Two capacitors, C 1 = 20 µF and C 2 =5.0 µF, are connected inparallel and charge

Question

Two capacitors, C1 = 20 µF and C2 =5.0 µF, are connected inparallel and charged with a 130 Vpower supply. (a) Calculate the total energy stored in twocapacitors.
1 J
(b) What potential difference would be required across the same twocapacitors connected in series in order that the combination storethe same energy as in (a)?
2 V (a) Calculate the total energy stored in twocapacitors.
1 J
(b) What potential difference would be required across the same twocapacitors connected in series in order that the combination storethe same energy as in (a)?
2 V

Explanation / Answer

a) Ceq = C1+C2 = 20F + 5.0F =25.0F Energy E = (1/2)Ceq V2 =(1/2)*25.0F*(130V)2 = 0.211J b) in series, Ceq = C1*C2/(C1+C2) = 20*5.0/(20+5.0) =4.0F let E = 0.211J = (1/2)Ceq V2 =>V = (2*0.211J/4.0F) = 324.81V

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