PHYSICS 1250 PACKAGE >CI<
9th Edition
ISBN: 9781305000988
Author: SERWAY
Publisher: CENGAGE LEARNING (CUSTOM)
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 26, Problem 26.62AP
A parallel-plate capacitor with vacuum between its horizontal plates has a capacitance of 25.0 μF. A nonconducting liquid with dielectric constant 6.50 is poured into the space between the plates, filling up a fraction f of its volume. (a) Find the new capacitance as a function of f. (b) What should you expect the capacitance to be when f = 0? Does your expression from part (a) agree with your answer? (c) What capacitance should you expect when f = 1? Does the expression from part (a) agree with your answer?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A capacitor is attached to a battery. It has initial capacitance Co, voltage Vo, charge Qo, and energy Uo.
Let's put some dielectric material of dielectric constant K in there in two different ways. For each case, figure out the
following for the resulting "new" capacitor: C, V, Q, and U, in terms of the old value and K.
The capacitor is left attached to the battery. A slab of dielectric material with K=3 is inserted into the capacitor
without otherwise disturbing it. In terms of the initial values, what are the new values?
The capacitor is disconnected from the battery after it is charged up to Qo. Then, a slab of dielectric material with
K=3 is inserted into the capacitor without anybody touching the plates or otherwise disturbing the capacitor. In
terms of the initial values, what are the new values?
A parallel-plate capacitor was measured to have a capacitance of C0. What would be the new capacitance if the area of the two plates was doubled, and the plate separation distance was quadrupled? Write the expression and show solutions.
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.
Chapter 26 Solutions
PHYSICS 1250 PACKAGE >CI<
Ch. 26 - A capacitor stores charge Q at a potential...Ch. 26 - Many computer keyboard buttons are constructed of...Ch. 26 - Two capacitors are identical. They can be...Ch. 26 - You have three capacitors and a battery. In which...Ch. 26 - If you have ever tried to hang a picture or a...Ch. 26 - A fully charged parallel-plate capacitor remains...Ch. 26 - By what factor is the capacitance of a metal...Ch. 26 - An electronics technician wishes to construct a...Ch. 26 - A parallel-plate capacitor is connected to a...Ch. 26 - If three unequal capacitors, initially uncharged,...
Ch. 26 - Assume a device is designed to obtain a large...Ch. 26 - (i) What happens to the magnitude of the charge...Ch. 26 - A capacitor with very large capacitance is in...Ch. 26 - A parallel-plate capacitor filled with air carries...Ch. 26 - (i) A battery is attached to several different...Ch. 26 - A parallel-plate capacitor is charged and then is...Ch. 26 - (i) Rank the following five capacitors from...Ch. 26 - True or False? (a) From the definition of...Ch. 26 - You charge a parallel-plate capacitor, remove it...Ch. 26 - (a) Why is it dangerous to touch the terminals of...Ch. 26 - Assume you want to increase the maximum operating...Ch. 26 - If you were asked to design a capacitor in which...Ch. 26 - Prob. 26.4CQCh. 26 - Explain why the work needed to move a particle...Ch. 26 - An air-filled capacitor is charged, then...Ch. 26 - The sum of the charges on both plates of a...Ch. 26 - Because the charges on the plates of a...Ch. 26 - (a) When a battery is connected to the plates of a...Ch. 26 - Two conductors having net charges of +10.0 C and...Ch. 26 - (a) How much charge is on each plate of a 4.00-F...Ch. 26 - An air-filled parallel-plate capacitor has plates...Ch. 26 - A 50.0-in length of coaxial cable has an inner...Ch. 26 - (a) Regarding (lie Earth and a cloud layer 800 m...Ch. 26 - When a potential difference of 150 V is applied to...Ch. 26 - Prob. 26.8PCh. 26 - An air-filled capacitor consists of two parallel...Ch. 26 - A variable air capacitor used in a radio tuning...Ch. 26 - An isolated, charged conducting sphere of radius...Ch. 26 - Review. A small object of mass m carries a charge...Ch. 26 - Two capacitors, C1 = 5.00 F and C2 = 12.0 F, are...Ch. 26 - What If? The two capacitors of Problem 13 (C1 =...Ch. 26 - Find the equivalent capacitance of a 4.20-F...Ch. 26 - Prob. 26.16PCh. 26 - According to its design specification, the timer...Ch. 26 - Why is the following situation impossible? A...Ch. 26 - For the system of four capacitors shown in Figure...Ch. 26 - Three capacitors are connected to a battery as...Ch. 26 - A group of identical capacitors is connected first...Ch. 26 - (a) Find the equivalent capacitance between points...Ch. 26 - Four capacitors are connected as shown in Figure...Ch. 26 - Consider the circuit shown in Figure P26.24, where...Ch. 26 - Find the equivalent capacitance between points a...Ch. 26 - Find (a) the equivalent capacitance of the...Ch. 26 - Two capacitors give an equivalent capacitance of...Ch. 26 - Two capacitors give an equivalent capacitance of...Ch. 26 - Consider three capacitors C1, C2. and C3 and a...Ch. 26 - The immediate cause of many deaths is ventricular...Ch. 26 - A 12.0-V battery is connected to a capacitor,...Ch. 26 - A 3.00-F capacitor is connected to a 12.0-V...Ch. 26 - As a person moves about in a dry environment,...Ch. 26 - Two capacitors, C1 = 18.0 F and C2 = 36.0 F, are...Ch. 26 - Two identical parallel-plate capacitors, each with...Ch. 26 - Two identical parallel-plate capacitors, each with...Ch. 26 - Two capacitors, C1 = 25.0 F and C2 = 5.00 F, are...Ch. 26 - A parallel-plate capacitor has a charge Q and...Ch. 26 - Review. A storm cloud and the ground represent the...Ch. 26 - Consider two conducting spheres with radii R1 and...Ch. 26 - Review. The circuit in Figure P26.41 (page 804)...Ch. 26 - A supermarket sells rolls of aluminum foil,...Ch. 26 - (a) How much charge can be placed 011 a capacitor...Ch. 26 - The voltage across an air-filled parallel-plate...Ch. 26 - Determine (a) the capacitance and (b) the maximum...Ch. 26 - A commercial capacitor is to be constructed as...Ch. 26 - A parallel-plate capacitor in air has a plate...Ch. 26 - Each capacitor in the combination shown in Figure...Ch. 26 - A 2.00-nF parallel-plate capacitor is charged to...Ch. 26 - A small rigid object carries positive and negative...Ch. 26 - An infinite line of positive charge lies along the...Ch. 26 - A small object with electric dipole moment p is...Ch. 26 - The general form of Gausss law describes how a...Ch. 26 - Find the equivalent capacitance of' the group of...Ch. 26 - Four parallel metal plates P1, P2, P3, and P4,...Ch. 26 - For (he system of four capacitors shown in Figure...Ch. 26 - A uniform electric field E = 3 000 V/m exists...Ch. 26 - Two large, parallel metal plates, each of area A,...Ch. 26 - A parallel-plate capacitor is constructed using a...Ch. 26 - Why is the following situation impossible? A...Ch. 26 - Prob. 26.61APCh. 26 - A parallel-plate capacitor with vacuum between its...Ch. 26 - A 10.0-F capacitor is charged to 15.0 V. It is...Ch. 26 - Assume that the internal diameter of the...Ch. 26 - Two square plates of sides are placed parallel to...Ch. 26 - (a) Two spheres have radii a and b, and their...Ch. 26 - A capacitor of unknown capacitance has been...Ch. 26 - A parallel-plate capacitor of plate separation d...Ch. 26 - Prob. 26.69APCh. 26 - Example 25.1 explored a cylindrical capacitor of...Ch. 26 - To repair a power supply for a stereo amplifier,...Ch. 26 - The inner conductor of a coaxial cable has a...Ch. 26 - Some physical systems possessing capacitance...Ch. 26 - Consider two long, parallel, and oppositely...Ch. 26 - Determine the equivalent capacitance of the...Ch. 26 - A parallel-plate capacitor with plates of area LW...Ch. 26 - Calculate the equivalent capacitance between...Ch. 26 - A capacitor is constructed from two square,...
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
- 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_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_forwardA spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. Tire inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor, (a) What is the capacitance of the capacitor? tb) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?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_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_forward(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength of dry air, which is 3.00106 V/m, if the plates are separated by 2.00 mm and a potential difference of 5.010V is applied? (b) How close together can the plates be with this applied voltage?arrow_forward
- 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 capacitor has parallel plates of area 12 cm2 separated by 2.0 mm. The space between the plates is filled with polystyrene, (a) Find the maximum permissible voltage across the capacitor to avoid dielectric breakdown, (b) When the voltage equals the value found in part (a), find the surface charge density on the surface of the dielectric.arrow_forwardA parallel-plate capacitor has charge of magnitude 9.00F on each plate and capacitance 3.00F when there is air between the plates. The plates are separated by 2.00 mm. With the charge on the plates kept constant, a dielectric with =5 . is inserted between the plates, completely filling the volume between the plates, (a) What is the potential difference between the plates of the capacitor, before and after the dielectric has been inserted? (b) What is the electrical field at the point midway between the plates before and after the dielectric is inserted?arrow_forward
- When a 360-nF air capacitor is connected to a power supply, the energy stored in the capacitor is 18.5J . While the capacitor is connected to the power supply, a slab of dielectric is insetted that completely fills die space between the plates. This increases the stored energy by 23.2J . (a) What is the potential difference between the capacitor plates? (b) What is die dielectric constant of the slab?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_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
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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