Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 26, Problem 16PQ
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 μC and q3 = q4 = −5.15 μC. 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 system’s kinetic energy?
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Chapter 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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- 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 as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.arrow_forwardA charged particle is moved in a uniform electric field between two points, A and B, as depicted in Figure P26.65. Does the change in the electric potential or the change in the electric potential energy of the particle depend on the sign of the charged particle? Consider the movement of the particle from A to B, and vice versa, and determine the signs of the electric potential and the electric potential energy in each possible scenario.arrow_forward
- At a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and the electric potential is 3.00 kV. (a) What is the distance to the particle? (b) What is the magnitude of the charge?arrow_forwardA line of charge with uniform charge density lies along the x axis from x = a to x = a. a. What is the magnitude of the electric potential at (0, y)? b. How much work is necessary to move a particle with charge q from very far away to (0, y)?arrow_forwardThe distance between two small charged spheres with charges qA = 8.35 C and qB = +4.90 C is 48.0 cm. a. What is the electric potential energy due to the two spheres? b. What is the electric potential halfway between the two spheres along the line connecting them?arrow_forward
- Two 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_forwardA 5.00-nC charged particle is at point B in a uniform electric field with a magnitude of 625 N/C (Fig. P26.65). What is the change in electric potential experienced by the charge if it is moved from B to A along a. path 1 and b. path 2?arrow_forwardTwo charged particles with q1 = 5.00 C and q2 = 3.00 C are placed at two vertices of an equilateral tetrahedron whose edges all have length s = 4.20 m (Fig. P26.37). Determine what charge q3 should be placed at the third vertex so that the total electric potential at the fourth vertex is 2.00 kV. FIGURE P26.37arrow_forward
- A line of charge with uniform charge density = 2.00 103 C/m lies along the x axis from x = 0.250 m to x = 0.250 m. a. What is the magnitude of the electric potential at (0, 1.000 m)? b. How much work is necessary to move a particle with a charge of 5.00 nC from very far away to (0, 1.000 m)?arrow_forwardFind the electric potential at the origin given the arrangement of charged particles shown in Figure P26.7. FIGURE P26.7 Problems 7 and 28.arrow_forwardA uniformly charged ring with total charge q = 3.00 C and radius R = 10.0 cm is placed with its center at the origin and oriented in the xy plane. What is the difference between the electric potential at the origin and the electric potential at the point (0, 0, 30.0 cm)?arrow_forward
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