University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 24, Problem 24.62P
An air capacitor is made by using two flat plates, each with area A, separated by a distance d. Then a metal slab having thickness a (less than d) and the same shape and size as the plates is inserted between them, parallel to the plates and not touching either plate (Fig. P24.62). (a) What is the capacitance of this arrangement? (b) Express the capacitance as a multiple of the capacitance C0 when the metal slab is not present, (c) Discuss what happens to the capacitance in the limits a → 0 and a → d.
Figure P24.62
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule06:24
Chapter 24 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 24.1 - A capacitor has vacuum in the space between the...Ch. 24.2 - You want to connect a 4-F capacitor and an 8-F...Ch. 24.3 - You want to connect a 4-F capacitor and an 8-F...Ch. 24.4 - The space between the plates of an isolated...Ch. 24.5 - A parallel-plate capacitor has charges Q and Q on...Ch. 24.6 - A single point charge q is embedded in a very...Ch. 24 - Equation (24.2) shows that the capacitance of a...Ch. 24 - Suppose several different parallel-plate...Ch. 24 - Suppose the two plates of a capacitor have...Ch. 24 - To store the maximum amount of energy in a...
Ch. 24 - In the parallel-plate capacitor of Fig. 24.2,...Ch. 24 - A parallel-plate capacitor is charged by being...Ch. 24 - A parallel-plate capacitor is charged by being...Ch. 24 - Two parallel-plate capacitors, identical except...Ch. 24 - The charged plates of a capacitor attract each...Ch. 24 - You have two capacitors and want to connect them...Ch. 24 - As shown in Table 24.1, water has a very large...Ch. 24 - Is dielectric strength the same thing as...Ch. 24 - A capacitor made of aluminum foil strips separated...Ch. 24 - Suppose you bring a slab of dielectric close to...Ch. 24 - The freshness of fish can be measured by placing a...Ch. 24 - Electrolytic capacitors use as their dielectric an...Ch. 24 - In terms of the dielectric constant K, what...Ch. 24 - A parallel-plate capacitor is connected to a power...Ch. 24 - Liquid dielectrics that have polar molecules (such...Ch. 24 - A conductor is an extreme case of a dielectric,...Ch. 24 - The two plates of a capacitor are given charges Q....Ch. 24 - The plates of a parallel-plate capacitor are 2.50...Ch. 24 - The plates of a parallel-plate capacitor are 3.28...Ch. 24 - A parallel-plate air capacitor of capacitance 245...Ch. 24 - Cathode-ray-tube oscilloscopes have parallel metal...Ch. 24 - A 10.0-F parallel-plate capacitor with circular...Ch. 24 - A 5.00-F parallel-plate capacitor is connected to...Ch. 24 - A parallel-plate air capacitor is to store charge...Ch. 24 - A 5.00-pF, parallel-plate, air-filled capacitor...Ch. 24 - A capacitor is made from two hollow, coaxial, iron...Ch. 24 - A cylindrical capacitor consists of a solid inner...Ch. 24 - A spherical capacitor contains a charge of 3.30 nC...Ch. 24 - A cylindrical capacitor has an inner conductor of...Ch. 24 - A spherical capacitor is formed from two...Ch. 24 - Figure E24.14 shows a system of four capacitors,...Ch. 24 - BIO Electric Eels. Electric eels and electric fish...Ch. 24 - For the system of capacitors shown in Fig. E24.16,...Ch. 24 - In Fig. E24.17, each capacitor has C = 4.00 F and...Ch. 24 - In Fig. 24.8a, let C1 = 3.00 F, C2 = 5.00F, and...Ch. 24 - In Fig. 24.9a, let C1 = 3.00 F, C2 = 5.00 F, and...Ch. 24 - In Fig. E24.20, C1 = 6.00 F, C2 = 3 00 F, and C3 =...Ch. 24 - For the system of capacitors shown in Fig. E24.21,...Ch. 24 - Suppose the 3-F capacitor in Fig. 24.10a were...Ch. 24 - 5.80-F, parallel-plate, air capacitor has a plate...Ch. 24 - A parallel-plate air capacitor has a capacitance...Ch. 24 - An air capacitor is made from two flat parallel...Ch. 24 - A parallel-plate vacuum capacitor has 8.38 J of...Ch. 24 - You have two identical capacitors and an external...Ch. 24 - For the capacitor net-work shown in Fig. E24.28,...Ch. 24 - For the capacitor net-work shown in Fig. E24.29,...Ch. 24 - A 0.350-m-long cylindrical capacitor consists of a...Ch. 24 - A cylindrical air capacitor of length 15.0 m...Ch. 24 - A capacitor is formed from two concentric...Ch. 24 - A 12.5-F capacitor is connected to a power supply...Ch. 24 - A parallel-plate capacitor has capacitance C0 =...Ch. 24 - Two parallel plates have equal and opposite...Ch. 24 - A budding electronics hobbyist wants to make a...Ch. 24 - The dielectric to be used in a parallel-plate...Ch. 24 - BIO Potential in Human Cells. Some cell walls in...Ch. 24 - A constant potential difference of 12 v is...Ch. 24 - Polystyrene has dielectric constant 2.6 and...Ch. 24 - When a 360-nF air capacitor (1 nF = 109F) is...Ch. 24 - A parallel-plate capacitor has capacitance C =...Ch. 24 - A parallel-plate capacitor has the volume between...Ch. 24 - A parallel-plate capacitor has plates with area...Ch. 24 - Electronic flash units for cameras contain a...Ch. 24 - A parallel-plate air capacitor is made by using...Ch. 24 - In one type of computer keyboard, each key holds a...Ch. 24 - BIO Cell Membranes. Cell membranes (the walled...Ch. 24 - A 20.0-F capacitor is charged to a potential...Ch. 24 - In Fig. 24.9a, let C1 = 9.0 F, C2 = 4.0 F, and Vab...Ch. 24 - For the capacitor network shown in Fig. P24.51,...Ch. 24 - In Fig. E24.17, C1 = 6.00 F, C2 = 3.00 F, C3 =...Ch. 24 - In Fig. P24.53, C1 = C5 = 8.4 F and C2 = C3 = C4 =...Ch. 24 - Current materials-science technology allows...Ch. 24 - In Fig. E24.20, C1 = 3.00 F and Vab = 150 V. The...Ch. 24 - The capacitors in Fig. P24.56 are initially...Ch. 24 - Three capacitors having capacitances of 8.4, 8.4,...Ch. 24 - Capacitance of a Thundercloud. The charge center...Ch. 24 - In Fig. P24.59, each capacitance C1 is 6.9 F, and...Ch. 24 - Each combination of capacitors between points a...Ch. 24 - A parallel-plate capacitor with only air between...Ch. 24 - An air capacitor is made by using two flat plates,...Ch. 24 - A potential difference Vab = 48.0 V is applied...Ch. 24 - CALC The inner cylinder of a long, cylindrical...Ch. 24 - A parallel-plate capacitor has square plates that...Ch. 24 - A parallel-plate capacitor is made from two plates...Ch. 24 - Three square metal plates A, B, and C, each 12.0...Ch. 24 - A fuel gauge uses a capacitor to determine the...Ch. 24 - DATA Your electronics company has several...Ch. 24 - DATA You are designing capacitors for various...Ch. 24 - DATA You are conducting experiments with an...Ch. 24 - Two square conducting plates with sides of length...Ch. 24 - BIO THE ELECTRIC EGG. Upon fertilization, the eggs...Ch. 24 - Suppose that the egg has a diameter of 200 m. What...Ch. 24 - Suppose that the change in Vm was caused by the...Ch. 24 - What is the minimum amount of work that must be...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Choose the best answer to etch of the following. Explain your reasoning. 12.Natural selection is done name give...
Cosmic Perspective Fundamentals
7. Which bones form via intramembranous ossification?
a. Irregular bones
b. Certain flat bones
c. Long bones
d....
Human Anatomy & Physiology (2nd Edition)
4. What five specific threats to biodiversity are described in this chapter? Provide an example of each.
Biology: Life on Earth (11th Edition)
12. FIGURE Q7.12 shows two masses at rest. The string is massless and the pullies are frictionless. The spring ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
2. Whether an allele is dominant or recessive depends on
a. how common the allele is, relative to other alleles...
Campbell Biology: Concepts & Connections (9th Edition)
In your own words, briefly distinguish between relative dates and numerical dates.
Applications and Investigations in Earth Science (9th Edition)
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 separation between the 4.40-cm2 plates of an air-filled parallel-plate capacitor is 0.230 cm. a. What is the capacitance of this capacitor? If the capacitor is connected to a 9.00-V battery, find b. the charge stored by the capacitor and c. the magnitude of the electric field between its plates.arrow_forwardA parallel-plate capacitor has square plates of side s = 2.50 cm and plate separation d = 2.50 mm. The capacitor is charged by a battery to a charge Q = 4.00 C, after which the battery is disconnected. A porcelain dielectric ( = 6.5) is then inserted a distance y = 1.00 cm into the capacitor (Fig. P27.88). Hint: Consider the system as two capacitors connected in parallel. a. What is the effective capacitance of this capacitor? b. How much energy is stored in the capacitor? c. What are the magnitude and direction of the force exerted on the dielectric by the plates of the capacitor? Figure P27.88arrow_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_forward
- An 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_forwardBy 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_forwardA spherical capacitor consists of a spherical conducting shell of radius b and charge 2Q that is concentric with a smaller conducting sphere of radius a and charge +Q (Fig. P20.36). (a) Show that its capacitance is C=abke(ba) (b) Show that as b approaches infinity, the capacitance approaches the value a/ke = 40a. Figure P20.36arrow_forward
- A charged particle is moved in a uniform electric field between two points, A and B, as depicted in Figure P26.65. Does the change in the electric potential or the change in the electric potential energy of the particle depend on the sign of the charged particle? Consider the movement of the particle from A to B, and vice versa, and determine the signs of the electric potential and the electric potential energy in each possible scenario.arrow_forwardA 56.90-pF cylindrical capacitor carries a charge of 1.540 C. The capacitor has a length of 1.000 103 m. a. What is the potential difference across the capacitor? b. If the radial separation between the two cylinders is 6.520 104 m, what are the inner and outer radii of the cylindrical conductors?arrow_forwardFIGURE P26.14 Problems 14, 15, and 16. Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite?arrow_forward
- A parallel-plate capacitor with an air gap has capacitance C0. It is connected to a battery with potential V0 that gives it charge Q0 and stored energy U0. After the capacitor is disconnected from the battery, a dielectric with constant = 3 is inserted into the air gap, completely filling it. In terms of the initial values, find the new capacitance C, charge Q, potential V, and stored energy U.arrow_forwardA spherical capacitor is made up of two concentric spherical conductors. The inner sphere has positive charge +Q, and the outer sphere has negative charge Q. The radius of the inner sphere is rin, and the radius of the outer sphere is rout. Show that its capacitance is C = 40[rinrout/(rout rin)].arrow_forwardGiven 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher: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 Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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
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