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Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Textbook Question
Chapter 22, Problem 85P
For the data of Problem 70, assume that the charge q on the drop is given by q = ne, where n is an integer and e is the elementary charge. (a) Find n for each given value of q. (b) Do a linear regression fit of the values of q versus the values of n and then use that fit to find e.
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Students have asked these similar questions
What is the charge of q if location A is 2.40 m from the charge, location B is 4.5m away from the charge, and Vb-Va=45V?
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 (
))
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Chapter 22 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 22 - Figure 22-22 shows three arrangements of electric...Ch. 22 - Figure 22-23 shows two square arrays of charged...Ch. 22 - In Fig. 22-24, two particles of charge q are...Ch. 22 - Figure 22-25 shows four situations in which four...Ch. 22 - Figure 22-26 shows two charged particles fixed in...Ch. 22 - In Fig. 22-27, two identical circular...Ch. 22 - The potential energies associated with four...Ch. 22 - a In Checkpoint 4, if the dipole rotates from...Ch. 22 - Figure 22-28 shows two disks and a flat ring, each...Ch. 22 - In Fig. 22-29, an electron e travels through a...
Ch. 22 - In Fig. 22-30a, a circular plastic rod with...Ch. 22 - When three electric dipoles ire near each other,...Ch. 22 - Figure 22-32 shows three rods, each with the same...Ch. 22 - Figure 22-33 shows five protons that are launched...Ch. 22 - Sketch qualitatively the electric field lines both...Ch. 22 - In Fig. 22-34 the electric field lines on the left...Ch. 22 - SSM The nucleus of a plutonium-239 atom contains...Ch. 22 - Two charged particles are attached to an x axis:...Ch. 22 - SSM A charged particle produces an electric Held...Ch. 22 - What is the magnitude of a point charge that would...Ch. 22 - SSM ILW WWW In Fig. 22-35, the four particles form...Ch. 22 - GO In Fig. 22-36, the four particles are fixed in...Ch. 22 - GO Figure 22-37 shows two charged particles on an...Ch. 22 - GO Figure 22-38a shows two charged particles fixed...Ch. 22 - SSM Two charged particles are fixed to x axis:...Ch. 22 - GO Figure 22-39 shows an uneven arrangement of...Ch. 22 - GO Figure 22-40 shows a proton on the central...Ch. 22 - In Fig. 22-41, particle 1 of charge q1 = 5.00q and...Ch. 22 - In Fig. 22-42, the three particles are fixed in...Ch. 22 - Figure 22-43 shows a plastic ring of radius R =...Ch. 22 - Two charged beads are on the plastic ring in Fig....Ch. 22 - The electric field of an electric dipole along the...Ch. 22 - Figure 22-45 shows an electric dipole. What are...Ch. 22 - Equations 22-8 and 22-9 are approximations of the...Ch. 22 - SSM Electric quadrupole. Figure 22-46 shows a...Ch. 22 - Density, density, density. a A charge 300e is...Ch. 22 - Figure 22-47 shows two parallel nonconducting...Ch. 22 - A thin nonconducting rod with a uniform...Ch. 22 - Figure 22-49 shows three circular arcs centered on...Ch. 22 - GO ILW In Fig. 22-50, a thin glass rod forms a...Ch. 22 - GO In Fig, 22-51, two curved plastic rods, one of...Ch. 22 - Charge is uniformly distributed around a ring of...Ch. 22 - GO Figure 22-52a shows a nonconducting rod with a...Ch. 22 - GO Figure 22-53 shows two concentric rings, of...Ch. 22 - SSM ILW WWW In Fig. 22-54, a nonconducting rod of...Ch. 22 - GO In Fig. 22-55, positive charge q = 7.81 pC is...Ch. 22 - GO In Fig. 22-56, a semi-infinite nonconducting...Ch. 22 - A disk of radius 2.5 cm has a surface charge...Ch. 22 - SSM WWW At what distance along the central...Ch. 22 - A circular plastic disk with radius R = 2.00 cm...Ch. 22 - Suppose you design an apparatus in which a...Ch. 22 - Figure 22-58a shows a circular disk that is...Ch. 22 - In Millikans experiment, an oil drop of radius...Ch. 22 - GO An electron with a speed of 5.00 108 cm/s...Ch. 22 - SSM A charged cloud system produces an electric...Ch. 22 - Humid air breaks down its molecules become ionized...Ch. 22 - SSM An electron is released from rest in a uniform...Ch. 22 - An alpha particle the nucleus of a helium atom has...Ch. 22 - ILW An electron on the axis of an electric dipole...Ch. 22 - An electron is accelerated eastward at 1.80 ...Ch. 22 - SSM Beams of high-speed protons can be produced in...Ch. 22 - In Fig. 22-59, an electron e is to be released...Ch. 22 - A 10.0 g block with a charge of 8.00 10-5 C is...Ch. 22 - At some instant the velocity components of an...Ch. 22 - Assume that a honeybee is a sphere of diameter...Ch. 22 - An electron eaters a region of uniform electric...Ch. 22 - GO Two large parallel copper plates are 5.0 cm...Ch. 22 - GO In Fig. 22-61, an electron is shot at an...Ch. 22 - ILW A uniform electric field exists in a region...Ch. 22 - An electric dipole consists of charges 2e and -2e...Ch. 22 - SSM An electric dipole consisting of charges of...Ch. 22 - A certain electric dipole is placed in a uniform...Ch. 22 - How much work is required to turn an electric...Ch. 22 - A certain electric dipole is placed in a uniform...Ch. 22 - Find an expression for the oscillation frequency...Ch. 22 - a What is the magnitude of an electrons...Ch. 22 - A spherical water drop 1.20 m in diameter is...Ch. 22 - Three particles, each with positive charge Q, form...Ch. 22 - In Fig. 22-64a, a particle of charge Q produces an...Ch. 22 - A proton and an electron form two comers of an...Ch. 22 - A charge uniform linear density = 9.0 nC/m lies on...Ch. 22 - In Fig. 22-65, eight particles form a square in...Ch. 22 - Two particles, each with a charge of magnitude 12...Ch. 22 - The following table gives the charge seen by...Ch. 22 - A charge of 20 nC is uniformly distributed along a...Ch. 22 - An electron is constrained to the central axis of...Ch. 22 - SSM The electric field in an xy plane produced by...Ch. 22 - a What total excess charge q must the disk in Fig....Ch. 22 - In Fig. 22-66, particle 1 of charge 1.00 C,...Ch. 22 - In Fig. 22-67, an electric dipole swings from an...Ch. 22 - A particle of charge q1 is at the origin of an x...Ch. 22 - Two particles, each of positive charge q, are...Ch. 22 - A clock face has negative point charges q, 2q,...Ch. 22 - Calculate the electric dipole moment of an...Ch. 22 - An electric field E with an average magnitude of...Ch. 22 - A circular rod has a radius of curvature R = 9.00...Ch. 22 - SSM An electric dipole with dipole moment p= 3.00 ...Ch. 22 - In Fig. 22-68, a uniform, upward electric field E...Ch. 22 - For the data of Problem 70, assume that the charge...Ch. 22 - In Fig. 22-66, particle 1 of charge 2.00 pC,...Ch. 22 - In Fig. 22-69, particle 1 of charge q1 = 1.00pC...
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