Gauss's Theorem:
The total flux normally traversing a surface completely surrounding a charge q is q coulomb.
If there are a number of charges inside the surface, the total flux is the algebric sum of the total charges.
𝜓 = 𝛴q
𝜓 = (q₁ + q₂ + q₃ + q₄ + ......... ) coulombs
All positive charges being taken together as positive and all negative charges as negative.
Thus, in the arrangement as shown in figure:
the value of the flux over the surface is given by
𝜓 = (q₁ - q₂ ) coulombs
since (q₁ - q₂ ) is the net charge inside.
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