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Five charges $$+q, +5q, -2q, +3q$$ and $$-4q$$ are situated as shown in the figure.
The electric flux due to this configuration through the surface $$S$$ is :
Inside surface SSS enclosed charges are:
$$+5q,\quad+q,\quad-2q$$
Charges +3q and −4q are outside, so contribute zero net flux through closed surface.
Net enclosed charge:
$$Q_{enc}=5q+q-2q=4q$$By Gauss law,
$$\Phi=\frac{Q_{enc}}{\epsilon_0}$$So,
$$\frac{4q}{\epsilon_0}$$
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