Question

- When N identical capacitors are connected in series across a battery, the energy stored is U. If the same capacitors were connected in parallel across the same battery, then how much energy would be stored?

Select U/N as your answer	U/N
Select U as your answer	U
Select NU as your answer	NU
Select N^2 U as your answer	N^2 U

Answer 1

The total capacitance of N identical capacitors in series is

The energy stored in the combination is

Now, the total capacitance of N identical capacitors in parallel is

The energy stored in this combination is

Putting the value of V from the series equation

So, the correct option is

D) N^2U