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
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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 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?
A positive charge q, = 3.00 µC on a frictionless horizontal surface is attached to a spring of force constant k as in the figure shown below. When a charge of q, = -8.950 µC is placed 9.50 cm away from the positive charge, the spring stretches by 5.00 mm, reducing the distance between charges to d = 9.00 cm. Find the value of k.
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92
N/m
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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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