Chapter 5 Capacitance and Dielectrics 5.1 Introduction.. 5-3 5.2 Calculation of Capacitance................ 5-4 Example 5.1:Parallel-Plate Capacitor............ 5-4 Example 5.2:Cylindrical Capacitor 5-6 Example 5.3:Spherical Capacitor............... 5-7 5.3 Storing Energy in a Capacitor. 5-8 5.3.1 Energy Density of the Electric Field..... 5-10 Example 5.4:Electric Energy Density of Dry Air 5-11 Example 5.5:Energy Stored in a Spherical Shell 5-11 5.4 Dielectrics.. 5-12 5.4.1 Polarization............ 5-14 5.4.2 Dielectrics without Battery.............. 5-17 5.4.3 Dielectrics with Battery................ .5-18 5.4.4 Gauss's Law for Dielectrics.... 5-19 Example 5.6:Capacitance with Dielectrics..... 5-21 5.5 Creating Electric Fields................... 5-22 5.5.1 Creating an Electric Dipole Movie......... .5-22 5.5.2 Creating and Destroying Electric Energy Movie.................... .5-24 5-25 5.6 Summary.......….……….5- 5.7 Appendix:Electric Fields Hold Atoms Together.5-27 5.7.1 Ionic and van der Waals Forces.5-27 5.8 Problem-Solving Strategy:Calculating Capacitance...............5-29 5.9 Solved problems531 5.9.1 Capacitor Filled with Two Different Dielectrics......5.-31 5.9.2 Capacitor with Dielectrics................ .5-32 5.9.3 Capacitor Connected to a Spring................. 5-33 5.10 Conceptual Questions.................. 5-34 5.11 Additional Problems.................. 5-35 5.11.1 Capacitors and Dielectrics.............. 5-35 5-15-1 Chapter 5 Capacitance and Dielectrics 5.1 Introduction......................................................................................................... 5-3 5.2 Calculation of Capacitance ................................................................................. 5-4 Example 5.1: Parallel-Plate Capacitor..................................................................... 5-4 Example 5.2: Cylindrical Capacitor......................................................................... 5-6 Example 5.3: Spherical Capacitor............................................................................ 5-7 5.3 Storing Energy in a Capacitor............................................................................. 5-8 5.3.1 Energy Density of the Electric Field.......................................................... 5-10 Example 5.4: Electric Energy Density of Dry Air................................................. 5-11 Example 5.5: Energy Stored in a Spherical Shell.................................................. 5-11 5.4 Dielectrics......................................................................................................... 5-12 5.4.1 Polarization ................................................................................................ 5-14 5.4.2 Dielectrics without Battery ........................................................................ 5-17 5.4.3 Dielectrics with Battery ............................................................................. 5-18 5.4.4 Gauss’s Law for Dielectrics....................................................................... 5-19 Example 5.6: Capacitance with Dielectrics ........................................................... 5-21 5.5 Creating Electric Fields .................................................................................... 5-22 5.5.1 Creating an Electric Dipole Movie ............................................................ 5-22 5.5.2 Creating and Destroying Electric Energy Movie....................................... 5-24 5.6 Summary........................................................................................................... 5-25 5.7 Appendix: Electric Fields Hold Atoms Together ............................................. 5-27 5.7.1 Ionic and van der Waals Forces................................................................. 5-27 5.8 Problem-Solving Strategy: Calculating Capacitance........................................ 5-29 5.9 Solved Problems............................................................................................... 5-31 5.9.1 Capacitor Filled with Two Different Dielectrics....................................... 5-31 5.9.2 Capacitor with Dielectrics.......................................................................... 5-32 5.9.3 Capacitor Connected to a Spring ............................................................... 5-33 5.10 Conceptual Questions....................................................................................... 5-34 5.11 Additional Problems......................................................................................... 5-35 5.11.1 Capacitors and Dielectrics.......................................................................... 5-35