Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 22, Problem 45AP
Two small spheres of mass m are suspended from strings of length ℓ that are connected at a common point. One sphere has charge Q and the other charge 2Q. The strings make angles θ1 and θ2 with the vertical. (a) Explain how θ1, and θ2 are related. (b) Assume θ1 and θ2 are small. Show that the distance r between the spheres is approximately
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Chapter 22 Solutions
Physics for Scientists and Engineers
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 - Particle A of charge 3.00 104 C is at the origin,...Ch. 22 - Review. Two identical particles, each having...Ch. 22 - Why is the following situation impossible? Two...Ch. 22 - What are the magnitude and direction of the...Ch. 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 - Review. Two identical blocks resting on a...Ch. 22 - Review. Two identical blocks resting on a...Ch. 22 - Three identical point charges, each of mass m =...Ch. 22 - Why is the following situation impossible? An...Ch. 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 - Two small spheres of mass m are suspended from...Ch. 22 - You are working as an expert witness for an...Ch. 22 - Review. A 1.00-g cork ball with charge 2.00 C is...Ch. 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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- A 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_forwardCharges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C (Fig. P23.43). What are the magnitude and direction of the electrostatic force on charge B? Figure P23.43arrow_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
- Three small metallic spheres with identical mass m and identical charge +q are suspended by light strings from the same point (Fig. P23.55). The left-hand and right-hand strings have length L and make an angle with the vertical. What is the value of q in terms of k, g, m, L, and ? Figure P23.55arrow_forwardA Figure P23.65 shows two identical conducting spheres, each with charge q, suspended from light strings of length L. If the equilibrium angle the strings make with the vertical is , what is the mass m of the spheres? Figure P23.65arrow_forwardA 1.75-nC charged particle located at the origin is separated by a distance of 0.0825 m from a 2.88-nC charged particle located farther along the positive x axis. If the 1.75-nC particle is kept fixed at the origin, where along the positive x axis should the 2.88-nC particle be located so that the magnitude of the electrostatic force it experiences is twice as great as it was in Problem 27?arrow_forward
- Particle A of charge 3.00 104 C is at the origin, particle B of charge 6.00 101 C is at (4.00 m, 0), and particle C of charge 1.00 104 C is at (0, 3.00 in). We wish to find the net electric force on C. (a) What is the x component of the electric force exerted by A on C? (b) What is the y component of the force exerted by A on C? (c) Kind the magnitude of the force exerted by B on C. (d) Calculate the x component of the force exerted by B on C. (e) Calculate the y component of the force exerted by B on C. (f) Sum the two x components from parts (a) and (d) to obtain the resultant x component of the electric force acting on C. (g) Similarly, find the y component of the resultant force vector acting on C. (h) Kind the magnitude and direction of the resultant electric force acting on C.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_forwardTwo small spherical conductors are suspended from light-weight vertical insulating threads. The conductors are brought into contact (Fig. P23.50, left) and released. Afterward, the conductors and threads stand apart as shown at right. a. What can you say about the charge of each sphere? b. Use the data given in Figure P23.50 to find the tension in each thread. c. Find the magnitude of the charge on each sphere. Figure P23.50arrow_forward
- A sphere has a net charge of 8.05 nC, and a negatively charged rod has a charge of 6.03 nC. The sphere and rod undergo a process such that 5.00 109 electrons are transferred from the rod to the sphere. What are the charges of the sphere and the rod after this process?arrow_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) 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_forwardIs it possible for a conducting sphere of radius 0.10 m to hold a charge of 4.0 C in air? The minimum field required to break down air and turn it into a conductor is 3.0 106 N/C.arrow_forward
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