WILEY PLUS ACCESS CODE
11th Edition
ISBN: 9781119459163
Author: Halliday
Publisher: WILEY
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Textbook Question
Chapter 25, Problem 73P
Figure 25-58 shows a four capacitor arrangement that is connected to a larger circuit at points A and B. The capacitances are C1 = 10 μF and C2 = C3 = C4 = 20 μF. the charge on capacitor 1 is 30 μC. What is the magnitude of the potential difference VA – VB?
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Figure 25-58 Problem 73.
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E = ae Trao + B/r + bo
where alpha (a), beta (ß), ao and bo are constants. Find an expression for its capacitance.
First, let us derive the potential difference ab between the two conductors. The potential difference is related to the electric field by:
Vob =
- S *Edr= - ["Edr
Calculating the antiderivative or indefinite integral,
Vab = (-aage"
o-r/ao + B
+ bo
By definition, the capacitance C is related to the charge and potential difference by:
C =
Evaluating with the upper and lower limits of integration for Vab, then simplifying:
C = Q/(
(erb/ao - eralao) + ß In(
) + bo (
))
Chapter 25 Solutions
WILEY PLUS ACCESS CODE
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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