Question

What is the net electric flux through a closed surface that encloses the following four charges:

q₁ = −2.50 µC,

q₂ = +5.60 µC,

q₃ = −28.2 µC,

and

q₄ = +45.0 µC?

Answer 1

According to Gauss's law, the flux through any closed surface is given by

Where  is the total change enclosed within the surface.

is the permittivity in free space.

Here four charges are enclosed within the suface and these charges are,

Total charge enclosed is ,

So total flux ,

So net electric flux through the closed surface is Nm^2/C.