College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Textbook Question
Chapter 18, Problem 19PE
Suppose you have a total charge qtot that you can split in any manner. Once split, the separation distance is fixed. How do you split the charge to achieve the greatest force?
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(a) A physics lab instructor is working on a new demonstration. She attaches two identical metal spheres with mass m = 0.220 g to strings of length L as shown in the figure.
A
Ⓡ
Both spheres have the same charge of 6.80 nC, and are in static equilibrium when 0 = 5.40°. What is L (in m)? Assume the strings are massless.
0.4985
X
Draw a free-body diagram, apply Newton's second law for a particle in equilibrium to one of the spheres. Find an equation for the distance between the two spheres in terms of L and 0, and use this expression in your Coulomb force equation. m
(b) What If? The charge on both spheres is increased until each string makes an angle of 0 = 10.8° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case?
39.9639
X
Use the same reasoning as in part (a), only now, use the length found in part (a) and the new angle to solve for the charge. nC
A 7.73 nC charge is located 1.68 m from a 3.94 nC point charge.
(a) Find the magnitude of the electrostatic force that one charge exerts on the other.
N
(b) Is the force attractive or repulsive?
O attractive
O repulsive
A small glass bead charged to 5.5 nC is in the plane that bisects a thin, uniformly charged, 10 cm-long glass rod and is 4.0 cm from the rod's center. The bead is repelled from the rod with a force of 740 μN
what is the rod's total charge?
Chapter 18 Solutions
College Physics
Ch. 18 - There are very large numbers of charged particles...Ch. 18 - Why do most objects tend to contain nearly equal...Ch. 18 - An eccentric inventor attempts to levitate by...Ch. 18 - If you have charged an electroscope by contact...Ch. 18 - When a glass rod is rubbed with silk, it becomes...Ch. 18 - Why does a car always attract dust right after it...Ch. 18 - Describe how a positively charged object can be...Ch. 18 - What is grounding? What effect does it have on a...Ch. 18 - Figure 18.43 shows the charge distribution in a...Ch. 18 - Using Figure 18.43, explain, in terms of Coulomb's...
Ch. 18 - Given the polar character of water molecules,...Ch. 18 - Why must the test charge q in the definition of...Ch. 18 - Are the direction and magnitude of the Coulomb...Ch. 18 - Compare and contrast the Coulomb force field and...Ch. 18 - Figure 18.44 shows an electric field extending...Ch. 18 - A cell membrane is a thin layer enveloping a cell....Ch. 18 - Is the object in Figure 18.45 a conductor or an...Ch. 18 - If the electric field lines in the figure above...Ch. 18 - The discussion of the electric field between two...Ch. 18 - Would the self-created electric field at the end...Ch. 18 - Why is a golfer with a metal dub over her shoulder...Ch. 18 - Can the belt of aVan de Graaff accelerator he a...Ch. 18 - Are you relatively safe from lightning inside an...Ch. 18 - Discuss pros and cons of a lightning rod being...Ch. 18 - Using the symmetry of the arrangement, show that...Ch. 18 - (a) Using the symmetry of the arrangement, show...Ch. 18 - (a) What is the direction of the total Coulomb...Ch. 18 - Considering Figure 18.46, suppose that qa= qdand...Ch. 18 - If qa = 0 in Figure 18-46, under what conditions...Ch. 18 - In regions of low humidity, one develops a special...Ch. 18 - Tollbooth stations on roadways and bridges usually...Ch. 18 - Suppose a woman carries an excess charge. 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Find the total Coulomb force on a charge q in...Ch. 18 - Find the electric field at the location of qain...Ch. 18 - (a) Find the electric field at the center of the...Ch. 18 - (a) What is the electric field 5.00 m from the...Ch. 18 - (a) What is the direction and magnitude of an...Ch. 18 - A simple and common technique for accelerating...Ch. 18 - Earth has a net charge that produces an electric...Ch. 18 - Point charges of 25.0 C and 45.0 (2 are placed...Ch. 18 - What can you say about two charges q1and q2, if...Ch. 18 - Integrated Concepts Calculate the angular velocity...Ch. 18 - Integrated Concepts An electron has an initial...Ch. 18 - Integrated Concepts The practical limit to an...Ch. 18 - Integrated Concepts A 5.00 g charged insulating...Ch. 18 - Integrated Concepts Figure 18.57 shows an electron...Ch. 18 - Integrated Concepts The classic Millikan oil drop...Ch. 18 - Integrated Concepts (a) In Figure 18.59, four...Ch. 18 - Unreasonable Results 64. 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