Concept:When charged capacitors are isolated and reconnected, their charges remain unchanged. The total energy depends only on total charge and capacitance, so it stays constant.
Explanation:Let each capacitor have capacitance
C.
Initially in parallel, each capacitor has potential difference
V, so charge on each is
q=CV.
Total initial energy is
Uinitial​=n×21​CV2=21​nCV2.After separation, each capacitor retains its charge
CV.
When joined in series, the potential difference across each capacitor is still
V.
Therefore, the total potential difference becomes
Vtotal​=nV.The equivalent capacitance of the series combination is
nC​.
So final energy is
Ufinal​=21​⋅nC​⋅(nV)2=21​nCV2.Hence,
Ufinal​=Uinitial​, so total energy does not change.
Answer:The potential difference becomes
nV and the total energy remains the same.
Thus, the correct option is C.