If the net flux through a closed surface is zero, then there can be no charge or charges within that surface.

Name: If the net flux through a closed surface is zero, then there can be no charge or charges within that surface.
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Quizplus · Accepted Answer

The net flux through a closed surface being zero indicates that the total charge inside the surface is zero, but there can still be positive and negative charges present that cancel each other out.

If the Net Flux Through a Closed Surface Is Zero