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Question: A capacitor of capacitance C is charged to a potential difference V from a cell and then disconnecte...

A capacitor of capacitance C is charged to a potential difference V from a cell and then disconnected from it. A charge +Q is now given to its positive plate. The potential difference across the capacitor is now

A

V

B

C

D

if V < CV

Answer

Explanation

Solution

In the figure given below, left X and Y be positive and negative plates. After charging from the cell, the inner faces of X and Y have charges (qCV)( q - C V ) for Y, as shown in (2). Now, the outer faces must have equal charges.

Q+CVq=qCV\mathrm { Q } + \mathrm { CV } - \mathrm { q } = \mathrm { q } - \mathrm { CV }

or 2q=2CV+Q2 q = 2 C V + Q

or

Potential difference