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Introductory Physics Homework Help
Charge upon a parallel plate capacitor
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[QUOTE="Pushoam, post: 6852466, member: 619344"] [B]Homework Statement:[/B] Choose the correct options. Each plate of a parallel plate capacitor has a charge Q on it. The capacitor is now connected to a battery. Now, a) the facing surfaces of the capacitor have equal and opposite charges. b) the two plates of the capacitor have equal and opposite charges. c)the battery supplies equal and opposite charges to the two plates. d) the outer surface of the plates have equal charges. [B]Relevant Equations:[/B] Gauss's law: $$\oint \vec E\cdot d\vec A= \frac{ q_{en}} {\epsilon_0}$$ a) if I take a Gaussian cylindrical surface whose circular area are present in the meat of the two plates of the capacitor, then the electric flux through this Gaussian surface is zero ( as the electric field inside the meatof the capacitor is zero and between the capacitors, electric field is perpendicular to the cylindrical surface). So, charge enclosed by the Gaussian surface is zero.Hence the two facing surface of the capacitor have equal and opposite charges. b) each plate of the conductor is equipotential. Hence the surface charge density on the inner surface is equal to that on the outer surface. Hence the two plates of the capacitor have equal and opposite charges. c) to hold b) true the battery has to provide unqual and opposite charges to the two plates. d) the outer surface charges of the plates have to be opposite. [/QUOTE]
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Charge upon a parallel plate capacitor
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