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 21, Problem 51P
A charged nonconducting rod, with a length of 2.00 m and a cross-sectional area of 4.00 cm2, lies along the positive side of an x axis with one end at the origin. The volume charge density ρ is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if ρ is (a) uniform, with a value of −4.00 µC/m3, and (b) nonuniform, with a value given by ρ = bx2 where b = −2.00 µC/m5?
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A charged nonconducting rod, with a length of 2.00 m and a cross-sectional area of 4.00 cm2, lies along the positive side of an x axis with one end at the origin. The volume charge density r is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if r is (a) uniform, with a value of -4.00 mC/m3, and (b) nonuniform, with a value given by r = bx2, where b=-2.00 mC/m5?
A charged nonconducting rod has a length L of 2.0 m and a cross-sectional area A of 8.0
cm?; it is placed along the positive side of an x axis with one end at the origin. The
volume charge density p is the charge per unit volume, with the units of coulomb per
cubic meter.
a) How many excess electrons are on the rod if the rod's volume charge density pu is
uniform with a value of –10 µC/m³? How does that compare to the total number of
electrons you would estimate would be in the rod? (By compare, just a ballpark estimate-
to within several orders of magnitude, factors of ten).
b) What is an expression for the number of excess electrons on the rod if the rod's
volume charge is nonuniform and is given instead by pN=ax³ where a is a constant?
c) What value of a is necessary for the rod in part b to have the same number of excess
electrons as the rod in part a)?
A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the
linear charge density is a constant through the cylinder, the charge density within the cylinder changes
with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R.
Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine.
b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for
the constant p.
c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R.
d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.
Chapter 21 Solutions
Fundamentals of Physics Extended
Ch. 21 - Figure 21-11 shows 1 four situations in which five...Ch. 21 - Figure 21-12 shows three pairs of identical...Ch. 21 - Figure 21-13 shows four situations in which...Ch. 21 - Figure 21-14 shows two charged particles on an...Ch. 21 - In Fig. 21-15, a central particle of charge q is...Ch. 21 - A positively charged ball is brought close to an...Ch. 21 - Figure 21-16 shows three situations involving a...Ch. 21 - Figure 21-17 shows four arrangements of charged...Ch. 21 - Figure 21-18 shows four situations in which...Ch. 21 - In Fig. 21-19, a central particle of charge 2q is...
Ch. 21 - Figure 21-20 shows three identical conducting...Ch. 21 - Figure 21-21 shows four situations in which a...Ch. 21 - SSM ILW Of the charge Q initially on a tiny...Ch. 21 - Identical isolated conducting spheres 1 and 2 have...Ch. 21 - SSM What must be the distance between point charge...Ch. 21 - In the return stroke of a typical lightning bolt,...Ch. 21 - A particle of charge 3.00 106 C is 12.0 cm...Ch. 21 - ILW Two equally chained particles are held 3.2 ...Ch. 21 - In Fig. 21-23, three charged particles lie on an x...Ch. 21 - In Fig. 21-24, three identical conducting spheres...Ch. 21 - SSM WWW Two identical conducting spheres, fixed in...Ch. 21 - GO In Fig. 21-25, four particles form a square....Ch. 21 - ILW In Fig. 21-25, the particles have charges q1 =...Ch. 21 - Two particles are fixed on an x axis. Particle 1...Ch. 21 - GO In Fig. 21-26, particle 1 of charge l.0 C and...Ch. 21 - Three particles are fixed on an x axis. Particle 1...Ch. 21 - GO The charges and coordinates of two charged...Ch. 21 - GO In Fig. 21-27a, particle l of charge q1 and...Ch. 21 - In Fig.21-28a, particles 1 and 2 have charge 20.0...Ch. 21 - In Fig. 21-29a, three positively charged particles...Ch. 21 - SSM WWW In Fig. 21-26, particle 1 of charge q and...Ch. 21 - GO Figure 21-30a shows an arrangement of three...Ch. 21 - GO A nonconducting spherical shell, with an inner...Ch. 21 - GO Figure 21-31 shows an arrangement of four...Ch. 21 - GO In Fig. 21-32, particles 1 and 2 of charge q1 =...Ch. 21 - Two tiny, spherical water drops, with identical...Ch. 21 - ILW How many electrons would have to be removed...Ch. 21 - Prob. 26PCh. 21 - SSM The magnitude of the electrostatic force...Ch. 21 - A current of 0.300 A through your chest can send...Ch. 21 - GO In Fig. 21-33, particles 2 and 4, of charge e,...Ch. 21 - In Fig. 21-26, particles 1 and 2 are fixed in...Ch. 21 - ILW Earths atmosphere is constantly bombarded by...Ch. 21 - GO Figure 21-34a shows charged particles 1 and 2...Ch. 21 - Calculate the number of coulombs of positive...Ch. 21 - GO Figure 21-35 shows electrons 1 and 2 on an x...Ch. 21 - SSM In crystals of the salt cesium chloride,...Ch. 21 - Electrons and positrons are produced by the...Ch. 21 - Prob. 37PCh. 21 - GO Figure 21-37 shows four identical conducting...Ch. 21 - SSM In Fig. 21-38, particle 1 of charge 4e is...Ch. 21 - In Fig, 21-23, particles 1 and 2 are fixed in...Ch. 21 - a What equal positive charges would have to be...Ch. 21 - In Fig. 21-39, two tiny conducting balls of...Ch. 21 - a Explain what happens to the balls of Problem 42...Ch. 21 - SSM How far apart must two protons be if the...Ch. 21 - How many megacoulombs of positive charge are in...Ch. 21 - In Fig. 21-40, four particles are fixed along an x...Ch. 21 - GO Point charges of 6.0 C and 4.0 C are placed on...Ch. 21 - In Fig. 21-41, three identical conducting spheres...Ch. 21 - A neutron consists of ore up quark of charge 2e/3...Ch. 21 - Figure 21-42 shows a long, nonconducting, massless...Ch. 21 - A charged nonconducting rod, with a length of 2.00...Ch. 21 - A particle of charge Q is Fixed at the origin of...Ch. 21 - What would be the magnitude of the electrostatic...Ch. 21 - A charge of 6.0 C is to be split into two parts...Ch. 21 - Of the charge Q on a tiny sphere, a fraction is...Ch. 21 - If a cat repeatedly rubs against your cotton...Ch. 21 - We know that the negative charge on the electron...Ch. 21 - In Fig, 21-26, particle 1 of charge 80.0C and...Ch. 21 - What is the total charge in coulombs of 75.0 kg of...Ch. 21 - GO In Fig. 21-43, six charged particles surround...Ch. 21 - Three charged particles form a triangle: particle...Ch. 21 - SSM In Fig. 21-44, what are the a magnitude and b...Ch. 21 - Two point charges of 30 nC and 40 nC are held...Ch. 21 - Two small, positively charged spheres have a...Ch. 21 - The initial charges on the three identical metal...Ch. 21 - An electron is in a vacuum near Earths surface and...Ch. 21 - SSM In Fig. 21-26, particle 1 of charge 5.00q and...Ch. 21 - Two engineering students, John with a mass of 90...Ch. 21 - In the radioactive decay of Eq. 21-13, a 238U...Ch. 21 - In Fig. 21-25, four particles form a square. The...Ch. 21 - In a spherical metal shell of radius R, an...Ch. 21 - An electron is projected with an initial speed vl...Ch. 21 - In an early model of the hydrogen atom the Bohr...Ch. 21 - A100 W lamp has a steady current of 0.83 A in its...Ch. 21 - The charges of an electron and a positron are e...
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