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 32, Problem 24P
The magnitude of the electric field between the two circular parallel plates in Fig. 32-33 is E = (4.0 × 105) − (6.0 × 104t), with E in volts per meter and t in seconds. At t = 0,
Figure 32-33 Problem 24.
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Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rp has
charge -Q. The electric field E at a radial distance r from the central axis is given by the function:
E = aer/ao + B/r + bo
%|
where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance.
First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by:
Va
Edr=
Edr
Calculating the antiderivative or indefinite integral,
Vab = (-aaoe-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/(
(e-"b/ao - era/ao) + B In(
) + bo (
))
Chapter 32 Solutions
Fundamentals of Physics Extended
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Ch. 32 - Figure 32-25 represents three rectangular samples...Ch. 32 - Prob. 12QCh. 32 - Prob. 1PCh. 32 - Prob. 2PCh. 32 - Prob. 3PCh. 32 - Prob. 4PCh. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - GO Nonuniform electric flux. Figure 32-30 shows a...Ch. 32 - Prob. 9PCh. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - The magnitude of the electric field between the...Ch. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - GO Figure 32-35a shows the current i that is...Ch. 32 - Prob. 29PCh. 32 - Assume the average value of the vertical component...Ch. 32 - In New Hampshire the average horizontal component...Ch. 32 - Figure 32-37a is a one-axis graph along which two...Ch. 32 - SSM WWWIf an electron in an atom has an orbital...Ch. 32 - Prob. 34PCh. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 36PCh. 32 - Prob. 37PCh. 32 - Assume that an electron of mass m and charge...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Figure 32-39 gives the magnetization curve for a...Ch. 32 - Prob. 45PCh. 32 - You place a magnetic compass on a horizontal...Ch. 32 - SSM ILW WWW The magnitude of the magnetic dipole...Ch. 32 - The magnitude of the dipole moment associated with...Ch. 32 - SSMThe exchange coupling mentioned in Module 32-8...Ch. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 52PCh. 32 - Prob. 53PCh. 32 - Using the approximations given in Problem 61, find...Ch. 32 - Earth has a magnetic dipole moment of 8.0 1022...Ch. 32 - A charge q is distributed uniformly around a thin...Ch. 32 - A magnetic compass has its needle, of mass 0.050...Ch. 32 - Prob. 58PCh. 32 - Prob. 59PCh. 32 - Prob. 60PCh. 32 - SSMThe magnetic field of Earth can be approximated...Ch. 32 - Prob. 62PCh. 32 - Prob. 63PCh. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 65PCh. 32 - Prob. 66PCh. 32 - In Fig. 32-42, a parallel-plate capacitor is being...Ch. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 69PCh. 32 - Prob. 70PCh. 32 - Prob. 71PCh. 32 - Prob. 72PCh. 32 - SSM If an electron in an atom has orbital angular...Ch. 32 - Prob. 74PCh. 32 - Prob. 75PCh. 32 - What are the measured components of the orbital...
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