed surface is 1/εo times the net charge enclosed within it.


In this article, we will discuss the proof of Gauss’s law.


Gauss’s Law Proof-


Consider an isolated point charge +Q placed at a point O. We draw a spherical Gaussian surface of radius R with O as the center and calculate the electric flux from it.



The electric field intensity due to charge +Q at every point on the Gaussian surface is given by-



Also Read- Electric Field Due To A Point Charge


The electric flux over the entire closed Gaussian surface is given by-



This proves Gauss’s law in electrostatics.


Read the next article on-

Deducing Coulomb’s Law From Gauss’s Law


Get more notes & other study material of the Chapter Electric Charges & Field.

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