Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 25, Problem 55P
The space between two concentric
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The space between two concentric conducting spherical shells of radii b = 2.20 cm and a = 1.10 cm is filled witha substance of
dielectric constant K = 16.5. A potential difference V = 48.0 V is applied across the inner and outer shells. Determine (a) the
capacitance of the device, (b) the free charge q on the inner shell, and (c) the charge q induced along the surface of the inner shell.
(a) Number
i
Units
(b) Number
i
Units
(c) Number
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The space between two concentric conducting spherical shells of radii b= 1.80 cm and a = 1.40 cm is filled with a substance of
dielectric constant K- 17.0. A potential difference V = 48.0 V is applied across the inner and outer shells. Determine (a) the
capacitance of the device, (b) the free charge q on the inner shell, and (c) the charge q induced along the surface of the inner shell.
(a) Number
Units
(b) Number
Units
(c) Number
Units
The space between two concentric conducting spherical shells of radii b = 2.20 cm and a = 1.10 cm is filled with a substance of
dielectric constant K = 16.5. A potential difference V = 48.0 V is applied across the inner and outer shells. Determine (a) the
capacitance of the device, (b) the free charge q on the inner shell, and (c) the charge g induced along the surface of the inner shell.
(a) Number
4.05E-1
Units
(b) Number
1.94E-8
Units
(c) Number
1.82E-8
Units
C
Chapter 25 Solutions
Fundamentals of Physics Extended
Ch. 25 - Figure 25-18 shows plots of charge versus...Ch. 25 - What is Ceq of three capacitors, each of...Ch. 25 - a In Fig. 25-19a are capacitors 1 and 3 in series?...Ch. 25 - Figure 25-20 shows three circuits, each consisting...Ch. 25 - Initially, a single capacitance C1 is wired to a...Ch. 25 - Repeat Question 5 for C2 added in series rather...Ch. 25 - For each circuit in Fig. 25-21, are the capacitors...Ch. 25 - Figure 25-22 shows an open switch, a battery of...Ch. 25 - A parallel-plate capacitor is connected to a...Ch. 25 - When a dielectric slab is inserted between the...
Ch. 25 - You are to connect capacitances C1 and C2, with...Ch. 25 - The two metal objects in Fig. 25-24 have net...Ch. 25 - The capacitor in Fig. 25-25 has a capacitance of...Ch. 25 - SSM A parallel-plate capacitor has circular plates...Ch. 25 - The plates of spherical capacitor have radii 38.0...Ch. 25 - What is the capacitance of a drop that results...Ch. 25 - You have two flat metal plates, each of area...Ch. 25 - If an uncharged parallel-plate capacitor...Ch. 25 - How many 1.00 F capacitors must be connected in...Ch. 25 - Each of the uncharged capacitors in Fig. 25-27 has...Ch. 25 - In Fig. 25-28, find the equivalent capacitance of...Ch. 25 - In Fig. 25-29, find the equivalent capacitance of...Ch. 25 - Two parallel-plate capacitors, 6.0 F each, are...Ch. 25 - SSM ILW A 100 pF capacitor is charged to a...Ch. 25 - GO In Fig. 25-30, the battery has a potential...Ch. 25 - GO In Fig. 25-31, a 20.0 V battery is connected...Ch. 25 - Plot in Fig. 25-32a gives the charge q that can be...Ch. 25 - GO In Fig. 25-29, a potential difference of V =...Ch. 25 - Figure 25-33 shows a circuit section of four...Ch. 25 - GO In Fig. 25-34, the battery has potential...Ch. 25 - Figure 25-35 shows a variable "airgap capacitor...Ch. 25 - SSM WWWIn Fig. 25-36, capacitances are charged C1...Ch. 25 - In Fig. 25-37, V = 10 V, C1 = 10 F, and C2 = C3 =...Ch. 25 - The capacitors in Fig. 25-38 are initially...Ch. 25 - GO Figure 25-39 represents two air-filled...Ch. 25 - GO In Fig. 25-40, two parallel-plate capacitors...Ch. 25 - GO Capacitor 3 in Fig. 25-41a is a variable...Ch. 25 - GO Figure 25-42 shows a 12.0 V battery and four...Ch. 25 - GO Figure 25-43 displays a 12.0 V battery and 3...Ch. 25 - What capacitance is required to store an energy of...Ch. 25 - How much energy is stored in 1.00 m3of air due to...Ch. 25 - SSMA 2.0 F capacitor and a 4.0 F capacitor are...Ch. 25 - A parallel-plate air-filled capacitor having area...Ch. 25 - A charged isolated metal sphere of diameter 10 cm...Ch. 25 - In Fig. 25-28, a potential difference V = 100 V is...Ch. 25 - Assume that a stationary electron is a point of...Ch. 25 - As a safety engineer, you must evaluate the...Ch. 25 - SSM ILW WWW The parallel plates in a capacitor,...Ch. 25 - In Fig. 25-29, a potential difference V = 100 V is...Ch. 25 - Go In Fig. 25-45, C1 = 10.0 F, C2= 20.0 F, and C3...Ch. 25 - An air-filled parallel-plate capacitor has a...Ch. 25 - SSMA coaxial cable used in a transmission line has...Ch. 25 - A parallel-plate air-filled capacitor has a...Ch. 25 - Given a 7.4 pF air-filled capacitor, you are asked...Ch. 25 - You are asked to construct a capacitor having a...Ch. 25 - A certain parallel-plate capacitor is filled with...Ch. 25 - In Fig. 25-46, how much charge is stored on the...Ch. 25 - SSM ILWA certain substance has a dielectric...Ch. 25 - Figure 25-47 shows a parallel-plate capacitor with...Ch. 25 - Figure 25-48 shows a parallel-plate capacitor with...Ch. 25 - Go Figure 25-49 shows a parallel-plate capacitor...Ch. 25 - SSM WWWA parallel-plate capacitor has a...Ch. 25 - For the arrangement of Fig. 25-17, suppose that...Ch. 25 - A parallel-plate capacitor has plates of area 0.12...Ch. 25 - Two parallel plates of area 100 cm2 are given...Ch. 25 - The space between two concentric conducting...Ch. 25 - In Fig. 25-50, the battery potential difference V...Ch. 25 - SSMIn Fig. 25-51, V = 9.0 V, C1 = C2= 30 F, and C3...Ch. 25 - a If C = 50 F in Fig. 25-52, what is the...Ch. 25 - In Fig.25-53, V = 12 V, C1 = C4 = 2.0 F, C2 = 4.0...Ch. 25 - The chocolate crumb mystery. This troy begins with...Ch. 25 - Figure 25-54 shows capacitor 1 C1 = 8.00 F,...Ch. 25 - Two air-filled, parallel-plate capacitors are to...Ch. 25 - Two parallel-plate capacitors, 6.0 F each, are...Ch. 25 - GO In Fig. 25-55, V = 12 V, C1 = C5 = C6 = 6.0 F,...Ch. 25 - SSM In Fig.25-56, the parallel-plate capacitor of...Ch. 25 - A cylindrical capacitor has radii a and b as in...Ch. 25 - A capacitor of capacitance C1 = 6.00 F is...Ch. 25 - Repeat Problem 67 for the same two capacitors but...Ch. 25 - A certain capacitor is charged to a potential...Ch. 25 - Aslab of copper of thickness b = 2.00 mm is thrust...Ch. 25 - Repeat Problem 70, assuming that a potential...Ch. 25 - A potential difference of 300 V is applied to a...Ch. 25 - Figure 25-58 shows a four capacitor arrangement...Ch. 25 - You have two plates of copper, a sheet of mica...Ch. 25 - A capacitor of unknown capacitance Cis charged to...Ch. 25 - A 10 V battery is connected to a series of n...Ch. 25 - SSM In Fig. 25-59, two parallel-plate capacitors A...Ch. 25 - You have many 2.0F capacitors, each capable of...Ch. 25 - A parallel-plate capacitor has charge q and plate...Ch. 25 - A capacitor is charged until its stored energy is...
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- A particle with charge 1.60 1019 C enters midway between two charged plates, one positive and the other negative. The initial velocity of the particle is parallel to the plates and along the midline between them (Fig. P26.48). A potential difference of 300.0 V is maintained between the two charged plates. If the lengths of the plates are 10.0 cm and they are separated by 2.00 cm, find the greatest initial velocity for which the particle will not be able to exit the region between the plates. The mass of the particle is 12.0 1024 kg. FIGURE P26.48arrow_forwardAccording to UE=12C(V)2 (Eq. 27.3), a greater capacitance means more energy is stored by the capacitor, but according to UE = Q2/2C (Eq. 27.2), a greater capacitance means less energy is stored. How can both of these equations be correct?arrow_forwardFind an expression for the electric field between the two conducting disks in Figure P27.61. Make sure your expression is general enough to include the possibility of a dielectric between the disks. Check your answer using the information given in Section 27-8. Figure P27.61arrow_forward
- (i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of equality, (a) a 20-F capacitor with a 4-V potential difference between its plates (b) a 30-F capacitor with charges of magnitude 90 C on each plate (c) a capacitor with charges of magnitude 80 C on its plates, differing by 2 V in potential. (d) a 10-F capacitor storing energy 125 J (e) a capacitor storing energy 250 J with a 10-V potential difference (ii) Rank the same capacitors in part (i) from largest to smallest according to the potential difference between the plates, (iii) Rank the capacitors in part (i) in the order of the magnitudes of the charges on their plates, (iv) Rank the capacitors in part (i) in the order of the energy they store.arrow_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_forwardWhat If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.arrow_forward
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- A uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains an energy equal to 1.00 107 J? Express your answer in cubic meters and in liters.arrow_forward(a) Regarding (lie Earth and a cloud layer 800 m above the Earth as the plates of a capacitor, calculate the capacitance of the Earth-cloud layer system. Assume the cloud layer has an area of 1.00 km2 and the air between the cloud and the ground is pure and dry'. Assume charge builds up on the cloud and on the ground until a uniform electric field of 3.00 106 N/C throughout the space between them makes the air break down and conduct electricity as a lightning bolt, (b) What is the maximum charge the cloud can hold?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
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