Five charges +q, +5q, -2q, +3q and -4q are situated as shown in the figure [the closed surface S encloses +5q, +q and -2q, while -4q lies outside S on the left and +3q outside S on the right]. The electric flux due to this configuration through the surface S is

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(4) (4q)/(ε₀). Gauss's law counts only the charge inside the closed surface; charges outside contribute nothing to the net flux, however strong their fields on S. Enclosed charge: qᵢₙ=+5q+q-2q=4q. The -4q and +3q lie outside S and are dropped. φ=(qᵢₙ)/(ε₀)=(4q)/(ε₀).

Five charges +q, +5q, -2q, +3q and -4q are situated as shown in the figure [the closed surface S encloses +5q, +q and -2q, while -4q lies outside S on the left and +3q outside S on the right]. The electric flux due to this configuration through the surface S is

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