## Fundamentals of Electromagnetics 1: Internal Behavior of Lumped ElementsThis book is the first of two volumes which have been created to provide an understanding of the basic principles and applications of electromagnetic fields for electrical engineering students. Fundamentals of Electromagnetics Vol 1: Internal Behavior of Lumped Elements focuses upon the DC and low-frequency behavior of electromagnetic fields within lumped elements. The properties of electromagnetic fields provide the basis for predicting the terminal characteristics of resistors, capacitors, and inductors. The properties of magnetic circuits are included as well. For slightly higher frequencies for which the lumped elements are a significant fraction of a wavelength in size the second volume of this set, Fundamentals of Electromagnetics Vol 2: Quasistatics and Waves, examines how the low-frequency models of lumped elements are modified to include parasitic elements. Upon completion of understanding the two volumes of this book, students will have gained the necessary knowledge to progress to advanced studies of electromagnetics. |

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### Contents

23 Gauss Law | 95 |

24 Divergence of D | 97 |

25 Dielectric Permittivity | 98 |

26 Dielectric Boundary Conditions | 101 |

27 Flux Tubes Equipotnetials and Capacitance | 104 |

A Closer Look | 107 |

29 Laplaces Equation Revisited | 110 |

210 Electric Energy Storage | 111 |

110 Evaluation of Line Integrals | 16 |

111 Numeric Approximation | 17 |

112 Analytic Evaluation | 19 |

113 Current and Current Density | 22 |

114 Currents and Surface Integrals | 24 |

115 Charge Conservation and KCL | 26 |

116 Evaluation of Surface Integrals | 28 |

117 Numeric Evaluation | 29 |

118 Analytic Evaluation | 34 |

119 Divergence | 37 |

120 Flux Tubes | 42 |

121 Divergence Theorem | 43 |

122 Charge Conservation Revisited | 44 |

123 Ohms Law | 48 |

124 Conductivity | 49 |

125 Boundary Conditions | 51 |

126 Incremental Resistors | 55 |

127 Curvilinear Squares | 58 |

128 Laplaces Equation | 62 |

129 Analytic Solution Methods | 64 |

130 Numeric Methods | 67 |

131 Linear Equations | 70 |

132 Iterative Techniques | 73 |

133 Resistance Calculations | 77 |

134 Circuit Analogs | 85 |

135 Power Dissipation | 88 |

Capacitors | 91 |

22 Charges On Electrodes | 92 |

211 Capacitance Calculations | 113 |

212 Forces and Virtual Work | 117 |

213 Flux Density Via Gauss Law | 123 |

214 Arbitrary Charge Distributions | 130 |

Inductors | 135 |

33 Amperes Law and Magentic Field Intensity | 138 |

34 Magnetic Fields in Cores | 141 |

35 Magnetic Permeability | 143 |

36 Magnetic Boundary Conditions | 145 |

37 Faradays Law | 149 |

38 Self Inductance | 152 |

39 Magnetomotive Force | 156 |

310 Magnetic Energy Storage | 159 |

311 Inductance Calculations | 161 |

312 Mutual Inductance | 162 |

313 Amperes Law REvisisted and the Curl Operator | 165 |

314 Arbitrary Current Distributions and the BiotSavart Law | 171 |

315 Field Intensity Via Amperes Law | 175 |

Magnetic Devices | 183 |

More Details | 189 |

43 Magnetic Circuits With Air Gaps | 192 |

44 Nonlinear Magnetic Circuits | 194 |

45 Transformers | 197 |

46 Magnetic Forces | 201 |

47 Solenoids | 206 |

49 Faradays Law Revisited | 207 |

Author Biography | 217 |

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Fundamentals of Electromagnetics 1: Internal Behavior of Lumped Elements David Voltmer Limited preview - 2007 |

### Common terms and phrases

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### Popular passages

Page 13 - Kirchoff s voltage law which states that the sum of the voltage drops around a closed loop is zero.