Write down Gauss's theorem as he wrote it:
∫(dxdP+dydQ+dzdR)dω=∫(Pcosα+Qcosβ+Rcosγ)ds
However, another formula is famous in the field of electromagnetism:
∮EdS=ϵ0Qnet.
Obtain inverse square law. For the electric field from a point charge, we have
∮EdS=∫EdScos0°, ∮EdS=E∫dS=E(4πR2), with Gauss's theorem we have
∮EdS=ϵ0Qnet, E(4πR2)=ϵ0Qnet, E=4πϵ01R2Q.
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