A capacitor consists of a set of 2 parallet plates of area Aseparated by a dista

Question

A capacitor consists of a set of 2 parallet plates of area Aseparated by a distance d. This capacitor is connected to a batteryand charged until its plates carry charges +Q and -Q. If theseparation between the plates is doubled, the potential differencebetweeen the plates will.. A) be cut in half B) not change C) quadruple D) double E) be cut in fourth Why? A capacitor consists of a set of 2 parallet plates of area Aseparated by a distance d. This capacitor is connected to a batteryand charged until its plates carry charges +Q and -Q. If theseparation between the plates is doubled, the potential differencebetweeen the plates will.. A) be cut in half B) not change C) quadruple D) double E) be cut in fourth Why?

Explanation / Answer

If the separation between the plates is doubled thecapacitance of the capacitor is decreases to half Since cpacitance C = A / d                             C 1 / d also we know C = Q / V from this potential difference between the plates V = Q/ C                                                                          V 1 / C     Since   charge Qis constant Capacitance is dereases to half ,So, potential is double

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