Electric flux through a square.

A flat square surface with sides of length \(L\) is described by the equations \[ x=L, \quad 0\leq y \leq L, \quad 0\leq z \leq L. \] Find the electric flux in \(\mbox{V}\cdot \mbox{m}\) through the square due to a positive point charge \(q=1~\mbox{nC}\) located at the origin \((0,0,0)\).

Details and assumptions

\[\epsilon_{0}=8.85 \times 10^{-12}~\mbox{F/m}\]

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