Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Textbook Question
Chapter 22, Problem 22EAP
A small plastic bead has been charged to —15 nC. What are the magnitude and direction of the acceleration of (a) a proton
and (b) an electron that is 1.0 cm from the center of the bead?
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A 148 mg plastic bead has a radius of 344 μm and is charged by the addition of 1.38×1010 excess electrons. You may assume that the excess electrons are spread uniformly throughout the bead. What electric field strength will cause the bead to hang suspended in the air?
The figure below shows three small, charged spheres, all lying along the horizontal axis. Sphere A, at left, has a 6.35 nC charge. Sphere B has a 1.30 nC charge and is 3.00 cm to the
right of A. Sphere C has a -2.75 nC charge and is 2.00 cm to the right of B.
3.00 cm
+2.00 cm-
(a) What is the magnitude (in N/C) of the electric field at a point 2.00 cm to the right of A?
Draw the directions of the electric field vectors, due to each of the three charges, at the point to the right of A. What are the signs of the charges? How does this affect the
directions of the field vectors? What is the magnitude of the electric field due to a point charge? Add the fields as vectors to get the net field. Be careful with units and signs.
N/C
(b) A fourth sphere with a charge of –8.00 nC is placed at this point. What are the magnitude (in N) and direction of the net electric force on it?
magnitude
From part (a), what is the electric field at the given point? If we place a charged particle at this point,…
Chapter 22 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 22 - l. Can an insulator be charged? If so, how would...Ch. 22 - Can a conductor be charged? If so, how would you...Ch. 22 - Four lightweight balls A, B, C, and D are...Ch. 22 - Charged plastic and glass rods hang by threads. a....Ch. 22 - A lightweight metal ball hangs by a thread. When a...Ch. 22 - Prob. 6CQCh. 22 - Prob. 7CQCh. 22 - The two oppositely charged metal spheres in FIGURE...Ch. 22 - Metal sphere A in FIGURE Q22.9 has 4 units of...Ch. 22 - Prob. 10CQ
Ch. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - Reproduce FIGURE Q22.13 on your paper. Then draw a...Ch. 22 - Prob. 14CQCh. 22 - The electric force on a charged particle in an...Ch. 22 - A glass rod is charged to +8.0 nC by rubbing. a....Ch. 22 - Prob. 2EAPCh. 22 - 3. A plastic rod that has been charged to —15 nC...Ch. 22 - A glass rod that has been charged to + 12 nC...Ch. 22 - Prob. 5EAPCh. 22 - Prob. 6EAPCh. 22 - Prob. 7EAPCh. 22 - A linear accelerator uses alternating electric...Ch. 22 - Prob. 9EAPCh. 22 - Two neutral metal spheres on wood stands are...Ch. 22 - Prob. 11EAPCh. 22 - You have two neutral metal spheres on wood stands....Ch. 22 -
13. Two 1.0 kg masses are 1.0 m apart (center...Ch. 22 - Two small plastic spheres each have a mass of 2.0...Ch. 22 - Prob. 15EAPCh. 22 - Two protons are 2.0 fm apart. What is the...Ch. 22 - What is the net electric force on charge A in...Ch. 22 - What is the net electric force on charge B in...Ch. 22 - What is the force F on the 1.0 nC charge in FIGURE...Ch. 22 - What is the force on the 1.0nC charge in figure...Ch. 22 - Object A, which has been charged to +4.0 nC, is at...Ch. 22 - A small plastic bead has been charged to —15 nC....Ch. 22 - A 2.0 g plastic bead charged to —4.0 nC and a 4.0...Ch. 22 - Two positive point charges q and 4q are at x = O...Ch. 22 - A massless spring is attached to a support at one...Ch. 22 - What are the strength and direction of the...Ch. 22 - The electric field at a point in space is E =...Ch. 22 - Prob. 28EAPCh. 22 - What magnitude charge creates a 1.0 N/C electric...Ch. 22 - Prob. 30EAPCh. 22 - Prob. 31EAPCh. 22 - A + 12 nC charge is located at the origin. a. What...Ch. 22 - A —12 nC charge is located at (x, y) = (1.0 cm, 0...Ch. 22 - A 0.10 g honeybee acquires a charge of +23 pC...Ch. 22 - Prob. 35EAPCh. 22 - 36. Two 1.0 g spheres are charged equally and...Ch. 22 - 37. The nucleus of a 125Xe atom (an isotope of...Ch. 22 - Prob. 38EAPCh. 22 - Prob. 39EAPCh. 22 - Objects A and B are both positively charged. Both...Ch. 22 - What is the force F on the —10 nC charge in FIGURE...Ch. 22 - What is the force F on the —10nC charge in FIGURE...Ch. 22 - 43. What is the force on the 5.0 nC charge in...Ch. 22 - Prob. 44EAPCh. 22 - What is the force F on the 1.0 nC charge at the...Ch. 22 - What is the force F on the 1.0 nC charge at the...Ch. 22 - Prob. 47EAPCh. 22 - The net force on the 1.0 nC charge in FIGURE...Ch. 22 - Prob. 49EAPCh. 22 - A positive point charge Q is located at x=a and a...Ch. 22 - Prob. 51EAPCh. 22 - FIGURE P22.52 shows three charges and the net...Ch. 22 - Prob. 53EAPCh. 22 - Prob. 54EAPCh. 22 - You have two small, 2.0 g balls that have been...Ch. 22 - A 2.0 g metal cube and a 4.0 g metal cube are 6.0...Ch. 22 - Prob. 57EAPCh. 22 - Prob. 58EAPCh. 22 - Prob. 59EAPCh. 22 - Prob. 60EAPCh. 22 - Prob. 61EAPCh. 22 - Two 5.0 g point charges on 1.0-m-long threads...Ch. 22 - Prob. 63EAPCh. 22 - Prob. 64EAPCh. 22 - 65. A 10.0 nC charge is located at position (1.0...Ch. 22 - Prob. 66EAPCh. 22 - An electric field E = 100,000i N/C causes the 5.0...Ch. 22 - An electric field E = 200,000i N/C causes the...Ch. 22 - Prob. 69EAPCh. 22 - In Problems 69 through 72 you are given the...Ch. 22 - Prob. 71EAPCh. 22 - Prob. 72EAPCh. 22 - Prob. 73EAPCh. 22 - Three 3.0 g balls are tied to 80-cm-long threads...Ch. 22 - 75. IN ne identical small spheres shown in FIGURE...Ch. 22 - 76. The force on the -1.0 nC charge is as shown in...Ch. 22 - 77. In Section 22.3 we claimed that a charged...
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- aA plastic rod of length = 24.0 cm is uniformly charged with a total charge of +12.0 C. The rod is formed into a semicircle with its center at the origin of the xy plane (Fig. P24.34). What are the magnitude and direction of the electric field at the origin? Figure P24.34arrow_forwardWhy is the following situation impossible? A solid copper sphere of radius 15.0 cm is in electrostatic equilibrium and carries a charge of 40.0 nC. Figure P24.30 shows the magnitude of the electric field as a function of radial position r measured from the center of the sphere. Figure P24.30arrow_forwardA circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forward
- Find an expression for the magnitude of the electric field at point A mid-way between the two rings of radius R shown in Figure P24.30. The ring on the left has a uniform charge q1 and the ring on the right has a uniform charge q2. The rings are separated by distance d. Assume the positive x axis points to the right, through the center of the rings. FIGURE P24.30 Problems 30 and 31.arrow_forwardEight small conducting spheres with identical charge q = 2.00 C are placed at the corners of a cube of side d = 0.500 m (Fig. P23.75). What is the total force on the sphere at the origin (sphere A) due to the other seven spheres? Figure P23.75arrow_forwardFour equally charged particles with charge q are placed at the comers of a square with side length L, as shown in Figure P23.51. A fifth charged particle with charge Q is placed at the center of the square so that the entire system of charges is in static equilibrium. What are the magnitude and sign of the charge Q? Figure P23.51arrow_forward
- In nuclear fission, a nucleus of uranium-238, which contains 92 protons, can divide into two smaller spheres, each having 46 protons and a radius of 5.90 1015 m. What is the magnitude of the repulsive electric force pushing the two spheres apart?arrow_forwardIn Figure P24.49, a charged particle of mass m = 4.00 g and charge q = 0.250 C is suspended in static equilibrium at the end of an insulating thread that hangs from a very long, charged, thin rod. The thread is 12.0 cm long and makes an angle of 35.0 with the vertical. Determine the linear charge density of the rod. FIGURE P24.49arrow_forwardA particle with charge q on the negative x axis and a second particle with charge 2q on the positive x axis are each a distance d from the origin. Where should a third particle with charge 3q be placed so that the magnitude of the electric field at the origin is zero?arrow_forward
- A point charge +2Q is at the origin and a point charge Q is located along the x axis at x = d as in Figure P22.11. Find a symbolic expression for the net force on a third point charge +Q located along the y axis at y = d. Figure P22.11arrow_forwardA point charge of 4.00 nC is located at (0, 1.00) m. What is the x component of the electric field due to the point charge at (4.00, 2.00) m? (a) 1.15 N/C (b) 0.864 N/C (c) 1.44 N/C (d) 1.15 N/C (e) 0.864 N/Carrow_forwarda. Figure 24.22A shows a rod of length L and radius R with excess positive charge Q. The excess charge is uniformly distributed over the entire outside surface of the rod. Write an expression for the surface charge density . Write an expression in terms of for the amount of charge dq contained in a small segment of the rod of length dx. b. Figure 24.22B shows a very narrow rod of length L with excess positive charge Q. The rod is so narrow compared to its length that its radius is negligible and the rod is essentially one-dimensional. The excess charge is uniformly distributed over the length of the rod. Write an expression for the linear charge density . Write an expression in terms of for the amount of charge dq contained in a small segment of the rod of length dx. Compare your answers with those for part (a). Explain the similarities and differences.arrow_forward
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