Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 21, Problem 5Q
In Fig. 21-15, a central particle of charge −q is surrounded by two circular rings of charged particles. What are the magnitude and direction of the net electrostatic force on the central particle due to the other particles? (Hint: Consider symmetry.)
Figure 21-15 Question 5.
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Figure 21-29 Problem 18.
Figure 21-18 shows four situations in which particles of charge +q or -q are fixed in place. In each situation, the particles on the x axis are equidistant from the y axis. First, consider the middle particle in situation 1; the middle particle experiences an electrostatic force from each of the other two particles. (a) Are the magnitudes F of those forces the same or different? (b) Is the magnitude of the net force on the middle particle equal to, greater than, or less than 2F? (c) Do the x components of the two forces add or cancel?
(d) Do their y components add or cancel? (e) Is the direction of the net force on the middle particle that of the canceling components or the adding components? (f) What is the direction of that net force?
Now consider the remaining situations: What is the direction of the net force on the middle particle in (g) situation 2, (h) situation 3, and (i) situation 4? (In each situation, consider the symmetry of the charge distribution and determine the…
In Fig. 21-20, a central particle of charge 2q is surrounded by a square array of charged particles, separated by either distance d or d/2 along the perimeter of the square. What are the magnitude and direc- tion of the net electrostatic force on the central particle due to the other particles? (Hint: Consideration of symmetry can greatly reduce the amount of work required here.)
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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- 46 In Fig. 21-40, four particles are fixed along an x axis, separated by distances d = 2.00 cm. The charges are q1 = +2e, q2 - -e, q3 = +e, and q4 = +4e, with e = 1.60 x 10-19 Č. In unit-vector notation, what is the net electrostatic force on (a) particle 1 and (b) particle 2 due to the other particles? %3! Figure 21-40 Problem 46. %3Darrow_forwardThree nonconducting strips are bent to form arcs and, when assembled, they form part of a circle of radius r = 6.13 cm. The three strips have linear charge densities of ?1 = 89.0 nC/m, ?2 = −179 nC/m, and ?3 = 268 nC/m, respectively, and subtend angles of 60°, 120°, and 45°, respectively, at the center. (a) Determine the electric potential at the center of the circle of which the strips form a part. (b) You use a fourth nonconducting strip to close the circle. What should be the linear charge density on this strip if the potential at the center of the circle is to be zero?arrow_forward3 In Fig. 21-11, the particles have charges q, = -92 = 300 nC and 93 = -q4 = 200 nC, and distance a = 5.0 cm. What are the (a) magnitude and (b) angle (relative to the +x direction) of the net force on particle 3? %3! a 3arrow_forward
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- 1 Figure 21-11 shows (1) four situations in which five charged particles are (2) evenly spaced along an -e -e te -e te te te axis The charge values (3) are indicated except for te +e the central particle, which has the same charge in all (4) +e te four situations. Rank the situations according to the magnitude of the net electrostatic force on the central particle, greatest first. Figure 21-11 Question 1.arrow_forward*7 In Fig. 21-23, three charged particles lie on an x axis. Particles 1 and 2 are fixed in place. Particle 3 is free to move, but the net elec- Figure 21-23 Problems 7 and 40. trostatic force on it from particles 1 and 2 happens to be zero. If L23 = L12, what is the ratio ql92? -L12 L-arrow_forwardIn the figure an electron (e) is to be released from rest on the central axis of a uniformlý charged disk of radius R. The surface charge density on the disk is + 4.27 µC/m2. What is the magnitude of the electron's initial acceleration if it is released at a distance (a) R, (b) R/ 139, and (c) R/ 1270 from the center of the disk? (a) Number Units Units (b) Number Units (c) Numberarrow_forward
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