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Page 1 Chapter 2 Coulomb’s Law 2.1 Electric Charge.....................................................................................................2-3 2.2 Coulomb's Law ....................................................................................................2-3 Animation 2.1: Van de Graaff Generator...............................................................2-4 2.3 Principle of Superposition....................................................................................2-5 Example 2.1: Three Charges....................................................................................2-5 2.4 Electric Field........................................................................................................2-7 Animation 2.2: Electric Field of Point Charges .....................................................2-8 2.5 Electric Field Lines..............................................................................................2-9 2.6 Force on a Charged Particle in an Electric Field ...............................................2-10 2.7 Electric Dipole ...................................................................................................2-11 2.7.1 The Electric Field of a Dipole......................................................................2-12 Animation 2.3: Electric Dipole.............................................................................2-13 2.8 Dipole in Electric Field......................................................................................2-13 2.8.1 Potential Energy of an Electric Dipole ........................................................2-14 2.9 Charge Density...................................................................................................2-16 2.9.1 Volume Charge Density...............................................................................2-16 2.9.2 Surface Charge Density ...............................................................................2-17 2.9.3 Line Charge Density ....................................................................................2-17 2.10 Electric Fields due to Continuous Charge Distributions....................................2-18 Example 2.2: Electric Field on the Axis of a Rod .................................................2-18 Example 2.3: Electric Field on the Perpendicular Bisector ...................................2-19 Example 2.4: Electric Field on the Axis of a Ring ................................................2-21 Example 2.5: Electric Field Due to a Uniformly Charged Disk............................2-23 2.11 Summary............................................................................................................2-25 2.12 Problem-Solving Strategies ...............................................................................2-27 2.13 Solved Problems ................................................................................................2-29 2.13.1 Hydrogen Atom ........................................................................................2-29 2.13.2 Millikan Oil-Drop Experiment .................................................................2-30 2.13.3 Charge Moving Perpendicularly to an Electric Field ...............................2-31 2.13.4 Electric Field of a Dipole..........................................................................2-33 2-1 Page 2 Chapter 2 Coulomb’s Law 2.1 Electric Charge.....................................................................................................2-3 2.2 Coulomb's Law ....................................................................................................2-3 Animation 2.1: Van de Graaff Generator...............................................................2-4 2.3 Principle of Superposition....................................................................................2-5 Example 2.1: Three Charges....................................................................................2-5 2.4 Electric Field........................................................................................................2-7 Animation 2.2: Electric Field of Point Charges .....................................................2-8 2.5 Electric Field Lines..............................................................................................2-9 2.6 Force on a Charged Particle in an Electric Field ...............................................2-10 2.7 Electric Dipole ...................................................................................................2-11 2.7.1 The Electric Field of a Dipole......................................................................2-12 Animation 2.3: Electric Dipole.............................................................................2-13 2.8 Dipole in Electric Field......................................................................................2-13 2.8.1 Potential Energy of an Electric Dipole ........................................................2-14 2.9 Charge Density...................................................................................................2-16 2.9.1 Volume Charge Density...............................................................................2-16 2.9.2 Surface Charge Density ...............................................................................2-17 2.9.3 Line Charge Density ....................................................................................2-17 2.10 Electric Fields due to Continuous Charge Distributions....................................2-18 Example 2.2: Electric Field on the Axis of a Rod .................................................2-18 Example 2.3: Electric Field on the Perpendicular Bisector ...................................2-19 Example 2.4: Electric Field on the Axis of a Ring ................................................2-21 Example 2.5: Electric Field Due to a Uniformly Charged Disk............................2-23 2.11 Summary............................................................................................................2-25 2.12 Problem-Solving Strategies ...............................................................................2-27 2.13 Solved Problems ................................................................................................2-29 2.13.1 Hydrogen Atom ........................................................................................2-29 2.13.2 Millikan Oil-Drop Experiment .................................................................2-30 2.13.3 Charge Moving Perpendicularly to an Electric Field ...............................2-31 2.13.4 Electric Field of a Dipole..........................................................................2-33 2-1 2.13.5 Electric Field of an Arc.............................................................................2-36 2.13.6 Electric Field Off the Axis of a Finite Rod...............................................2-37 2.14 Conceptual Questions ........................................................................................2-39 2.15 Additional Problems ..........................................................................................2-40 2.15.1 Three Point Charges..................................................................................2-40 2.15.2 Three Point Charges..................................................................................2-40 2.15.3 Four Point Charges ...................................................................................2-41 2.15.4 Semicircular Wire .....................................................................................2-41 2.15.5 Electric Dipole ..........................................................................................2-42 2.15.6 Charged Cylindrical Shell and Cylinder...................................................2-42 2.15.7 Two Conducting Balls ..............................................................................2-43 2.15.8 Torque on an Electric Dipole....................................................................2-43 2-2Read More
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1. What is an electric field? |
2. How is the electric field calculated? |
3. What is the relationship between electric field and charge? |
4. How does the direction of the electric field depend on the charge? |
5. What are some real-life applications of electric fields? |
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