Can you help with d and e? Problem 2: Three capacitors are connected in series as shown in the figure. Thecapacitances are C; = 5.3 µF, and C2= 5.2 µF, C3 is unknown, and the charge stored in each capacitoris Q = 10.5 µC.Part (a) Express the capacitance C of a capacitor in terms of charge Q and voltage AV on it.C= Q/AV/ Correct!Part (b) Apply the above formula to capacitor C, to find an expression for the potential difference AV2 across it.AV12 = Q/C1/ Correct!Part (c) Express the potential difference AV12 through potentials V; and V2 where V; and V2 are the potentials measured in the wires 1 and 2,respectively, relative to the negative side of the battery.AV12 = V1 - V2 v Correct!Part (d) Calculate V2 in V given V1 =9 V.V2 =Part (e) Repeat the above procedure for capacitor C, and calculate the potential at point 3, V3 in V.V3=

Given data: Capacitance: C1=5.3 μF; C2=5.2 μF Charge stored in each capacitor, Q=10.5 μC Potential,…

Problem 2: Three capacitors are connected in series as shown in the figure. The capacitances are C,= 5.3 µF, and C2 = 5.2 uF, C3 is unknown, and the charge stored in each capacitor is Q = 10.5 µC. Part (a) Express the capacitance C of a capacitor in terms of charge Q and voltage AV on it. C= QAV / Correct! Part (b) Apply the above formula to capacitor C, to find an expression for the potential difference AV12 across it. AV12 = Q'C1 / Correct! Part (c) Express the potential difference AV12 through potentials V; and V, where V and V2 are the potentials measured in the wires 1 and 2, respectively, relative to the negative side of the battery. AV12 = V1 - V2 Correct! Part (d) Calculate V2 in V given V =9 V. V2 = Part (e) Repeat the above procedure for capacitor C2 and calculate the potential at point 3, V3 in V. V3 =

Problem 2: Three capacitors are connected in series as shown in the figure. The capacitances are C,= 5.3 µF, and C2 = 5.2 uF, C3 is unknown, and the charge stored in each capacitor is Q = 10.5 µC. Part (a) Express the capacitance C of a capacitor in terms of charge Q and voltage AV on it. C= QAV / Correct! Part (b) Apply the above formula to capacitor C, to find an expression for the potential difference AV12 across it. AV12 = Q'C1 / Correct! Part (c) Express the potential difference AV12 through potentials V; and V, where V and V2 are the potentials measured in the wires 1 and 2, respectively, relative to the negative side of the battery. AV12 = V1 - V2 Correct! Part (d) Calculate V2 in V given V =9 V. V2 = Part (e) Repeat the above procedure for capacitor C2 and calculate the potential at point 3, V3 in V. V3 =

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 44P: Three capacitors are connected to a battery as shown in Figure P16.44. Their capacitances are C1 =...

See similar textbooks

Similar questions

A pair of capacitors with capacitances CA = 3.70 F and CB = 6.40 F are connected in a network. What is the equivalent capacitance of the pair of capacitors if they are connected a. in parallel and b. in series?
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.
An arrangement of capacitors is shown in Figure P27.23. a. If C = 9.70 105 F, what is the equivalent capacitance between points a and b? b. A battery with a potential difference of 12.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor? Figure P27.23 Problems 23 and 24.
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?
Find the equivalent capacitance between points a and b in the combination of capacitors shown in Figure P25.13. Figure P25.13
In Figure P27.7, capacitor 1 (C1 = 20.0 F) initially has a potential difference of 50.0 V and capacitor 2 (C2 = 5.00 F) has none. The switches are then closed simultaneously. a. Find the final charge on each capacitor after a long time has passed. b. Calculate the percentage of the initial stored energy that was lost when the switches were closed. FIGURE P27.7
What If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.
Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are connected in series, and a 12.0-V battery is connected across the two capacitors. Find (a) the equivalent capacitance and (b) the energy stored in this equivalent capacitance. (c) Find the energy stored in each individual capacitor. (d) Show that the sum of these two energies is the same as the energy found in part (b). (e) Will this equality always be true, or docs it depend on the number of capacitors and their capacitances? (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)? (g) Which capacitor stores more energy in this situation, C1 or C2?
(i) A battery is attached to several different capacitors connected in parallel. Which of the following statements is true? (a) All capacitors have the same charge, and the equivalent capacitance is greater than the capacitance of any of the capacitors in the group, (b) The capacitor with the largest capacitance carries the smallest charge, (c) The potential difference across each capacitor is the same, and the equivalent capacitance is greater than any of the capacitors in the group. (d) The capacitor with the smallest capacitance carries the largest charge. (e) The potential differences across the capacitors are the same only if the capacitances are the same, (ii) The capacitors are reconnected in series, and the combination is again connected to the battery. From the same choices, choose the one that is true.
Three capacitors are connected to a battery as shown in Figure P16.44. 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) Assume C3 is increased. Explain what happens to the charge stored by each capacitor. Figure P16.44
Figure P27.75 shows four capacitors with CA = 4.00 F, CB = 8.00 F. CC = 6.00 F. and CD = 5.00 F connected across points a and b, which have potential difference Vab = 12.0 V. a. What is the equivalent capacitance of the four capacitors? b. What is the charge on each of the four capacitors?
A 1-megabit computer memory chip contains many 60.0 1015-F capacitors. Each capacitor has a plate area of 21.0 1012 m2. Determine the plate separation of such a capacitor. (Assume a parallel-plate configuration.) The diameter of an atom is on the order of 1010 m = 1 . Express the plate separation in angstroms.