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If one were to consider a parallel plate capacitor with a distance d between them connected to a battery and a vacuum space between the plates. Will the integral form of Gauss' Law to any closed surface between the plates that does not cross either plate hold? If not, what in Gauss' Law would prevent this from working?

2. Relevant equations

Gauss' Law

3. The attempt at a solution

I know that Gauss' law works in cases where there is high degree of symmetry.

I also know that the integral form describes an integration of fields. However, after a function is integrated, a lot of information is lost. A non-zero charge density cannot, under any circumstances, give rise to a an electric field that vanishes everywhere.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Integral form of Gauss' Law, Parallel Plate Capacitor

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