Chapter 3 Electric Potential 3.1 Potential and Potential Energy......... 3-2 3.2 Electric Potential in a Uniform Field........... 3-5 3.3 Electric Potential due to Point Charges......... 3-6 3.3.1 Potential Energy in a System of Charges. 3-8 3.4 Continuous Charge Distribution................... 3-9 3.5 Deriving Electric Field from the Electric Potential .3-10 3.5.1 Gradient and Equipotentials......................... 3-11 Example 3.1:Uniformly Charged Rod.... 3-13 Example 3.2:Uniformly Charged Ring..... .3-15 Example 3.3:Uniformly Charged Disk............ 3-16 Example 3.4:Calculating Electric Field from Electric Potential. .3-18 3.6 Summary… 3-18 3.7 Problem-Solving Strategy:Calculating Electric Potential......3-20 3.8 Solved Problems..................... 3-22 3.8.1 Electric Potential Due to a System of Two Charges. .3-22 3.8.2 Electric Dipole Potential.................. 3-23 3.8.3 Electric Potential of an Annulus........ 3-24 3.8.4 Charge Moving Near a Charged Wire 3-25 3.9 Conceptual Questions....... 3-26 3.10 Additional Problems ........... 3-27 3.10.1Cube.. 3-27 3.10.2 Three Charges........... 3-27 3.10.3 Work Done on Charges. … 3-27 3.10.4 Calculating E from V.... 3-28 3.10.5 Electric Potential of a Rod................ 3-28 3.10.6 Electric Potential......... 3-29 3.10.7 Calculating Electric Field from the Electric Potential.... 3-29 3.10.8 Electric Potential and Electric Potential Energy................. 3-30 3.10.9.Electric Field,Potential and Energy..... .3-30 3-1Chapter 3 Electric Potential 3.1 Potential and Potential Energy..............................................................................3-2 3.2 Electric Potential in a Uniform Field....................................................................3-5 3.3 Electric Potential due to Point Charges ................................................................3-6 3.3.1 Potential Energy in a System of Charges.......................................................3-8 3.4 Continuous Charge Distribution ...........................................................................3-9 3.5 Deriving Electric Field from the Electric Potential ............................................3-10 3.5.1 Gradient and Equipotentials.........................................................................3-11 Example 3.1: Uniformly Charged Rod .................................................................3-13 Example 3.2: Uniformly Charged Ring................................................................3-15 Example 3.3: Uniformly Charged Disk ................................................................3-16 Example 3.4: Calculating Electric Field from Electric Potential..........................3-18 3.6 Summary.............................................................................................................3-18 3.7 Problem-Solving Strategy: Calculating Electric Potential..................................3-20 3.8 Solved Problems.................................................................................................3-22 3.8.1 Electric Potential Due to a System of Two Charges....................................3-22 3.8.2 Electric Dipole Potential..............................................................................3-23 3.8.3 Electric Potential of an Annulus..................................................................3-24 3.8.4 Charge Moving Near a Charged Wire .........................................................3-25 3.9 Conceptual Questions.........................................................................................3-26 3.10 Additional Problems.........................................................................................3-27 3.10.1 Cube ...........................................................................................................3-27 3.10.2 Three Charges............................................................................................3-27 3.10.3 Work Done on Charges..............................................................................3-27 3.10.4 Calculating E from V .................................................................................3-28 3.10.5 Electric Potential of a Rod .........................................................................3-28 3.10.6 Electric Potential........................................................................................3-29 3.10.7 Calculating Electric Field from the Electric Potential ...............................3-29 3.10.8 Electric Potential and Electric Potential Energy........................................3-30 3.10.9. Electric Field, Potential and Energy ..........................................................3-30 3-1