College Physics
College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 18, Problem 33PE

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 - 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 - Prob. 17CQCh. 18 - Prob. 18CQCh. 18 - Prob. 19CQCh. 18 - Prob. 20CQCh. 18 - Prob. 21CQCh. 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 - Prob. 25CQCh. 18 - Prob. 26CQCh. 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 - Prob. 31CQCh. 18 - A cell membrane is a thin layer enveloping a cell....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 - Prob. 10PECh. 18 - Prob. 11PECh. 18 - Prob. 12PECh. 18 - Prob. 13PECh. 18 - Prob. 14PECh. 18 - Prob. 15PECh. 18 - Prob. 16PECh. 18 - Prob. 17PECh. 18 - Prob. 18PECh. 18 - Prob. 19PECh. 18 - Prob. 20PECh. 18 - Prob. 21PECh. 18 - Prob. 22PECh. 18 - Prob. 23PECh. 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 - Prob. 48PECh. 18 - Prob. 49PECh. 18 - Prob. 50PECh. 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 - Prob. 53PECh. 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. (a) Calculate the...Ch. 18 - Unreasonable results (a) Two 0.500 g raindrops in...Ch. 18 - Unreasonable results A wrecking yard inventor...Ch. 18 - Construct Your Own Problem Consider two insulating...Ch. 18 - Construct Your Own Problem Consider identical...Ch. 18 - Prob. 1TPCh. 18 - Prob. 2TPCh. 18 - Prob. 3TPCh. 18 - Prob. 4TPCh. 18 - Prob. 5TPCh. 18 - Prob. 6TPCh. 18 - Prob. 7TPCh. 18 - Prob. 8TPCh. 18 - Prob. 9TPCh. 18 - Prob. 10TPCh. 18 - Prob. 11TPCh. 18 - Prob. 12TPCh. 18 - Prob. 13TPCh. 18 - Prob. 14TPCh. 18 - Prob. 15TPCh. 18 - Prob. 16TPCh. 18 - Prob. 17TPCh. 18 - Prob. 18TPCh. 18 - Prob. 19TPCh. 18 - Prob. 20TPCh. 18 - Prob. 21TPCh. 18 - Prob. 22TPCh. 18 - Prob. 23TPCh. 18 - Prob. 24TPCh. 18 - Prob. 25TPCh. 18 - Prob. 26TPCh. 18 - Prob. 27TPCh. 18 - Prob. 28TPCh. 18 - Prob. 29TPCh. 18 - Prob. 30TPCh. 18 - Prob. 31TPCh. 18 - Prob. 32TPCh. 18 - Prob. 33TPCh. 18 - Prob. 34TPCh. 18 - Prob. 35TPCh. 18 - Prob. 36TPCh. 18 - Prob. 37TPCh. 18 - Prob. 38TPCh. 18 - Prob. 39TPCh. 18 - Prob. 40TPCh. 18 - Prob. 41TP
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