Two capacitors, C₁ = 27.0 μF and C₂ = 35.0 μF, are connected in series, and a 24.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. equivalent capacitance μF total energy stored (b) Find the energy stored in each individual capacitor. energy stored in C₁ J energy stored in C₂ J 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)? V Which capacitor stores more energy in this situation, C₁ or C₂? C₁ C₂ Both C. and C. store the same amount of energy.

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 = 27.0 μF and C₂ = 35.0 μF, are connected in series, and a 24.0-V battery is connected across them.
(a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor.
equivalent capacitance
μF
J
total energy stored
(b) Find the energy stored in each individual capacitor.
energy stored in C₁
J
energy stored in C₂
J
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)?
V
Which capacitor stores more energy in this situation, C₁ or C₂?
o C₁
0 C₂
O
Both C₁ and C₂ store the same amount of energy.
Transcribed Image Text:Two capacitors, C₁ = 27.0 μF and C₂ = 35.0 μF, are connected in series, and a 24.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. equivalent capacitance μF J total energy stored (b) Find the energy stored in each individual capacitor. energy stored in C₁ J energy stored in C₂ J 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)? V Which capacitor stores more energy in this situation, C₁ or C₂? o C₁ 0 C₂ O Both C₁ and C₂ store the same amount of energy.
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