Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 27, Problem 27PQ
Find the equivalent capacitance for the network shown in Figure P27.26 if C1 = 1.00 μF, C2 = 2.00 μF, C3 = 3.00 μF, C4 = 4.00 μF, and C5 = 5.00 μF.
FIGURE P27.26 Problems 26 and 27.
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Problem 2: Three capacitors are connected as shown in the figure. C; = 6.8 µF, C2 = 8.2
µF, C3 = 6.7 µF. The voltage on the battery is 12 V.
Part (a) Express the equivalent capacitance of the two capacitors C, and C2 in terms of the variables given in the problem statement.
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Part (b) Using the above result, express the total capacitance in terms of C12 and C3.
Part (c) Calculate the numerical value of the total capacitance in uF.
Part (d) Express the charge Q stored in the circuit in terms of capacitance C and the potential difference AV across the battery.
Part (e) Calculate the numerical value of Q in uC.
Part (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference AV.
Part (g) Calculate the numerical value of U in µJ.
The bi-layer of a cell wall can act like a capacitor. A certain cell is spherical in shape, with a diameter of 70.6 µm. The cell wall has a thickness of 7.7 nm. Proteins in the wall give an effective dielectric constant of 9.91. What is the capacitance of this cell, in pF?
The space between the conductors of a long coaxial cable, used to transmit TV signals, has an inner radius a = 0.15 mm and an outer radius b = 2.1 mm. What is the capacitance per unit length of this cable?
Chapter 27 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 27.1 - CASE STUDY How Big a Spring? Imagine the ring in...Ch. 27.2 - Consider two different capacitors, A and B. Figure...Ch. 27.2 - a. If capacitor B in Figure 27.8 has a charge of...Ch. 27.3 - Explain why electrons stop flowing when the...Ch. 27.3 - A large parallel-plate capacitor is attached to a...Ch. 27.4 - CASE STUDY Capacitors for a Thompson coil The...Ch. 27.7 - An X-ray tube at a dentists office produces X-rays...Ch. 27 - CASE STUDY Concept Exercise 27.1 (page 829), we...Ch. 27 - Prob. 2PQCh. 27 - In Franklins time, a device for storing electric...
Ch. 27 - The first Leyden jar was probably discovered by a...Ch. 27 - Prob. 5PQCh. 27 - According to UE=12C(V)2 (Eq. 27.3), a greater...Ch. 27 - In Figure P27.7, capacitor 1 (C1 = 20.0 F)...Ch. 27 - Prob. 8PQCh. 27 - A 4.50-F capacitor is connected to a battery for a...Ch. 27 - Prob. 10PQCh. 27 - Prob. 11PQCh. 27 - Prob. 12PQCh. 27 - Prob. 13PQCh. 27 - When a Leyden jar is charged by a hand generator...Ch. 27 - Prob. 15PQCh. 27 - A 6.50-F capacitor is connected to a battery. What...Ch. 27 - A pair of capacitors with capacitances CA = 3.70 F...Ch. 27 - Two 1.5-V batteries are required in a flashlight....Ch. 27 - Two capacitors have capacitances of 6.0 F and 3.0...Ch. 27 - Prob. 20PQCh. 27 - Calculate the equivalent capacitance between...Ch. 27 - Prob. 22PQCh. 27 - Given the arrangement of capacitors in Figure...Ch. 27 - An arrangement of capacitors is shown in Figure...Ch. 27 - Prob. 25PQCh. 27 - Prob. 26PQCh. 27 - Find the equivalent capacitance for the network...Ch. 27 - Prob. 28PQCh. 27 - The capacitances of three capacitors are in the...Ch. 27 - For the four capacitors in the circuit shown in...Ch. 27 - The separation between the 4.40-cm2 plates of an...Ch. 27 - A spherical capacitor is made up of two concentric...Ch. 27 - A Derive an expression for the capacitance of an...Ch. 27 - Prob. 34PQCh. 27 - Prob. 35PQCh. 27 - Prob. 36PQCh. 27 - Prob. 37PQCh. 27 - Prob. 38PQCh. 27 - Review One of the plates of a parallel-plate...Ch. 27 - Prob. 40PQCh. 27 - Prob. 41PQCh. 27 - A 56.90-pF cylindrical capacitor carries a charge...Ch. 27 - Prob. 43PQCh. 27 - Prob. 44PQCh. 27 - Prob. 45PQCh. 27 - Prob. 46PQCh. 27 - The plates of an air-filled parallel-plate...Ch. 27 - Prob. 48PQCh. 27 - Prob. 49PQCh. 27 - Prob. 50PQCh. 27 - Prob. 51PQCh. 27 - Prob. 52PQCh. 27 - Prob. 53PQCh. 27 - A parallel-plate capacitor with an air gap has...Ch. 27 - A parallel-plate capacitor with plates of area A =...Ch. 27 - Prob. 56PQCh. 27 - Prob. 57PQCh. 27 - Prob. 58PQCh. 27 - Prob. 59PQCh. 27 - Prob. 60PQCh. 27 - Find an expression for the electric field between...Ch. 27 - An air-filled parallel-plate capacitor is charged...Ch. 27 - Two Leyden jars are similar in size and shape, but...Ch. 27 - Prob. 64PQCh. 27 - Nerve cells in the human body and in other animals...Ch. 27 - Prob. 66PQCh. 27 - Prob. 67PQCh. 27 - Prob. 68PQCh. 27 - Prob. 69PQCh. 27 - Prob. 70PQCh. 27 - What is the maximum charge that can be stored on...Ch. 27 - Prob. 72PQCh. 27 - In a laboratory, you find a 9.00-V battery and a...Ch. 27 - Prob. 74PQCh. 27 - Figure P27.75 shows four capacitors with CA = 4.00...Ch. 27 - Prob. 76PQCh. 27 - Prob. 77PQCh. 27 - A parallel-plate capacitor with plates of area A...Ch. 27 - Prob. 79PQCh. 27 - Prob. 80PQCh. 27 - A 90.0-V battery is connected to a capacitor with...Ch. 27 - Consider an infinitely long network with identical...Ch. 27 - Prob. 83PQCh. 27 - What is the equivalent capacitance of the five...Ch. 27 - The circuit in Figure P27.85 shows four capacitors...Ch. 27 - Prob. 86PQCh. 27 - A Pairs of parallel wires or coaxial cables are...Ch. 27 - A parallel-plate capacitor has square plates of...
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- 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.arrow_forwardA 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?arrow_forwardFor the four capacitors in the circuit shown in Figure P27.30, CA = 1.00 F, CB = 4.00 F, CC = 2.00 F, and CD = 3.00 F. What is the equivalent capacitance between points a and b? Figure P27.30arrow_forward
- 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?arrow_forwardAn 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.arrow_forwardA Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.arrow_forward
- By what factor is the capacitance of a metal sphere multiplied if its volume is tripled? (a) 3 (b) 31/3 (c) 1 (d) 31/3 (e) 13arrow_forwardConsider an infinitely long network with identical capacitors arranged as shown in Figure P27.82. Determine the equivalent capacitance of such a network. Each capacitor has a capacitance of 1.00 F.arrow_forward(a) What is the energy stored in the 10.0 F capacitor of a heart defibrillator charged to 9.00103 V ? (b) Find the amount of stored charge.arrow_forward
- Find the equivalent capacitance between points a and b in the combination of capacitors shown in Figure P20.51. Figure P20.51arrow_forwardThree capacitors are connected as shown in the figure. C1 = 6.6 μF, C2 = 9.2 μF, C3 = 6.7 μF. The voltage on the battery is 12 V. Part a Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement. Part b Using the above result, express the total capacitance in terms of C12 and C3. Part c Calculate the numerical value of the total capacitance in μF. Part d Express the charge Q stored in the circuit in terms of capacitance C and the potential difference ΔV across the battery. Part e Calculate the numerical value of Q in μC. Part f Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV. Part g Calculate the numerical value of U in μJ.arrow_forwardIn this figure, C1= 9.8 µF, C2= 4.6 µF, C3= 4.8µF. The equivalent capacitance of the combination is µF. Express your answer in normal format (NOT exponential format) with 3 SF. C1 C3 C2 HHHarrow_forward
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