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Four closed surfaces and corresponding charge distributions are shown below.
Let the respective electric fluxes through the surfaces be $$\phi_1$$, $$\phi_2$$, $$\phi_3$$ and $$\phi_4$$. Then:
Electric flux through a closed surface is given by Gauss' law as $$\phi=\frac{\Sigma\ q_{enclosed}}{\in_0}$$
Since for all the given surfaces, the charge enclosed is equal, therefore the electric flux through all the four surfaces is the same.
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