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
Textbook Question
Chapter 24, Problem 24.20DQ
A conductor is an extreme case of a dielectric, since if an electric field is applied to a conductor, charges are free to move within the conductor to set up “induced charges.” What is the dielectric constant of a perfect conductor? Is it K = 0, K → ∞, or something in between? Explain your reasoning.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A
V
K1
d1
K2
d2
Two insulating materials with thicknesses and dielectric constants d, = 6cm,
K1 = 6 and d, = 7cm, K2 = 7 are placed tightly in between two conductive parallel
plates with surface area A = 1m?. Since the potential difference V = 120V is
applied to the conductor plates, find the induced charge on the surface of the
insulator with dielectric constant K, = 6. ɛ, = 9x10-12
Nm2
A parallel-plate capacitor is constructed by filling the space between two square plates with a block of three dielectric materials, as shown in the figure below. You may assume that ℓ ≫ d.
A parallel-plate capacitor is comprised of two square plates with sides of length ℓ and separation distance d. There are three dielectric materials in the space between the capacitor plates. A material with length ℓ⁄2, height d, and dielectric constant ?1 fills the left half of the space. A material with length ℓ⁄2, height d⁄2, and dielectric constant ?2 fills the top right quarter of the space. A material with length ℓ⁄2, height d⁄2, and dielectric constant ?3 fills the bottom right quarter of the space.
(a) Find an expression for the capacitance of the device in terms of the plate area A and d, ?1, ?2, and ?3. (Use the following as necessary: ?1, ?2, ?3, ?0, A and d.)C =
(b) Calculate the capacitance using the values A = 1.30 cm2, d = 2.00 mm, ?1 = 4.90, ?2 = 5.60, and ?3 = 2.50.
A vacuum-insulated parallel-plate capacitor with plate separation d has capacitance C0.
What is the capacitance if an insulator with dielectric constant κ and thickness d/2 is slipped between the electrodes without changing the plate separation?
Express your answer in terms of the variables d, C0, and κ.
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
The correct option.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
A 250-nC point charge is placed at the center of an uncharged spherical conducting shell 20 cm in radius. Find ...
Essential University Physics: Volume 2 (3rd Edition)
Why do tightrope walkers (Fig. 10–43) carry a long, narrow beam?
Physics for Scientists and Engineers with Modern Physics
Choose the best answer to each of the following. Explain your reasoning. Two stars that are in the same constel...
The Cosmic Perspective Fundamentals (2nd Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
10. What is the long-range fate of all the uranium that exists in the world today?
Conceptual Physical Science (6th 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
- (a) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graff terminal? (b) What is unreasonable about this result? (c) Which assumptions are responsible?arrow_forwardAn electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of volts, when x, y, and z are in meters. a. Find an expression for the electric field as a function of position. b. What is the electric field at (2.0 m, 4.5 m, 2.0 m)?arrow_forwardA Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 3.40 cm and that the wire along the axis has a diameter of 0.205 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 106 V/m. Use the equation 2?rℓE = qin ?0 to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas.arrow_forward
- The surface area of each of the two opposite loaded conductive plates with equivalent properties is 2.50 cm2. The plates are separated by a dielectric material with a dielectric constant K = 3.60 and a thickness of 1.80 mm. The net electric field strength in the dielectric material is 1.20 ×1000000 V / m. Part A : Calculate the amount of load σ accumulated in unit area on the conductor plate. Part B :Calculate the magnitude of the surface charge density σ1 of the dielectric material. Part C:Find the total electric field energy U stored in the shawl.arrow_forwardIt is the gap between the conductors in a capacitor consisting of two concentric spherical conductors. The radius of the inner conductor is 10 cm and the capacitance of the capacitor is 116 pF. What is the radius of the outer conductive sphere?arrow_forwardA Geiger-Mueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the cathode) of inner radius ra and a coaxial cylindrical wire (the anode) of radius rb (see figure below) with a gas filling the space between the electrodes. Assume that the internal diameter of a Geiger-Mueller tube is 1.95 cm and that the wire along the axis has a diameter of 0.210 mm. The dielectric strength of the gas between the central wire and the cylinder is 1.30 106 V/m. Use the equation 2?rℓE =qin/?0 to calculate the maximum potential difference that can be applied between the wire and the cylinder before breakdown occurs in the gas. [Image] A cross-section of a Geiger-Mueller tube shows an inner anode of radius rb and charge density ? and an outer cathode of radius ra and charge density −?.arrow_forward
- Cylindrical conducting surfaces with relative permittivity of 497 are used as plates of a capacitor. It has a thickness of 2.43 mm and a radius of 5.46 cm. What is the energy stored in this capacitor if a voltage of 364 V is applied?arrow_forwardA thin-walled, hollow, conducting cylinder with radius rb is concentric with a solid conducting cylinder with radius ra<rb. Each has length L. The two cylinders are attached by conducting wires to the terminals of a battery that supplies potential V. A solid cylindrical shell, with inner radius ra and outer radius R<rb, made of a material with dielectric constant K, slides between the conducting cylinders, as shown in (Figure 1). By changing the insertion distance x, we can alter the capacitance seen by the battery and therefore alter the amount of charge stored in this device. a)Determine the capacitance as a function of x. Express your answer in terms of the variables K, L, ra, rb, R, x, and constants ϵ0, π. b) If L = 12.0 cm, ra = 1.00 cm, rb = 4.00 cm, R = 3.00 cm, and K = 3.21, what is the capacitance when x = 0? c) What is the capacitance when x = L? d) What value of x results in 6.00 nC of charge on the positively charged cylinder plate when V = 1.00 kV?arrow_forward1. Consider an infinitely long cylinder of radius b surrounded by a grounded conductor. An electrostatic potential is arranged by the placement of a very thin set of electrodes at radius a such that at radius a (a< b), we have D = +V for 0< < t/2 and for t < p < 3t/2 D = -V for t/2 <arrow_forwardA capacitor is made with seven metal plates connected and separated by sheets of mica having a thickness of 0.2 mm and a relative permittivity of 6. The area of one side of each plate is measuring 25cm by 20cm. If the insulation of the capacitor is perfect, the charge on the plates remains constant. This means that the electric flux density and therefore the potential gradient in the dielectric must remain unaltered. a) Calculate the force, in newtons, on each disc when the p.d. between them is 1.0 kV. b) Calculate the capacitance in microfarads. c) Calculate the p.d. across the combination and the electrostatic energies before and after the capacitors are connected in parallel of 70 μF capacitor is charged from a 200V supply. After being disconnected it is immediately…arrow_forwarda) What is the electrical potential, in units of Volt, in the rod at x=L/2 ? b) What is the electric-field magnitude E, in units of V/m, in the rod at x=L/2?arrow_forwardSuppose you have two parallel conducting plates that are separated by 2.2 mm. a. What will the electric field strength between the plates be (in N/C) if they have a potential difference of 4.6 × 103 V? E = b. The electric breakdown strength for a particular medium, also called the dielectric strength, is the point at which electrons bound to the molecules of the medium begin to be stripped off due to the large electric field. How close together must the plates be with this applied voltage in order to achieve breakdown strength for air (3.0 × 106 V/m) in mm? dbreakdown=arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.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