College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 18, Problem 63PE
Integrated Concepts
(a) In Figure 18.59, four equal charges q lie on the corners of a square. A fifth charge Q is on a mass m directly above the center of the square, at a height equal to the length d of one side of the square. Determine the magnitude of q in terms of Q. m, and d, if the Coulomb force is to equal the weight of m. (b) Is this equilibrium stable or unstable? Discuss.
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Integrated Concepts(a) In Figure 18.59, four equal charges q lie on the corners of a square. A fifth charge Q is on a mass m directly above the center of the square, at a height equal to the length d of one side of the square. Determine the magnitude of q in terms of Q ,m , and d, if the Coulomb force is to equal the weight of . (b) Is this equilibrium stable or unstable? Discuss.
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Using the symmetry of the arrangement, show that the net Coulomb force on the charge at the center of the square below is zero if the charges on the four corners are exactly equal.
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. To...Ch. 18 - Common static electricity involves charges ranging...Ch. 18 - If 1.801020electrons move through a pocket...Ch. 18 - To start a car engine, the car battery moves...Ch. 18 - A certain lightning bolt moves 40.0 C of charge....Ch. 18 - Suppose a speck of dust in an electrostatic...Ch. 18 - An amoeba has 1.001016protons and a net charge of...Ch. 18 - A 50.0 g ball of copper has a net charge of 2.00...Ch. 18 - What net charge would you place on a 100 g piece...Ch. 18 - How many coulombs of positive charge are there in...Ch. 18 - What is the repulsive force between two pith balls...Ch. 18 - (a) How strong is the attractive force between a...Ch. 18 - Two point charges exert a 5.00 N force on each...Ch. 18 - Two point charges are brought closer together,...Ch. 18 - How far apart must two point charges of 75.0 nC...Ch. 18 - If two equal charges each of 1 C each are...Ch. 18 - A test charge of +2C is placed halfway between a...Ch. 18 - Bare free charges do not remain stationary when...Ch. 18 - (a) By what factor must you change the distance...Ch. 18 - Suppose you have a total charge qtot that you can...Ch. 18 - (a) Common transparent tape becomes charged when...Ch. 18 - Find the ratio of the electrostatic to...Ch. 18 - At what distance is the electrostatic force...Ch. 18 - A certain five cent coin contains 5.00 g of...Ch. 18 - (a) Two point charges totaling 8.00 C exert a...Ch. 18 - Point charges of 5.00 C and 3.00/C are placed...Ch. 18 - (a) Two point charges q1 and q23.00 m apart, and...Ch. 18 - What is the magnitude and direction of an electric...Ch. 18 - What is the magnitude and direction of the force...Ch. 18 - Calculate the magnitude of the electric field 2.00...Ch. 18 - (a) What magnitude point charge creates a 10,000...Ch. 18 - Calculate the initial (from rest) acceleration of...Ch. 18 - (a) Find the direction and magnitude of an...Ch. 18 - (a) Sketch the electric field lines near a point...Ch. 18 - Sketch the electric field lines a long distance...Ch. 18 - Figure 18.47 shows the electric field lines near...Ch. 18 - Sketch the electric field lines in the vicinity of...Ch. 18 - Sketch the electric field lires in the vicinity of...Ch. 18 - Sketch the electric field lines in the vicinity of...Ch. 18 - Sketch the electric field between the two...Ch. 18 - Sketch the electric field lines in the vicinity of...Ch. 18 - What is the force on the charge located at x =...Ch. 18 - (a) Find the total electric field at x = 1.00 cm...Ch. 18 - (a) Find the electric field at x = 5.00 cm in...Ch. 18 - (a) Find the total Coulomb force on a charge of...Ch. 18 - Using the symmetry of the arrangement, determine...Ch. 18 - (a) Using the symmetry of the arrangement,...Ch. 18 - Find the electric field at the location of qain...Ch. 18 - 48. 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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