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Gauss Theorem || Gauss Law Physics || All Application Derivation || Class 12 CG CBSE ICSE board

#31DERIVATION OF GAUSS LAW ⏩What is Gauss Law? According to the Gauss law, the total flux linked with a closed surface is 1/ε0 times the charge enclosed by the closed surface. For example, a point charge q is placed inside a cube of edge ‘a’. Now as per Gauss law, the flux through each face of the cube is q/6ε0. ⏩ The electric field is the basic concept to know about electricity. Generally, the electric field of the surface is calculated by applying Coulomb’s law, but to calculate the electric field distribution in a closed surface, we need to understand the concept of Gauss law. It explains the electric charge enclosed in a closed or the electric charge present in the enclosed closed surface. ⏩ Gauss Law Formula As per the Gauss theorem, the total charge enclosed in a closed surface is proportional to the total flux enclosed by the surface. Therefore, if ϕ is total flux and ϵ0 is electric constant, the total electric charge Q enclosed by the surface is; Q = ϕ ϵ0 The Gauss law formula is expressed by; ϕ = Q/ϵ0 Where, Q = total charge within the given surface, ε0 = the electric constant. ⏩ The Gauss Theorem The net flux through a closed surface is directly proportional to the net charge in the volume enclosed by the closed surface. Φ = → E.d → A = qnet/ε0 ⏩ In simple words, the Gauss theorem relates the ‘flow’ of electric field lines (flux) to the charges within the enclosed surface. If there are no charges enclosed by a surface, then the net electric flux remains zero. This means that the number of electric field lines entering the surface is equal to the field lines leaving the surface. The Gauss theorem statement also gives an important corollary: ⏩ The electric flux from any closed surface is only due to the sources (positive charges) and sinks (negative charges) of electric fields enclosed by the surface. Any charges outside the surface do not contribute to the electric flux. Also, only electric charges can act as sources or sinks of electric fields. Changing magnetic fields, for example, cannot act as sources or sinks of electric fields. The net flux for the surface on the left is non-zero as it encloses a net charge. The net flux for the surface on the right is zero since it does not enclose any charge. ⏩ Note: The Gauss law is only a restatement of the Coulombs law. If you apply the Gauss theorem to a point charge enclosed by a sphere, you will get back Coulomb’s law easily. gauss law, gauss law derivation, gauss's law, gauss law in electrostatics, gauss,gauss theorem, derivation of gauss law, gauss law proof, applications of gauss law, gauss law and its applications, gauss' law, gauss theorem derivation, gausss law derivation, gauss's law derivation, derivation of gausss law, gauss theorem derivation in hindi, gauss law derivation in english, derivation of gauss's law, gauss law derivation physics wallah, gausss law, gauss law cbse gauss law, gauss law explained, gauss law and electric flux, gauss law and electric field, gauss law and flux, gauss law basics, gauss law class 12 physics, gauss law derivation, gauss law differential form, gauss law definition, gauss law due to point charge, gauss law electric flux, gauss law electric field, gauss law electrostatics, gauss law for electric field, gauss law for spherical surface, gauss law hindi, gauss law in electrostatics, gauss law integral form, gauss law jee, gauss law jee mains, gauss law jee advanced, gauss law kya hai electric charges and fields, electric charges and fields class 12, class 12 electric charges and fields, physics electric charges and fields class 12, electric charges and fields class 12 ncert chapter 1, class 12 physics electric charges and fields, class 12 physics chapter 1 electric charges and fields, electric charges and fields ncert, Gauss Theorem and Applications Gauss Theorem and Applications class 12, Gauss Theorem and Applications class 12 physics, torque on a dipole in uniform electric field, Gauss Theorem class 12 physics class 12 physics, cbse class 12 physics, class 12 physics 2023,