Question

There are n identical capacitors, which are connected in parallel to a potential difference $V$. These capacitors are then reconnected, in series. The potential difference between the extreme ends is:

• A. zero
• B. $nV$
  
• C. $(n-1)V$
  
• D. none of the above

Answer 1

The correct option is D none of the above

For $n$ identical capacitors in parallel, equivalent capacitance is $C_p=nC$

when connected in series, the equivalent capacitance is $C_s=\frac{C}{n}$

By principle of charge conservation, the total charge $Q$ is conserved

$Q_{parallel}=Q_{series}$

$\therefore C_{p}V=C_{s}v$

$\therefore nCV=\frac{C}{n}v$

$\therefore v=n^{2}V$

The answer is option $D)Noneoftheabove$