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 22, Problem 29AP
Consider an infinite number of identical particles, each with charge q, placed along the x axis at distances a, 2a, 3a, 4a,… from the origin. What is the electric field at the origin due to this distribution? Suggestion: Use
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Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 22.1 - Three objects are brought close to each other, two...Ch. 22.2 - Three objects are brought close to one another,...Ch. 22.3 - Object A has a charge of +2 C, and object B has a...Ch. 22.4 - A test charge of +3 C is at a point P where an...Ch. 22.5 - Rank the magnitudes of the electric field at...Ch. 22 - Find to three significant digits the charge and...Ch. 22 - (a) Find the magnitude of the electric force...Ch. 22 - In a thundercloud, there may be electric charges...Ch. 22 - Nobel laureate Richard Feynman (19181088) once...Ch. 22 - A 7.50-nC point charge is located 1.80 m from a...
Ch. 22 - This afternoon, you have a physics symposium...Ch. 22 - Two small beads having positive charges q1 = 3q...Ch. 22 - Two small beads having charges q1 and q2 of the...Ch. 22 - Review. In the Bohr theory of the hydrogen atom,...Ch. 22 - Three point charges lie along a straight line as...Ch. 22 - A point charge +2Q is at the origin and a point...Ch. 22 - Prob. 12PCh. 22 - Review. Two identical particles, each having...Ch. 22 - Why is the following situation impossible? Two...Ch. 22 - Prob. 15PCh. 22 - Consider n equal positively charged particles each...Ch. 22 - Two equal positively charged particles are at...Ch. 22 - Two charged particles are located on the x axis....Ch. 22 - Three point charges are located on a circular arc...Ch. 22 - Two 2.00-C point charges are located on the x...Ch. 22 - Three point charges are arranged as shown in...Ch. 22 - Consider the electric dipole shown in Figure...Ch. 22 - Three equal positive charges q are at the corners...Ch. 22 - A proton accelerates from rest in a uniform...Ch. 22 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 22 - Protons are projected with an initial speed vi =...Ch. 22 - You are still fascinated by the process of inkjet...Ch. 22 - You are working on a research project in which you...Ch. 22 - Consider an infinite number of identical...Ch. 22 - A particle with charge 3.00 nC is at the origin,...Ch. 22 - A small block of mass m and charge Q is placed on...Ch. 22 - A small sphere of charge q1 = 0.800 C hangs from...Ch. 22 - A charged cork ball of mass 1.00 g is suspended on...Ch. 22 - A charged cork ball of mass m is suspended on a...Ch. 22 - Three charged particles are aligned along the x...Ch. 22 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 22 - Two small spheres hang in equilibrium at the...Ch. 22 - Four identical charged particles (q = +10.0 C) are...Ch. 22 - Prob. 39APCh. 22 - Prob. 40APCh. 22 - Three identical point charges, each of mass m =...Ch. 22 - Prob. 42APCh. 22 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 22 - Two identical beads each have a mass m and charge...Ch. 22 - Prob. 45APCh. 22 - Prob. 46APCh. 22 - Prob. 47APCh. 22 - Eight charged panicles, each of magnitude q, are...Ch. 22 - Two particles, each with charge 52.0 nC, are...Ch. 22 - Review. An electric dipole in a uniform horizontal...
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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_forwardFind 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_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
- Why 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_forwardCharges of 3.00 nC, 2.00 nC, 7.00 nC, and 1.00 nC are contained inside a rectangular box with length 1.00 m, width 2.00 m, and height 2.50 m. Outside the box are charges of 1.00 nC and 4.00 nC. What is the electric flux through the surface of the box? (a) 0 (b) 5.64 102 N m2/C (c) 1.47 103 N m2/C (d) 1.47 103 N m2/C (e) 5.64 102 N m2/Carrow_forwardThree identical charges (q = 5.0 C.) lie along a circle of radius 2.0 m at angles of 30, 150, and 270, as shown in Figure P15.33 (page 524). What is the resultant electric field at the center of the circle? Figure P15.33arrow_forward
- Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forwardTwo long, thin rods each have linear charge density = 6.0 C/m and lie parallel to each other, separated by 20.0 cm as shown in Figure P25.32. Determine the magnitude and direction of the net electric field at point P, a distance of 15.0 cm directly above the right rod. Figure P25.32arrow_forwardTwo solid spheres, both of radius 5 cm. carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume, (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB= 0 (b) EA EB 0 (c) EA = EB 0 (d) 0EAEB (e) 0 = Ea EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? choose from the same possibilities as in part (i).arrow_forward
- A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.arrow_forwardFigure P24.16 shows three charged particles arranged in the xy plane at the coordinates shown, with qA = qB = 3.30 nC and qC = 4.70 nC. What is the electric field due to these particles at the origin? FIGURE P24.16arrow_forwardAssume the magnitude of the electric field on each face of the cube of edge L = 1.00 m in Figure P23.32 is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric flux through the cube and (b) the net charge inside the cube. (c) Could the net charge he a single point charge? Figure P23.32arrow_forward
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