Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 23, Problem 81GP
A nonconducting sphere of radius r2 contains a concentric spherical cavity of radius r1. The material between r1 and r2 carries a uniform charge density ρE (C/m3). Determine the electric potential V, relative to V = 0 at r = ∞, as a function of the distance r from the center for (a) r > r2, (b) r1 < r < r2, and (c) 0 < r < r1. Is V continuous at r1 and r2?
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Chapter 23 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 23.2 - CHAPTER-OPENING QUESTIONGuess now! Consider a pair...Ch. 23.2 - On a dry day, a person can become electrically...Ch. 23.3 - What is the potential at a distance of 3.0cm from...Ch. 23.3 - Consider the three pairs of charges, Q1, and Q2,...Ch. 23.8 - Prob. 1EECh. 23.8 - The kinetic energy of a 1000-kg automobile...Ch. 23 - If two points are at the same potential, does this...Ch. 23 - If a negative charge is initially at rest in an...Ch. 23 - State clearly the difference (a) between electric...Ch. 23 - An electron is accelerated by a potential...
Ch. 23 - Can a particle ever move from a region of low...Ch. 23 - If V = 0 at a point in space, must E=0? If E=0 at...Ch. 23 - When dealing with practical devices, we often take...Ch. 23 - Can two equipotential lines cross? Explain.Ch. 23 - Draw in a few equipotential lines in Fig, 2134b...Ch. 23 - What can you say about the electric field in a...Ch. 23 - A satellite orbits the Earth along a gravitational...Ch. 23 - Suppose the charged ring of Example 238 was not...Ch. 23 - Consider a metal conductor in the shape of a...Ch. 23 - Equipotential lines are spaced 1.00 V apart. Does...Ch. 23 - A conducting sphere carries a charge Q and a...Ch. 23 - At a particular location, the electric field...Ch. 23 - Equipotential lines are spaced 1.00 V apart. Does...Ch. 23 - If the electric field E is uniform in a region,...Ch. 23 - Is the electric potential energy of two unlike...Ch. 23 - (I) What potential difference is needed to stop an...Ch. 23 - (I) How much work does the electric field do in...Ch. 23 - (I) An electron acquires 5.25 1016 J of kinetic...Ch. 23 - (II) The work done by an external force to move a...Ch. 23 - (I) Thunderclouds typically develop voltage...Ch. 23 - (I) The electric field between two parallel plates...Ch. 23 - (I) What is the maximum amount of charge that a...Ch. 23 - (I) What is the magnitude of the electric field...Ch. 23 - (I) What minimum radius must a large conducting...Ch. 23 - (II) A manufacturer claims that a carpet will not...Ch. 23 - (II) A uniform electric field E=4.20N/Ci points in...Ch. 23 - (II) The electric potential of a very large...Ch. 23 - (II) The Earth produces an inwardly directed...Ch. 23 - (II) A 32-cm-diameter conducting sphere is charged...Ch. 23 - (II) An insulated spherical conductor of radius r1...Ch. 23 - (II) Determine the difference in potential between...Ch. 23 - (II) Suppose the end of your finger is charged....Ch. 23 - (II) Estimate the electric field in the membrane...Ch. 23 - (II) A nonconducting sphere of radius r0 carries a...Ch. 23 - (III) Repeat Problem 19 assuming the charge...Ch. 23 - (III) The volume charge density E within a sphere...Ch. 23 - (III) A hollow spherical conductor, carrying a net...Ch. 23 - (III) A very long conducting cylinder (length ) of...Ch. 23 - (I) A point charge Q creates an electric potential...Ch. 23 - (I) (a) What is the electric potential 0.50 1010...Ch. 23 - (a) Because of the inverse square nature of the...Ch. 23 - (II) +25C point charge is placed 6.0 cm from an...Ch. 23 - (II) Point a is 26 cm north of a 3.8 C point...Ch. 23 - (II) How much voltage must be used to accelerate a...Ch. 23 - (II) Two identical +5.5 C point charges are...Ch. 23 - (II) An electron starts from rest 42.5cm from a...Ch. 23 - (II) Two equal but opposite charges are separated...Ch. 23 - (II) A thin circular ring of radius R (as in Fig....Ch. 23 - (II) Three point charges are arranged at the...Ch. 23 - (II) A flat ring of inner radius R1 and outer...Ch. 23 - (II) A total charge Q is uniformly distributed on...Ch. 23 - (II) A 12.0-cm-radius thin ring carries a...Ch. 23 - (II) A thin rod of length 2 is centered on the x...Ch. 23 - (II) Determine the potential V(x) for points along...Ch. 23 - (III) The charge on the rod of Fig. 2331 has a...Ch. 23 - (III) Suppose the flat circular disk of Fig. 2315...Ch. 23 - (I) Draw a conductor in the shape of a football....Ch. 23 - (II) Equipotential surfaces are to be drawn 100 V...Ch. 23 - (II) A metal sphere of radius r0 = 0.44 m carries...Ch. 23 - (II) Calculate the electric potential due to a...Ch. 23 - (III) The dipole moment, considered as a vector,...Ch. 23 - (I) Show that the electric field of a single point...Ch. 23 - (I) What is the potential gradient just outside...Ch. 23 - (II) The electric potential between two parallel...Ch. 23 - () The electric potential in a region of space...Ch. 23 - (II) In a certain region of space, the electric...Ch. 23 - (II) A dust particle with mass of 0.050 g and a...Ch. 23 - (III) Use the results or Problems 38 and 39 to...Ch. 23 - (I) How much work must be done to bring three...Ch. 23 - (I) What potential difference is needed to give a...Ch. 23 - (I) What is the speed of (a) a 1.5-keV (kinetic...Ch. 23 - (II) Many chemical reactions release energy....Ch. 23 - (II) An alpha particle (which is a helium nucleus,...Ch. 23 - (II) Write the total electrostatic potential...Ch. 23 - (II) Four equal point charges, Q, are fixed at the...Ch. 23 - (II) An electron starting from rest acquires 1.33...Ch. 23 - (II) Determine the total electrostatic potential...Ch. 23 - (II) The liquid-drop model of the nucleus suggests...Ch. 23 - (III) Determine the total electrostatic potential...Ch. 23 - (I) Use the ideal gas as a model to estimate the...Ch. 23 - (III) Electrons are accelerated by 6.0kV in a CRT....Ch. 23 - (III) In a given CRT, electrons are accelerated...Ch. 23 - If the electrons in a single raindrop, 3.5 mm in...Ch. 23 - By rubbing a nonconducting material, a charge of...Ch. 23 - Sketch the electric field and equipotential lines...Ch. 23 - A +33 C point charge is placed 36 cm from an...Ch. 23 - At each corner of a cube of side there is a point...Ch. 23 - In a television picture tube (CRT), electrons are...Ch. 23 - Four point charges are located at the corners of a...Ch. 23 - In a photocell, ultraviolet (UV) light provides...Ch. 23 - An electron is accelerated horizontally from rest...Ch. 23 - Three charges are at the corners of an equilateral...Ch. 23 - Near the surface of the Earth there is an electric...Ch. 23 - A lightning flash transfers 4.0 C of charge and...Ch. 23 - Determine the components of the electric field. Ex...Ch. 23 - A nonconducting sphere of radius r2 contains a...Ch. 23 - A thin flat nonconducting disk, with radius R0 and...Ch. 23 - A Geiger counter is used to detect charged...Ch. 23 - A Van de Graaff generator (Fig. 2341) can develop...Ch. 23 - The potential in a region of space is given by V =...Ch. 23 - A charge q1 of mass m rests on the y axis at a...Ch. 23 - (II) A dipole is composed of a 1.0 nC charge at x...Ch. 23 - (II) A thin flat disk of radius R0 carries a total...Ch. 23 - (III) You are trying to determine an unknown...
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