A particular closed surface has four sides. The electric flux is (+800 mathrm{Nm}^{2} / mathrm{C}) through side
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A particular closed surface has four sides. The electric flux is \(+800 \mathrm{Nm}^{2} / \mathrm{C}\) through side \(1,+300 \mathrm{Nm}^{2} / \mathrm{C}\) through side 2, and \(-1200 \mathrm{Nm}^{2} / \mathrm{C}\) through side 3.
(a) If no surplus charge is enclosed by the surface, what is the flux through side 4 ?
(b) If the flux through side 4 is \(-400 \mathrm{Nm}^{2} / \mathrm{C}\), how much surplus charge is enclosed by the surface?
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