The amount of electricity a capacitor can store is directly proportional to

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Multiple Choice

The amount of electricity a capacitor can store is directly proportional to

Explanation:
The key idea is how capacitance depends on geometry. For a parallel-plate capacitor, capacitance increases with plate area and decreases as the gap between the plates grows (C = εr ε0 A / d). The amount of charge stored at a given voltage is Q = C V, so more plate area means more charge capacity, while a larger distance between plates reduces it. The dielectric between the plates also affects capacitance, but among the given factors, area boosts ability to store charge and distance reduces it. So the stored charge is directly proportional to plate area and inversely proportional to the distance between the plates.

The key idea is how capacitance depends on geometry. For a parallel-plate capacitor, capacitance increases with plate area and decreases as the gap between the plates grows (C = εr ε0 A / d). The amount of charge stored at a given voltage is Q = C V, so more plate area means more charge capacity, while a larger distance between plates reduces it. The dielectric between the plates also affects capacitance, but among the given factors, area boosts ability to store charge and distance reduces it. So the stored charge is directly proportional to plate area and inversely proportional to the distance between the plates.

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