What Potential Difference Is Needed for Series Capacitors to Store Same Energy?

[nate559]

Two capacitors, C1 = 20 µF and C2 = 5.0 µF, are connected in parallel and charged with a 150 V power supply

A.) Energy Stored I found to be is 2.81*10^-1 J

B.)What potential difference would be required across the same two capacitors connected in series in order that the combination store the same energy as in (a)?

Delta V= sqrt of (2*Energy stored/C) This eqn can b used to solve for delta V

I have no idea what I am doing wrong! I have used the capacitor in parallel combo of C= C1+C2... Then I have converted the microFaraday charges of these sums to Faraday but no success

Any Suggestions??

 

[Kurdt]

You know that the effective capacitance of capacitors in series is given by:

$$\frac{1}{C}=\frac{1}{C_1} + \frac{1}{C_2}...$$

You also know that the energy stored is given by:

$$E=\frac{1}{2}CV^2$$

So you have rearranged perfectly well but the problem could just be that you are using the parallel combination rather than the series combination to find the effective capacitance.