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 73PQ
In a laboratory, you find a 9.00-V battery and a 12.0-V battery. You also find a 30.0-μF capacitor and a 45.0-μF capacitor. Your challenge is to store the maximum possible energy. You may use as much of this equipment as you wish. Describe your solution, and draw a schematic diagram of your network. How much energy is stored by the capacitor(s)?
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Check out a sample textbook solutionChapter 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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- A parallel-plate capacitor has capacitance 3.00 F. (a) How much energy is stored in the capacitor if it is connected to a 6.00-V battery? (b) If the battery is disconnected and the distance between the charged plates doubled, what is the energy stored? (c) The battery is subsequently reattached to the capacitor, but the plate separation remains as in part (b). How much energy is stored? (Answer each part in microjoules.)arrow_forwardA nervous physicist worries that the two metal shelves of his wood frame bookcase might obtain a high voltage if charged by static electricity, perhaps produced by friction. (a) What is the capacitance of the empty shelves if they have area 1.00102 m2 and are 0.200 m apart? (b) What is the voltage between them it opposite charges of magnitude 2.00 nC are placed on them? (C) To show that this voltage poses a small hazard, calculate the energy stored.arrow_forwardA parallel-plate capacitor has plates of area A = 7.00 102 m2 separated by distance d = 2.00 104 m. (a) Calculate the capacitance if the space between the plates is filled with air. What is the capacitance if the space is filled half with air and half with a dielectric of constant = 3.70 as in (b) Figure P16.56a, and (c) Figure P16.56b? (Hint: In (b) and (c), one of the capacitors is a parallel combination and the other is a series combination.) Figure P16.56arrow_forward
- True or False? (a) From the definition of capacitance C = Q/V it follows that an uncharged capacitor has a capacitance of zero. (b) As described by the definition of capacitance, the potential difference across an uncharged capacitor is zero.arrow_forwardAn anxious physicist worries that the two metal shelves of a wood frame bookcase might obtain a high voltage if charged by static electricity,, perhaps produced by friction, (a) What is the capacitance of the empty shelves if they have area 1.00102m2 and are 0.200 m apart? (b) What is the voltage between them if opposite charges of magnitude 2.00 nC are placed on them? (c) To show that this voltage poses a small hazard, calculate the energy stored, (d) The actual shelves have an area 100 times smaller than these hypothetical shelves. Are his fears justified?arrow_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P16.46 if C1 = 5.00 F, C2 = 10.00 F, and C3 = 2.00 F. (b) If the potential between points a and b is 60.0 V, what charge is stored on C5? Figure P16.46arrow_forward
- A parallel-plate capacitor has capacitance 3.00 F. (a) How much energy is stored in the capacitor if it is connected to a 6.00-V battery? (b) If the battery is disconnected and the distance between the charged plates doubled, what is the energy stored? (c) The battery is subsequently reattached to the capacitor, but the plate separation remains as in part (b). How much energy is stored? (Answer each part in microjoules.)arrow_forwardA parallel-plate capacitor has plates of area A = 7.00 102 m2 separated by distance d = 2.00 104 m. (a) Calculate the capacitance if the space between the plates is filled with air. What is the capacitance if the space is filled half with air and half with a dielectric of constant = 3.70 as in (b) Figure P16.56a, and (c) Figure P16.56b? (Hint: In (b) and (c), one of the capacitors is a parallel combination and the other is a series combination.) Figure P16.56arrow_forwardA variable air capacitor used in a radio tuning circuit is made of N semicircular plates, each of radius R and positioned a distance d from its neighbors, to which it is electrically connected. As shown in Figure P20.38, a second identical set of plates is enmeshed with the first set. Each plate in the second set is halfway between two plates of the first set. The second set can rotate as a unit. Determine the capacitance as a function of the angle of rotation , where = 0 corresponds to the maximum capacitance. Figure P20.38arrow_forward
- Consider the combination of capacitors in Figure P16.42. (a) Find the equivalent single capacitance of the two capacitors in series and redraw the diagram (called diagram 1) with this equivalent capacitance. (b) In diagram 1, find the equivalent capacitance of the three capacitors in parallel and redraw the diagram as a single battery and single capacitor in a loop. (c) Compute the charge on the single equivalent capacitor. (d) Returning to diagram 1, compute the charge on each individual capacitor. Does the sum agree with the value found in part (c)? (e) What is the charge on the 24.0-F capacitor and on the 8.00-F capacitor? Compute the voltage drop across (f) the 24.0-F capacitor and (g) the 8.00-F capacitor. Figure P16.42arrow_forwarda. If capacitor B in Figure 27.8 has a charge of 0.5 nC, what is the potential difference between its plates and how much potential energy does it store? b. If capacitor A in Figure 27.8 stores the same amount of potential energy found in part (a), what is the magnitude of the excess charge on its plates? What is the potential difference between its plates? Use the capacitance CA found in Concept Exercise 27.2.arrow_forwardWhen a Leyden jar is charged by a hand generator (Fig. 27.1, page 828), the work done by the person turning the crank is stored as electric potential energy in the jar. When a capacitor is charged by a battery, where does the electric potential energy come from?arrow_forward
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