Question

Gauss theorem says that flux crossing through closed surface is equals to q/epsilon , so is it actual in real life ? Can you give me a proof except case of Sphere

Answer 1

Answer:

Of course it does apply in real life. The Gauss theorem simply states that the flux through an imaginary closed surface is Q/epsilon.

Let's take an example... You're sitting in front of your table and you just spread some 20 particles on it. Let's assume each particle carries a charge of 1C. You then draw a closed loop on your table enclosing 12 of those particles. See now you'll imagine this loop as a surface. Now how much charge is enclosed by this imaginary surface? 12 Coulombs it is. So now the flux through your surface is 12/epsilon. In this equation, epsilon is permittivity which is a medium dependent quantity. Let's say you did this whole thing in vacuum then the flux to be exact would be

$\frac{12}{8.85 \times {10}^{ - 12} } = \frac{12}{8.85} \times {10}^{12}$Cm/F as permittivity of vacuum is

$8.85 \times {10}^{ - 12}$ F/m.

Hope this helped you. Like and make it the brainliest if it did.