Two capacitors, C1 = 19.0 µF and C2 = 40.0 µF, are connected in series, and a 24.0-V battery is connected across the two capacitors.Find the equivalent capacitance, energy stored in this equivalent capacitance, energy stored in each individual capacitor.Show that the sum of these two energies is the same as the energy found stored in equivalent capacitance. Will this equality always be true, or does it depend on the number of capacitors and their capacitances?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 the equivalent capacitance? Which capacitor stores more energy (or are they the same) in this situation, C1or C2?

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Answered: Two capacitors, C1 = 19.0 µF and C2 =…

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Capacitance And Dielectrics

Section: Chapter Questions

Problem 18P: 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 = 19.0 µF and C₂ = 40.0 µF, are connected in series, and a 24.0-V battery is connected across the two capacitors.

Find the equivalent capacitance, energy stored in this equivalent capacitance, energy stored in each individual capacitor.
Show that the sum of these two energies is the same as the energy found stored in equivalent capacitance. Will this equality always be true, or does it depend on the number of capacitors and their capacitances?
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 the equivalent capacitance? Which capacitor stores more energy (or are they the same) in this situation, C₁or C₂?

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