# A 3.96 μF capacitor and a 7.94 μF capacitor are connected in series across a 14.0 V battery. What voltage would be required to charge a parallel combination of the same two capacitors to the same total energy?

##### 1 Answer

Oct 5, 2015

#### Explanation:

The energy stored in a capacitor is:

Which can also be written in the forms:

The capacitance of the parallel case can be calculated as:

And the capacitance of the series case can be calculated as:

So we want to find a series energy

I'll leave it as an exercise for the student to plug in the numbers required for this calculation.