Question

A capacitor has a capacitance of $C$ when a potential difference of $V$ is across it.
The potential difference is increased to $2V$, what is the new capacitance?

• A. $C$
• B. $2C$
• C. $3C$
• D. $5C$

Answer 1

The correct option is A $C$

We have capacitance , $C=Q/V$ ,

where $Q=$ charge on capacitor ,

$V=$ potential difference across the plates ,

when the potential difference V is increased , charge on capacitors also increases such that the ratio $Q/V$ , remains constant i.e. capacitance remains constant . Because capacitance depends upon plate area , medium between plates and distance between plates .Therefore when potential difference is increased to 2V , capacitance will be C.