A 9V battery is connected across a set of capacitors distributed in the arrangement shown in the figure. The capacitances are C1 = 3 µF, C2 = 1 µF, and C3 = 5 µF. (a) Calculate the equivalent capacitance of this arrangement. (b) Calculate the charge on capacitor C1. (c) Calculate the energy stored in capacitor C3. (d) A dielectric is inserted in capacitor C2, completely filling the space between the plates. The charge on capacitor C1 is found to be 5/4 of the value it had before the dielectric was inserted (which you calculated in part (b). Calculate the dielectric constant k of the dielectric. C1 HH 9 V C3
A 9V battery is connected across a set of capacitors distributed in the arrangement shown in the figure. The capacitances are C1 = 3 µF, C2 = 1 µF, and C3 = 5 µF. (a) Calculate the equivalent capacitance of this arrangement. (b) Calculate the charge on capacitor C1. (c) Calculate the energy stored in capacitor C3. (d) A dielectric is inserted in capacitor C2, completely filling the space between the plates. The charge on capacitor C1 is found to be 5/4 of the value it had before the dielectric was inserted (which you calculated in part (b). Calculate the dielectric constant k of the dielectric. C1 HH 9 V C3
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
Transcribed Image Text:A 9V battery is connected across a set of capacitors distributed in the arrangement shown in the figure. The
capacitances are C1 = 3 µF, C2 = 1 µF, and C3 = 5 µF.
%3D
(a) Calculate the equivalent capacitance of this arrangement.
(b) Calculate the charge on capacitor C1.
(c) Calculate the energy stored in capacitor C3.
(d) A dielectric is inserted in capacitor C2, completely filling the space between the plates. The charge on capacitor C1
is found to be 5/4 of the value it had before the dielectric was inserted (which you calculated in part (b)). Calculate the
dielectric constant k of the dielectric.
C1
9 V
C2
C3
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