Zero Total Charge: How is this Possible?

AI Thread Summary
The discussion centers on the apparent contradiction of having a non-zero electric field, electric flux density, and volumic charge density while integrating the volumic charge density over a region results in zero net charge. Participants explore the implications of Gauss's law and the conditions under which electric fields can exist without a net charge. The conversation highlights the importance of understanding charge distribution and the role of boundary conditions in electromagnetic theory. Clarifications are sought regarding the assumptions made in the problem setup. The conclusion emphasizes the need for a deeper analysis of the physical scenario to resolve the apparent paradox.
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For a certain problem I have non-zero electrical field E, non-zero electric flux density D, and non-zero volumic charge density ρV.

When I integrate pV dV over the given region, I get 0.

How is this possible?
 
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Why do you think it's not possible to have zero net charge in such a region?
 
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