Five capacitors are connected as shown in the following figure. 2.0 μF 1.0 μF 2.0 μF a b 4.0 μF 4.0 μF a) Find the equivalent capacitance between points a and b. b) Find the total charge of the system if AVab = 10 V. c) Calculate the energy stored in the 1 µF capacitor if AVab = 10 V. d) Calculate the total energy stored in this system if AVab = 10 V.

Five capacitors are connected as shown in the following figure. 2.0 μF 1.0 μF 2.0 μF a b 4.0 μF 4.0 μF a) Find the equivalent capacitance between points a and b. b) Find the total charge of the system if AVab = 10 V. c) Calculate the energy stored in the 1 µF capacitor if AVab = 10 V. d) Calculate the total energy stored in this system if AVab = 10 V.

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 48P: Four capacitors are connected as shown in Figure P16.48. (a) Find the equivalent capacitance between...

See similar textbooks

Similar questions

Three capacitors having capacitances of 8.40, 8.40, and 4.20F , respectively, are connected in series across a 36.0-V potential difference. (a) What is the charge on the 4.20F capacitor? (b) The capacitors are disconnected from the potential difference without allowing them to discharge. They are then reconnected in parallel with each other with the positively charged plates connected together. What is the voltage across each capacitor in the parallel combination?
A 6.50-F capacitor is connected to a battery. What is the charge on each plate of the capacitor if the voltage of the battery is a. 10.0 V and b. 2.00 V?
Find the equivalent capacitance between points a and b in the combination of capacitors shown in Figure P25.13. Figure P25.13
Three capacitors having capacitances 8.4, 8.4, and 4.2 F are connected in series across a 36.0-V potential difference, (a) What is the total energy stored in all three capacitors? (b) The capacitors are disconnected from the potential difference without allowing them to discharge. They are then reconnected in parallel with each other with the positively charged plates connected together. What is the total energy now stored in the capacitors?
Three capacitors are connected to a battery as shown in Figure P20.50. Their capacitances are C1 = 3C, C2 = C, and C3 = 5C. (a) What is the equivalent capacitance of this set of capacitors? (b) State the ranking of the capacitors according to the charge they store from largest to smallest. (c) Rank the capacitors according to the potential differences across them from largest to smallest. (d) What If? Assume C3 is increased. Explain what happens to the charge stored by each capacitor. Figure P20.50
Find the total capacitance of the combination of capacitors shown in Figure 19.35. Figure 19.35 A combination of series and parallel connections of capacitors.
Given the arrangement of capacitors in Figure P27.23, find an expression for the equivalent capacitance between points a and b. Figure P27.23 Problems 23 and 24.
The network of capacitors shown below are all uncharged when a 300-V potential is applied between points A and B with the switch S open, (a) What is the Potential difference VE-VD? (b) What is the potential at point E after the switch is closed? (c) How much charge flows through the switch after it is closed?
Four capacitors are connected as shown in Figure P16.48. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor, taking Vab = 15.0 V. Figure P16.48
(a) When a battery is connected to the plates of a 3.00-F capacitor, it stores a charge of 27.0 C. What is the voltage of the battery? (b) If the same capacitor is connected to another batten and 36.0 C of charge is stored on the capacitor, what is the voltage of the battery?
Two capacitors, C1 = 18.0 F and C2 = 36.0 F, 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?
Four capacitors are connected as shown in Figure P16.48. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor, taking Vab = 15.0 V. Figure P16.48