University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 24.6, Problem 24.6TYU
A single point charge q is embedded in a very large block of dielectric of dielectric constant K. At a point inside the dielectric a distance r from the point charge, what is the magnitude of the electric field? (i) q/4πϵ0r2; (ii) Kq/4πϵ0r2; (iii) q/4πKϵ0r2; (iv) none of these.
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A spherical capacitor is composed of two concentric conducting spheres, one of radius a and the other of radius c (c > a). In addition, between the two conductors there is a spherical shell of dielectric material (relative permittivity/relative dielectric constant ) with inner radius b (c > b > a) and outer radius c. The charge on the inner conductor is +Q. The charge on the outer conductor is -Q.
(a) Make a sketch of the situation, indicating the relevant dimensions.
(b) Determine the magnitude of the electric field E at radius r for a < r < b.
(c) Determine the magnitude of the electric field E at radius r for b < r < c.
(d) What is the (induced) surface charge density on the inner surface of the dielectric.
(e) Sketch the radial component of the electric field versus r .
(f) Sketch the electrostatic potential versus r .
(g)Calculate the potential difference between the conductor at r = a and that at r = c.
(h) What is the capacitance of this capacitor?
(a) How much charge can be placed on a capacitor with air between the plates before it breaks down if the area of each plate is 3.00 cm2? (Assume air has a dielectric strength of 3.00 x 106 v/m and dielectric
constant of 1.00.)
nC
(b) Find the maximum charge if nylon is used between the plates instead of air. (Assume nylon has a dielectric strength of 14.0 × 106 V/m and dielectric constant of 3.4.)
nC
Chapter 24 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (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...
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