The capacitor shown has a plate area A and a distance between the plates d. A ba

Question

The capacitor shown has a plate area A and a distance between the plates d. A battery with voltage Vo is connected across the plates of the capacitor. There is nothing between the plates of the capacitor. State whether the magnitude of the charge on the upper plate increases, decreases, or stays the same: when you increase d, when you increase A, when you increase Vo, and when you reverse the polarity of the battery. What plate separation is required for a parallel plate capacitor to have a capacitance of 5.0F if the plate area is 0.40m2?

Explanation / Answer

C = o A / d But C = Q / Vo So that we can write Q = o A Vo / d When you increase Vo , Q increases When A increases , Q increases. If C = 5.0F, A = 0.40m^2,Then d = o A / C    = 8.85 x 10-12 * 0.40 / 5.0 x 10-6    = 0.708 x 10-6 m

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