Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 24, Problem 23P
Figure P24.23 shows several equipotential lines, each labeled by its potential in volts. The distance between the lines of the square grid represents 1.00 cm. (a) Is the magnitude of the field larger at A or at B? Explain how you can tell. (b) Explain what you can determine about
Figure P24.23
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25. A rod of length L (Fig. P24.25) lies along the x axis with its
left end at the origin. It has a nonuniform charge density
A = ax, where a is a positive constant. (a) What are the units
of a? (b) Calculate the electric potential at A.
y
B
b
A
L
Figure P24.25 Problems 25 and 26.
26. For the arrangement described in Problem 25, calculate the
S electric potential at point B, which lies on the perpendicu-
lar bisector of the rod a distance b above the x axis.
48. An electric dipole is located along the y axis as shown in Figure P24.48. The magnitude of its
electric dipole moment is defined as p= 2aq. (a) At a point P, which is far from the dipole (r >>
a), show that the electric potential is V =-
KePcos0
(b) Calculate the radial component E, and
the perpendicular component E, of the associated electric field. Note that E, =-(1/r)(@V/20). Do
these results seem reasonable for (c) 0 = 90° and 0°? (d) For r = 0? (e) For the dipole arrangement
shown in Figure P25.71, express V in terms of Cartesian coordinates using r =
(x² + y³)'/2 and
cos e =
o (f) Using these results and again taking r >> a, calculate the field
(x² + y?)2
components E, and E,
45. A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a
total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose
inner and outer radii are b and c as shown in Figure E24.45. We wish to understand completely the
electrical potential V(r) at all locations. Use the results of electric fields obtained in HW23. E1, (a)
Find V(r>c). (b) From this value V(r>c), find V(b
Chapter 24 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 24.1 - two points and are located within a region in...Ch. 24.2 - QUICK QUIZ 24.2 The labeled points in Figure 24.4...Ch. 24.3 - In Figure 24.8b, take q2, to be a negative source...Ch. 24.4 - In a certain region of space, the electric...Ch. 24 - How much work is done (by a battery, generator, or...Ch. 24 - (a) Find the electric potential difference Ve...Ch. 24 - Oppositely charged parallel plates are separated...Ch. 24 - Starting with the definition of work, prove that...Ch. 24 - An insulating rod having linear charge density =...Ch. 24 - Review. A block having mass m and charge + Q is...
Ch. 24 - Three positive charges are located at the corners...Ch. 24 - Two point charges Q1 = +5.00 nC and Q2 = 3.00 nC...Ch. 24 - You are working on a laboratory device that...Ch. 24 - Your roommate is having trouble understanding why...Ch. 24 - Four point charges each having charge Q are...Ch. 24 - The two charges in Figure P24.12 are separated by...Ch. 24 - Show that the amount of work required to assemble...Ch. 24 - Two charged particles of equal magnitude are...Ch. 24 - Three particles with equal positive charges q are...Ch. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Prob. 18PCh. 24 - How much work is required to assemble eight...Ch. 24 - Four identical particles, each having charge q and...Ch. 24 - It is shown in Example 24.7 that the potential at...Ch. 24 - Figure P24.22 represents a graph of the electric...Ch. 24 - Figure P24.23 shows several equipotential lines,...Ch. 24 - An electric field in a region of space is parallel...Ch. 24 - A rod of length L (Fig. P24.25) lies along the x...Ch. 24 - For the arrangement described in Problem 25,...Ch. 24 - A wire having a uniform linear charge density is...Ch. 24 - You are a coach for the Physics Olympics team...Ch. 24 - The electric field magnitude on the surface of an...Ch. 24 - Why is the following situation impossible? A solid...Ch. 24 - A solid metallic sphere of radius a carries total...Ch. 24 - Prob. 32PCh. 24 - A very large, thin, flat plate of aluminum of area...Ch. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - A long, straight wire is surrounded by a hollow...Ch. 24 - Prob. 37APCh. 24 - Prob. 38APCh. 24 - Prob. 39APCh. 24 - Why is the following situation impossible? You set...Ch. 24 - The thin, uniformly charged rod shown in Figure...Ch. 24 - A GeigerMueller tube is a radiation detector that...Ch. 24 - Review. Two parallel plates having charges of...Ch. 24 - When an uncharged conducting sphere of radius a is...Ch. 24 - A solid, insulating sphere of radius a has a...Ch. 24 - Prob. 46APCh. 24 - For the configuration shown in Figure P24.45,...Ch. 24 - An electric dipole is located along the y axis as...Ch. 24 - A disk of radius R (Fig. P24.49) has a nonuniform...Ch. 24 - Prob. 50CPCh. 24 - (a) A uniformly charged cylindrical shell with no...
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- FIGURE P26.14 Problems 14, 15, and 16. Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite?arrow_forwardFour charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?arrow_forwardProblems 72, 73, and 74 are grouped. 72. A Figure P26.72 shows a source consisting of two identical parallel disks of radius R. The x axis runs through the center of each disk. Each disk carries an excess charge uniformly distributed on its surface. The disk on the left has a total positive charge Q, and the disk on the right has a total negative charge Q. The distance between the disks is 3R, and point A is 2R from the positively charged disk. Find an expression for the electric potential at point A between the disks on the x axis. Approximate any square roots to three significant figures. FIGURE P26.72 Problems 72, 73, and 74.arrow_forward
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