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Electricity and Magnetism

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Electricity and Magnetism

This is the first in a series of chapters on electricity and magnetism. Much of it will be aimed at an introductory level suitable for first or second year students, or perhaps some parts may also be useful at high school level. Occasionally, as I feel inclined, I shall go a little bit further than an introductory level, though the text will not be enough for anyone pursuing electricity and magnetism in a third or fourth year honours class.

Tác giả
Jeremy Tatum
Nhà xuất bản
University of Victoria
Nguồn
LibreTexts
Giấy phép
CC BY-NC
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Mục lục· 204 mục
  1. 01: Electric Fields
  2. 1.01: Prelude to Electric Fields
  3. 1.02: Triboelectric Effect
  4. 1.03: Experiments with Pith Balls
  5. 1.04: Experiments with a Gold-leaf Electroscope
  6. 1.05: Coulomb's Law
  7. 1.06: Electric Field E
  8. 1.6A: Field of a Point Charge
  9. 1.6B: Spherical Charge Distributions
  10. 1.6C: A Long Charged Rod
  11. 1.6D: Field on the Axis of and in the Plane of a Charged Ring
  12. 1.6E: Field on the Axis of a Uniformly Charged Disc
  13. 1.6F: Field of a Uniformly Charged Infinite Plane Sheet
  14. 1.07: Electric Field D
  15. 1.08: Flux
  16. 1.09: Gauss's Theorem
  17. 02: Electrostatic Potential
  18. 2.01: Introduction to Electrostatic Potentials
  19. 2.02: Potential Near Various Charged Bodies
  20. 2.2A: Point Charge
  21. 2.2B: Spherical Charge Distributions
  22. 2.2C: Long Charged Rod
  23. 2.2D: Large Plane Charged Sheet
  24. 2.2E: Potential on the Axis of a Charged Ring
  25. 2.2F: Potential in the Plane of a Charged Ring
  26. 2.2G: Potential on the Axis of a Charged Disc
  27. 2.03: Electron-volts
  28. 2.04: A Point Charge and an Infinite Conducting Plane
  29. 2.05: A Point Charge and a Conducting Sphere
  30. 2.06: Two Semicylindrical Electrodes
  31. 03: Dipole and Quadrupole Moments
  32. 3.01: Introduction
  33. 3.02: Mathematical Definition of Dipole Moment
  34. 3.03: Oscillation of a Dipole in an Electric Field
  35. 3.04: Potential Energy of a Dipole in an Electric Field
  36. 3.05: Force on a Dipole in an Inhomogeneous Electric Field
  37. 3.06: Induced Dipoles and Polarizability
  38. 3.07: The Simple Dipole
  39. 3.08: Quadrupole Moment
  40. 3.09: Potential at a Large Distance from a Charged Body
  41. 3.10: A Geophysical Example
  42. 04: Batteries Resistors and Ohm's Law
  43. 4.01: Introduction
  44. 4.02: Resistance and Ohm's Law
  45. 4.03: Resistance and Temperature
  46. 4.04: Resistors in Series
  47. 4.05: Conductors in Parallel
  48. 4.06: Dissipation of Energy
  49. 4.07: Electromotive Force and Internal Resistance
  50. 4.08: Power Delivered to an External Resistance
  51. 4.09: Potential Divider
  52. 4.10: Ammeters and Voltmeters
  53. 4.11: Wheatstone Bridge
  54. 4.12: Delta-Star Transform
  55. 4.13: Kirchhoffs Rules
  56. 4.14: Tortures for the Brain
  57. 4.15: Solutions Answers or Hints to 4.14
  58. 4.16: Attenuators
  59. 05: Capacitors
  60. 5.01: Introduction
  61. 5.02: Plane Parallel Capacitor
  62. 5.03: Coaxial Cylindrical Capacitor
  63. 5.04: Concentric Spherical Capacitor
  64. 5.05: Capacitors in Parallel
  65. 5.06: Capacitors in Series
  66. 5.07: Delta-Star Transform
  67. 5.08: Kirchhoff’s Rules
  68. 5.09: Problem for a Rainy Day
  69. 5.10: Energy Stored in a Capacitor
  70. 5.11: Energy Stored in an Electric Field
  71. 5.12: Force Between the Plates of a Plane Parallel Plate Capacitor
  72. 5.13: Sharing a Charge Between Two Capacitors
  73. 5.14: Mixed Dielectrics
  74. 5.15: Changing the Distance Between the Plates of a Capacitor
  75. 5.16: Inserting a Dielectric into a Capacitor
  76. 5.17: Polarization and Susceptibility
  77. 5.18: Discharging a Capacitor Through a Resistor
  78. 5.19: Charging a Capacitor Through a Resistor
  79. 5.20: Real Capacitors
  80. 5.21: More on E, D, P, etc
  81. 5.22: Dielectric material in an alternating electric field.
  82. 06: The Magnetic Effect of an Electric Current
  83. 6.01: Introduction
  84. 6.02: Definition of the Amp
  85. 6.03: Definition of the Magnetic Field
  86. 6.04: The Biot-Savart Law
  87. 6.05: Magnetic Field Near a Long, Straight, Current-carrying Conductor
  88. 6.06: Field on the Axis and in the Plane of a Plane Circular Current-carrying Coil
  89. 6.07: Helmholtz Coils
  90. 6.08: Field on the Axis of a Long Solenoid
  91. 6.09: The Magnetic Field H
  92. 6.10: Flux
  93. 6.11: Amperes Theorem
  94. 6.12: Boundary Conditions
  95. 07: Force on a Current in a Magnetic Field
  96. 7.01: Introduction
  97. 7.02: Force Between Two Current-carrying Wires
  98. 7.03: The Permeability of Free Space
  99. 7.04: Magnetic Moment
  100. 7.05: Magnetic Moment of a Plane Current-carrying Coil
  101. 7.06: Period of Oscillation of a Magnet or a Coil in an External Magnetic Field
  102. 7.07: Potential Energy of a Magnet or a Coil in a Magnetic Field
  103. 7.08: Moving-coil Ammeter
  104. 7.09: Magnetogyric Ratio
  105. 08: On the Electrodynamics of Moving Bodies
  106. 8.01: Introduction to Electrodynamics of Moving Bodies
  107. 8.02: Charged Particle in an Electric Field
  108. 8.03: Charged Particle in a Magnetic Field
  109. 8.04: Charged Particle in an Electric and a Magnetic Field
  110. 8.05: Motion in a Nonuniform Magnetic Field
  111. 8.06: Appendix. Integration of the Equations
  112. 09: Magnetic Potential
  113. 9.01: Introduction to Magnetic Potential
  114. 9.02: The Magnetic Vector Potential
  115. 9.03: Long, Straight, Current-carrying Conductor
  116. 9.04: Long Solenoid
  117. 9.05: Divergence
  118. 10: Electromagnetic Induction
  119. 10.01: Introduction to Electromagnetic Induction
  120. 10.02: Electromagnetic Induction and the Lorentz Force
  121. 10.03: Lenz's Law
  122. 10.04: Ballistic Galvanometer and the Measurement of Magnetic Field
  123. 10.05: AC Generator
  124. 10.06: AC Power
  125. 10.07: Linear Motors and Generators
  126. 10.08: Rotary Motors
  127. 10.09: The Transformer
  128. 10.10: Mutual Inductance
  129. 10.11: Self Inductance
  130. 10.12: Growth of Current in a Circuit Containing Inductance
  131. 10.13: Discharge of a Capacitor through an Inductance
  132. 10.14: Discharge of a Capacitor through an Inductance and a Resistance
  133. 10.15: Charging a Capacitor through and Inductance and a Resistance
  134. 10.16: Energy Stored in an Inductance
  135. 10.17: Energy Stored in a Magnetic Field
  136. 11: Dimensions
  137. 12: Properties of Magnetic Materials
  138. 12.01: Introduction
  139. 12.02: Magnetic Circuits and Ohm's Law
  140. 12.03: Magnetization and Susceptibility
  141. 12.04: Diamagnetism
  142. 12.05: Paramagnetism
  143. 12.06: Ferromagnetism
  144. 12.07: Antiferromagnetism
  145. 12.08: Ferrimagnetism
  146. 13: Alternating Current
  147. 13.01: Alternating current in an inductance
  148. 13.02: Alternating Voltage across a Capacitor
  149. 13.03: Complex Numbers
  150. 13.04: Resistance and Inductance in Series
  151. 13.05: Resistance and Capacitance in Series
  152. 13.06: Admittance
  153. 13.07: The RLC Series Acceptor Circuit
  154. 13.08: The RLC Parallel Rejector Circuit
  155. 13.09: AC Bridges
  156. 13.9A: The Owen Bridge
  157. 13.9B: The Schering Bridge
  158. 13.9C: The Wien Bridge
  159. 13.9D: Bridge Solution by Delta-Star Transform
  160. 13.10: The Transformer
  161. 13.11: Root-mean-square values, power and impedance matching
  162. 14: Laplace Transforms
  163. 14.01: Introduction to Laplace Transforms
  164. 14.02: Table of Laplace Transforms
  165. 14.03: The First Integration Theorem
  166. 14.04: The Second Integration Theorem (Dividing a Function by t)
  167. 14.05: Shifting Theorem
  168. 14.06: A Function Times tⁿ
  169. 14.07: Differentiation Theorem
  170. 14.08: A First Order Differential Equation
  171. 14.09: A Second Order Differential Equation
  172. 14.10: Generalized Impedance
  173. 14.11: RLC Series Transient
  174. 14.12: Another Example
  175. 15: Maxwell's Equations
  176. 15.01: Introduction
  177. 15.02: Maxwell's First Equation
  178. 15.03: Poisson's and Laplace's Equations
  179. 15.04: Maxwell's Second Equation
  180. 15.05: Maxwell's Third Equation
  181. 15.06: The Magnetic Equivalent of Poisson's Equation
  182. 15.07: Maxwell's Fourth Equation
  183. 15.08: Summary of Maxwell's and Poisson's Equations
  184. 15.09: Electromagnetic Waves
  185. 15.10: Gauge Transformations
  186. 15.11: Maxwell’s Equations in Potential Form
  187. 15.12: Retarded Potential
  188. 16: CGS Electricity and Magnetism
  189. 16.01: Introduction
  190. 16.02: The CGS Electrostatic System
  191. 16.03: The CGS Electromagnetic System
  192. 16.04: The Gaussian Mixed System
  193. 16.05: Conversion Factors
  194. 16.06: Dimensions
  195. 17: Magnetic Dipole Moment
  196. 17.01: Introduction to Magnetic Dipole Moments
  197. 17.02: The SI Definition of Magnetic Moment
  198. 17.03: The Magnetic Field on the Equator of a Magnet
  199. 17.04: CGS Magnetic Moment and Lip Service to SI
  200. 17.05: Possible Alternative Definitions of Magnetic Moment
  201. 17.06: Thirteen Questions
  202. 17.07: Additional Remarks
  203. 17.08: Conclusion
  204. 18: Electrochemistry