Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 25, Problem 79P
A parallel-plate capacitor has charge q and plate area A. (a) By finding the work needed to increase the plate separation from x to x + dx, determine the force between the plates. (Hint: See Eq. 8-22.) (b) Then show that the force per unit area (the electrostatic stress) acting on either plate is equal to the energy density ⌃0E2/2 between the plates.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Chapter 25 Solutions
Fundamentals of Physics Extended
Ch. 25 - Figure 25-18 shows plots of charge versus...Ch. 25 - What is Ceq of three capacitors, each of...Ch. 25 - a In Fig. 25-19a are capacitors 1 and 3 in series?...Ch. 25 - Figure 25-20 shows three circuits, each consisting...Ch. 25 - Initially, a single capacitance C1 is wired to a...Ch. 25 - Repeat Question 5 for C2 added in series rather...Ch. 25 - For each circuit in Fig. 25-21, are the capacitors...Ch. 25 - Figure 25-22 shows an open switch, a battery of...Ch. 25 - A parallel-plate capacitor is connected to a...Ch. 25 - When a dielectric slab is inserted between the...
Ch. 25 - You are to connect capacitances C1 and C2, with...Ch. 25 - The two metal objects in Fig. 25-24 have net...Ch. 25 - The capacitor in Fig. 25-25 has a capacitance of...Ch. 25 - SSM A parallel-plate capacitor has circular plates...Ch. 25 - The plates of spherical capacitor have radii 38.0...Ch. 25 - What is the capacitance of a drop that results...Ch. 25 - You have two flat metal plates, each of area...Ch. 25 - If an uncharged parallel-plate capacitor...Ch. 25 - How many 1.00 F capacitors must be connected in...Ch. 25 - Each of the uncharged capacitors in Fig. 25-27 has...Ch. 25 - In Fig. 25-28, find the equivalent capacitance of...Ch. 25 - In Fig. 25-29, find the equivalent capacitance of...Ch. 25 - Two parallel-plate capacitors, 6.0 F each, are...Ch. 25 - SSM ILW A 100 pF capacitor is charged to a...Ch. 25 - GO In Fig. 25-30, the battery has a potential...Ch. 25 - GO In Fig. 25-31, a 20.0 V battery is connected...Ch. 25 - Plot in Fig. 25-32a gives the charge q that can be...Ch. 25 - GO In Fig. 25-29, a potential difference of V =...Ch. 25 - Figure 25-33 shows a circuit section of four...Ch. 25 - GO In Fig. 25-34, the battery has potential...Ch. 25 - Figure 25-35 shows a variable "airgap capacitor...Ch. 25 - SSM WWWIn Fig. 25-36, capacitances are charged C1...Ch. 25 - In Fig. 25-37, V = 10 V, C1 = 10 F, and C2 = C3 =...Ch. 25 - The capacitors in Fig. 25-38 are initially...Ch. 25 - GO Figure 25-39 represents two air-filled...Ch. 25 - GO In Fig. 25-40, two parallel-plate capacitors...Ch. 25 - GO Capacitor 3 in Fig. 25-41a is a variable...Ch. 25 - GO Figure 25-42 shows a 12.0 V battery and four...Ch. 25 - GO Figure 25-43 displays a 12.0 V battery and 3...Ch. 25 - What capacitance is required to store an energy of...Ch. 25 - How much energy is stored in 1.00 m3of air due to...Ch. 25 - SSMA 2.0 F capacitor and a 4.0 F capacitor are...Ch. 25 - A parallel-plate air-filled capacitor having area...Ch. 25 - A charged isolated metal sphere of diameter 10 cm...Ch. 25 - In Fig. 25-28, a potential difference V = 100 V is...Ch. 25 - Assume that a stationary electron is a point of...Ch. 25 - As a safety engineer, you must evaluate the...Ch. 25 - SSM ILW WWW The parallel plates in a capacitor,...Ch. 25 - In Fig. 25-29, a potential difference V = 100 V is...Ch. 25 - Go In Fig. 25-45, C1 = 10.0 F, C2= 20.0 F, and C3...Ch. 25 - An air-filled parallel-plate capacitor has a...Ch. 25 - SSMA coaxial cable used in a transmission line has...Ch. 25 - A parallel-plate air-filled capacitor has a...Ch. 25 - Given a 7.4 pF air-filled capacitor, you are asked...Ch. 25 - You are asked to construct a capacitor having a...Ch. 25 - A certain parallel-plate capacitor is filled with...Ch. 25 - In Fig. 25-46, how much charge is stored on the...Ch. 25 - SSM ILWA certain substance has a dielectric...Ch. 25 - Figure 25-47 shows a parallel-plate capacitor with...Ch. 25 - Figure 25-48 shows a parallel-plate capacitor with...Ch. 25 - Go Figure 25-49 shows a parallel-plate capacitor...Ch. 25 - SSM WWWA parallel-plate capacitor has a...Ch. 25 - For the arrangement of Fig. 25-17, suppose that...Ch. 25 - A parallel-plate capacitor has plates of area 0.12...Ch. 25 - Two parallel plates of area 100 cm2 are given...Ch. 25 - The space between two concentric conducting...Ch. 25 - In Fig. 25-50, the battery potential difference V...Ch. 25 - SSMIn Fig. 25-51, V = 9.0 V, C1 = C2= 30 F, and C3...Ch. 25 - a If C = 50 F in Fig. 25-52, what is the...Ch. 25 - In Fig.25-53, V = 12 V, C1 = C4 = 2.0 F, C2 = 4.0...Ch. 25 - The chocolate crumb mystery. This troy begins with...Ch. 25 - Figure 25-54 shows capacitor 1 C1 = 8.00 F,...Ch. 25 - Two air-filled, parallel-plate capacitors are to...Ch. 25 - Two parallel-plate capacitors, 6.0 F each, are...Ch. 25 - GO In Fig. 25-55, V = 12 V, C1 = C5 = C6 = 6.0 F,...Ch. 25 - SSM In Fig.25-56, the parallel-plate capacitor of...Ch. 25 - A cylindrical capacitor has radii a and b as in...Ch. 25 - A capacitor of capacitance C1 = 6.00 F is...Ch. 25 - Repeat Problem 67 for the same two capacitors but...Ch. 25 - A certain capacitor is charged to a potential...Ch. 25 - Aslab of copper of thickness b = 2.00 mm is thrust...Ch. 25 - Repeat Problem 70, assuming that a potential...Ch. 25 - A potential difference of 300 V is applied to a...Ch. 25 - Figure 25-58 shows a four capacitor arrangement...Ch. 25 - You have two plates of copper, a sheet of mica...Ch. 25 - A capacitor of unknown capacitance Cis charged to...Ch. 25 - A 10 V battery is connected to a series of n...Ch. 25 - SSM In Fig. 25-59, two parallel-plate capacitors A...Ch. 25 - You have many 2.0F capacitors, each capable of...Ch. 25 - A parallel-plate capacitor has charge q and plate...Ch. 25 - A capacitor is charged until its stored energy is...
Additional Science Textbook Solutions
Find more solutions based on key concepts
MAKE CONNECTIONS Balancing selection can maintain variation at a locus (see Concept 21.4). Based on the foragin...
Campbell Biology in Focus (2nd Edition)
Could an organism be a fermenter and also be both MR and V—P negative? Explain.
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
1.3 Obtain a bottle of multivitamins and read the list of ingredients. What are four chemicals from the list?
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
All of the following terms can appropriately describe humans except: a. primary consumer b. autotroph c. hetero...
Human Biology: Concepts and Current Issues (8th Edition)
Pus is both a sign of infection and an indicator of immune defenses in action. Explain.
Campbell Biology (11th Edition)
Choose the best answer to each of the following. Explain your reasoning. Given the observational evidence, it i...
Cosmic Perspective Fundamentals
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The dielectric to be used in a parallel-plate capacitor has a dielectric constant of 3.60 and a dielectric strength of 1.60107 V/m. The capacitor has to have a capacitance of 1.25 nF and must be able to withstand a maximum potential difference 5.5 kV. What is the minimum area the plates of the capacitor may have?arrow_forwardAccording to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the capacitor, but according to UE = Q2/2C (Eq. 27.2), a greater capacitance means less energy is stored. How can both of these equations be correct?arrow_forwardAn electronics technician wishes to construct a parallel plate capacitor using rutile ( = 100) as the dielectric. The area of the plates is 1.00 cm2. What is the capacitance if the rutile thickness is 1.00 mm? (a) 88.5 pF (b) 177 pF (c) 8.85 F (d) 100 F (e) 35.4 Farrow_forward
- An election enters a region between two large parallel plates made of aluminum separated by a distance of 2.0 cm and kept at a potential difference of 200 V. The electron enters through a small hole in the negative plate and moves toward the positive plate. At the time the electron is near the negative plate, its speed is 4.0103 m/s. Assume the electric field between the plates to be uniform, and find the speed of electron at (a) 0.10 cm, (b) 0.50 cm, (c) 1.0 cm, and (d) 1.5 cm from the negative plate, and (e) immediately before it hits the positive plate.arrow_forwardA particle with charge 1.60 1019 C enters midway between two charged plates, one positive and the other negative. The initial velocity of the particle is parallel to the plates and along the midline between them (Fig. P26.48). A potential difference of 300.0 V is maintained between the two charged plates. If the lengths of the plates are 10.0 cm and they are separated by 2.00 cm, find the greatest initial velocity for which the particle will not be able to exit the region between the plates. The mass of the particle is 12.0 1024 kg. FIGURE P26.48arrow_forward(a) Regarding (lie Earth and a cloud layer 800 m above the Earth as the plates of a capacitor, calculate the capacitance of the Earth-cloud layer system. Assume the cloud layer has an area of 1.00 km2 and the air between the cloud and the ground is pure and dry'. Assume charge builds up on the cloud and on the ground until a uniform electric field of 3.00 106 N/C throughout the space between them makes the air break down and conduct electricity as a lightning bolt, (b) What is the maximum charge the cloud can hold?arrow_forward
- A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with uniform density. At the point P with coordinates (x = 80.0 cm, y = 80.0 cm), this filament creates electric potential 100 V. Now we add another filament along the y axis, running from the origin to y = 80.0 cm, carrying the same amount of charge with the same uniform density. At the same point P, is the electric potential created by the pair of filaments (a) greater than 200 V, (b) 200 V, (c) 100 V, (d) between 0 and 200 V, or (e) 0?arrow_forwardA parallel-plate capacitor is charged and then is disconnected from the battery. By what factor does the stored energy change when the plate separation is then doubled? (a) It becomes four times larger. (b) It becomes two times larger. (c) It stays the same. (d) It becomes one-half as large. (e) It becomes one-fourth as large.arrow_forwardA parallel-plate capacitor filled with air carries a charge Q. The battery is disconnected, and a slab of material with dielectric constant = 2 is inserted between the plates. Which of the following statements is true? (a) The voltage across the capacitor decreases by a factor of 2. (b) The voltage across the capacitor is doubled. (c) The charge on the plates is doubled. (d) The charge on the plates decreases by a factor of 2. (e) The electric field is doubled.arrow_forward
- When 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(i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality, (a) a 20-F capacitor with a 4-V potential difference between its plates (b) a 30-F capacitor with charges of magnitude 90 C on each plate (c) a capacitor with charges of magnitude 80 C on its plates, differing by 2 V in potential. (d) a 10-F capacitor storing energy 125 J (e) a capacitor storing energy 250 J with a 10-V potential difference (ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates, (iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates, (iv) Rank the capacitors in part (i) in the order of the energy they store.arrow_forwardCheck Your Understanding The capacitance of a parallel-plate capacitor is 2.0 pF. If the area of each plate is 2.4 cm2, what is the plate separation?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Physics Capacitor & Capacitance part 7 (Parallel Plate capacitor) CBSE class 12; Author: LearnoHub - Class 11, 12;https://www.youtube.com/watch?v=JoW6UstbZ7Y;License: Standard YouTube License, CC-BY