Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Textbook Question
Chapter 26, Problem 70PQ
For a system consisting of two identical negatively charged particles, sketch UE versus r and VE versus r. Comment on your graphs.
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Check out a sample textbook solutionChapter 26 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 26.2 - Complete the analogies by filling in the blanks,...Ch. 26.3 - Prob. 26.2CECh. 26.3 - A water molecule is made up of two hydrogen atoms...Ch. 26.4 - Match the topographical maps in Figure 26.15 with...Ch. 26.5 - Which term or phrase is a synonym for electric...Ch. 26.7 - If the contours in Figure 26.26 represent the...Ch. 26.9 - Prob. 26.7CECh. 26 - What does it mean when a force is negative? What...Ch. 26 - Review Return to Chapter 8 and the potential...Ch. 26 - Review A system consists of a planet and a star,...
Ch. 26 - Try to complete Table P26.4 from memory. If you...Ch. 26 - Try to complete Table P26.5 from memory. If you...Ch. 26 - Can you associate electric potential energy with...Ch. 26 - Consider the final arrangement of charged...Ch. 26 - Using the usual convention that the electric...Ch. 26 - FIGURE P26.8 A Find an expression for the electric...Ch. 26 - A hydrogen atom consists of an electron and a...Ch. 26 - What is the work that a generator must do to move...Ch. 26 - How far should a +3.0-C charged panicle be from a...Ch. 26 - A proton is fired from very far away directly at a...Ch. 26 - Four charged particles are at rest at the corners...Ch. 26 - FIGURE P26.14 Problems 14, 15, and 16. Four...Ch. 26 - Four charged particles are at rest at the corners...Ch. 26 - Eight identical charged particles with q = 1.00 nC...Ch. 26 - A conducting sphere with a radius of 0.25 m has a...Ch. 26 - The speed of an electron moving along the y axis...Ch. 26 - Figure P26.20 is a topographic map. a. Rank A, B,...Ch. 26 - At a point in space, the electric potential due to...Ch. 26 - Explain the difference between UE(r) = kQq/r and...Ch. 26 - Suppose a single electron moves through an...Ch. 26 - Two point charges, q1 = 2.0 C and q2 = 2.0 C, are...Ch. 26 - Separating the electron from the proton in a...Ch. 26 - Can a contour map help you visualize the electric...Ch. 26 - Prob. 27PQCh. 26 - Find the electric potential at the origin given...Ch. 26 - Prob. 29PQCh. 26 - Prob. 30PQCh. 26 - Prob. 31PQCh. 26 - Prob. 32PQCh. 26 - A source consists of three charged particles...Ch. 26 - Two identical metal balls of radii 2.50 cm are at...Ch. 26 - Figure P26.35 shows four particles with identical...Ch. 26 - Two charged particles with qA = 9.75 C and qB =...Ch. 26 - Two charged particles with q1 = 5.00 C and q2 =...Ch. 26 - Prob. 38PQCh. 26 - Prob. 39PQCh. 26 - A uniformly charged ring with total charge q =...Ch. 26 - A line of charge with uniform charge density lies...Ch. 26 - A line of charge with uniform charge density =...Ch. 26 - A Consider a thin rod of total charge Q and length...Ch. 26 - Figure P26.44 shows a rod of length = 1.00 m...Ch. 26 - The charge density on a disk of radius R = 12.0 cm...Ch. 26 - Prob. 46PQCh. 26 - In some region of space, the electric field is...Ch. 26 - A particle with charge 1.60 1019 C enters midway...Ch. 26 - Prob. 49PQCh. 26 - Prob. 50PQCh. 26 - Prob. 51PQCh. 26 - Prob. 52PQCh. 26 - Prob. 53PQCh. 26 - According to Problem 43, the electric potential at...Ch. 26 - The electric potential is given by V = 4x2z + 2xy2...Ch. 26 - The electric potential V(x, y, z) in a region of...Ch. 26 - Prob. 57PQCh. 26 - In three regions of space, the electric potential...Ch. 26 - Prob. 59PQCh. 26 - Prob. 60PQCh. 26 - The distance between two small charged spheres...Ch. 26 - Prob. 62PQCh. 26 - A glass sphere with radius 4.00 mm, mass 85.0 g,...Ch. 26 - Prob. 64PQCh. 26 - Two 5.00-nC charged particles are in a uniform...Ch. 26 - A 5.00-nC charged particle is at point B in a...Ch. 26 - A charged particle is moved in a uniform electric...Ch. 26 - Figure P26.68 shows three small spheres with...Ch. 26 - What is the work required to charge a spherical...Ch. 26 - For a system consisting of two identical...Ch. 26 - Figure P26.71 shows three charged particles...Ch. 26 - Problems 72, 73, and 74 are grouped. 72. A Figure...Ch. 26 - A Start with V=2k[(R2+x2)x] for the electric...Ch. 26 - A Review Consider the charged disks in Problem 72...Ch. 26 - A long thin wire is used in laser printers to...Ch. 26 - An electric potential exists in a region of space...Ch. 26 - A disk with a nonuniform charge density =ar2 has...Ch. 26 - An infinite number of charges with q = 2.0 C are...Ch. 26 - An infinite number of charges with |q| =2.0 C are...Ch. 26 - Figure P26.80 shows a wire with uniform charge per...Ch. 26 - Prob. 81PQ
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- Review. Two insulating spheres have radii r1 and r2, masses m1 and m2, and uniformly distributed charges q1 and q2. They are released from rest when their centers are separated by a distance d. (a) How fast is each moving when they collide? (b) What If? If the spheres were conductors, would their speeds be greater or less than those calculated in part (a)? Explain.arrow_forwardA long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of . (a) Find the electric field inside and outside the cylinder, (b) Find the electric potential inside and outside the cylinder, (c) Plot electric field and electric potential as a function of distance from the center of the rod.arrow_forwardReview. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and uniformly distributed charges 2.00 C and 3.00 C. They are released from rest when their centers are separated by 1.00 m. (a) How fast will each be moving when they collide? (b) What If? If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? Explain.arrow_forward
- (a) Would life be different if the electron were positively charged and the proton were negatively charged? (b) Does the choice of signs have any bearing on physical and chemical interactions? Explain your answers.arrow_forwardTwo 5.00-nC charged particles are in a uniform electric field with a magnitude of 625 N/C. Each of the particles is moved from point A to point B along two different paths, labeled in Figure P26.65. a. Given the dimensions in the figure, what is the change in the electric potential experienced by the particle that is moved along path 1 (black)? b. What is the change in the electric potential experienced by the particle that is moved along path 2 (red)? c. Is there a path between the points A and B for which the change in the electric potential is different from your answers to parts (a) and (b)? Explain. FIGURE P26.65 Problems 65, 66, and 67.arrow_forward(a) Find the potential difference VB required to stop an electron (called a slopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, Vp/Ve. The answer should be in terms of the proton mass mp and electron mass me.arrow_forward
- The surface charge density on a long straight metallic pipe is . What is the electric potential outside and inside the pipe? Assume the pipe has a diameter of 2a.arrow_forwardIn different experimental trials, an electron, a proton, or a doubly charged oxygen atom (O--), is fired within a vacuum tube. The particle's trajectory carries it through a point where the electric potential is 40.0 V and then through a point at a different potential. Rank each of the following cases according to the change in kinetic energy of the particle over this part of its flight from the largest increase to the largest decrease in kinetic energy. In your ranking, display any cases of equality, (a) An electron moves from 40.0 V to 60.0 V. (b) An electron moves front 40.0 V to 20.0 V. (c) A proton moves from 40.0 V to 20.0 V'. (d) A proton moves from 40.0 V to 10.0 V. (e) An O-- ion mines from 40.0 V to 60.0 V.arrow_forwardIn three regions of space, the electric potential is given by V(r)=0forrRV(r)=V04R2r2forRr2RV(r)=V0forr2R a. Plot V as a function of r. b. Find expressions for the electric field in all three regions. c. Plot E versus r in all three regions.arrow_forward
- (a) Find the potential difference VB required to stop an electron (called a slopping potential) moving with an initial speed of 2.85 107 m/s. (b) Would a proton traveling at the same speed require a greater or lesser magnitude potential difference? Explain. (c) Find a symbolic expression for the ratio of the proton stopping potential and the electron stopping potential, Vp/Ve. The answer should be in terms of the proton mass mp and electron mass me.arrow_forwardConsider the final arrangement of charged particles shown in Figure P26.7. What is the work necessary to build such an arrangement of particles, assuming they were originally very far from one another? FIGURE P26.7 Problems 7 and 28.arrow_forwardUse the electric field of a finite sphere with constant volume charge density to calculate the electric potential, throughout space. Then check your results by calculating the electric field from the potential.arrow_forward
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