Two capacitors, C1 =18.0 µF and C2 = 36.0 µF, are connected in series, and a 12.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. (b) Find the energy stored in each individual capacitor. Show that the sum of these two energies is the same as the energy found in part (a). Will this equality always be true, or does it depend on thenumber of capacitors and their capacitances? (c) If the same capacitors were connected in parallel, what potential differencewould be required across them so that the combination stores the same energy as in part (a)? Which capacitor storesmore energy in this situation, C1 or C2?

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter16: Electrical Energy And Capacitance
Section: Chapter Questions
Problem 50P: Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are connected in series, and a 12.0-V battery is...
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Two capacitors, C1 =18.0 µF and C2 = 36.0 µF, are connected in series, and a 12.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. (b) Find the energy stored in each individual capacitor. Show that the sum of these two energies is the same as the energy found in part (a). Will this equality always be true, or does it depend on the
number of capacitors and their capacitances? (c) If the same capacitors were connected in parallel, what potential difference
would be required across them so that the combination stores the same energy as in part (a)? Which capacitor stores
more energy in this situation, C1 or C2?

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