Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 26, Problem 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?

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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 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 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?

Chapter 26 Solutions

Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University

Ch. 26 - Prob. 6OQCh. 26 - Prob. 7OQCh. 26 - Prob. 8OQCh. 26 - Prob. 9OQCh. 26 - Prob. 10OQCh. 26 - Prob. 11OQCh. 26 - Prob. 12OQCh. 26 - Prob. 13OQCh. 26 - Prob. 14OQCh. 26 - Prob. 1CQCh. 26 - Prob. 2CQCh. 26 - Prob. 3CQCh. 26 - Explain why a dielectric increases the maximum...Ch. 26 - Prob. 5CQCh. 26 - Prob. 6CQCh. 26 - Prob. 7CQCh. 26 - Prob. 8CQCh. 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 - Prob. 3PCh. 26 - An air-filled parallel-plate capacitor has plates...Ch. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - When a potential difference of 150 V is applied to...Ch. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - Prob. 11PCh. 26 - Review. A small object of mass m carries a charge...Ch. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Find the equivalent capacitance of a 4.20-F...Ch. 26 - Given a 2.50-F capacitor, a 6.25-F capacitor, and...Ch. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - A group of identical capacitors is connected first...Ch. 26 - Prob. 22PCh. 26 - Four capacitors are connected as shown in Figure...Ch. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Two capacitors give an equivalent capacitance of...Ch. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - A 3.00-F capacitor is connected to a 12.0-V...Ch. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 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 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Determine (a) the capacitance and (b) the maximum...Ch. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - An infinite line of positive charge lies along the...Ch. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54APCh. 26 - Prob. 55APCh. 26 - Prob. 56APCh. 26 - A uniform electric field E = 3 000 V/m exists...Ch. 26 - Prob. 58APCh. 26 - Prob. 59APCh. 26 - Why is the following situation impossible? A...Ch. 26 - Prob. 61APCh. 26 - A parallel-plate capacitor with vacuum between its...Ch. 26 - Prob. 63APCh. 26 - Prob. 64APCh. 26 - Prob. 65APCh. 26 - (a) Two spheres have radii a and b, and their...Ch. 26 - Prob. 67APCh. 26 - A parallel-plate capacitor of plate separation d...Ch. 26 - Prob. 69APCh. 26 - Prob. 70APCh. 26 - To repair a power supply for a stereo amplifier,...Ch. 26 - Prob. 72CPCh. 26 - Prob. 73CPCh. 26 - Consider two long, parallel, and oppositely...Ch. 26 - Prob. 75CPCh. 26 - Prob. 76CPCh. 26 - Prob. 77CPCh. 26 - Prob. 78CP
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