Two capacitors, C, = 21.0 µF and C, = 35.0 µF, are connected in series, and a 9.0-Vbattery is connected across the two capacitors.(a) Find the equivalent capacitance.HF(b) Find the energy stored in this equivalent capacitance.(c) Find the energy stored in each individual capacitor.capacitor 1capacitor 2(d) Show that the sum of these two energies is the same as the energy found inpart (b).This answer has not been graded yet.(e) Will this equality always be true, or does it depend on the number ofcapacitors and their capacitances?This equality will always be true.This equality depends on the number of capacitors.(f) If the same capacitors were connected in parallel, what potential differencewould be required across them so that the combination stores the same energy asin part (a)?V(g) Which capacitor stores more energy in this situation, C, or C,?C1C2O The capacitors store the same amount of energy.

Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Two capacitors, C, = 21.0 µF and C, = 35.0 µF, are connected in series, and a 9.0-V battery is connected across the two capacitors. (a) Find the equivalent capacitance. (b) Find the energy stored in this equivalent capacitance. (c) Find the energy stored in each individual capacitor. capacitor 1 capacitor 2

Two capacitors, C, = 21.0 µF and C, = 35.0 µF, are connected in series, and a 9.0-V battery is connected across the two capacitors. (a) Find the equivalent capacitance. (b) Find the energy stored in this equivalent capacitance. (c) Find the energy stored in each individual capacitor. capacitor 1 capacitor 2

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Concept explainers

Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

Question

100%

Two capacitors, C, = 21.0 µF and C, = 35.0 µF, are connected in series, and a 9.0-V
battery is connected across the two capacitors.
(a) Find the equivalent capacitance.
HF
(b) Find the energy stored in this equivalent capacitance.
(c) Find the energy stored in each individual capacitor.
capacitor 1
capacitor 2
(d) Show that the sum of these two energies is the same as the energy found in
part (b).
This answer has not been graded yet.
(e) Will this equality always be true, or does it depend on the number of
capacitors and their capacitances?
This equality will always be true.
This equality depends on the number of capacitors.
(f) 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
(g) Which capacitor stores more energy in this situation, C, or C,?
C1
C2
O The capacitors store the same amount of energy.

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