Nathan Ida, Joao P. A. Bastos

Electromagnetics and Calculation of Fields

• Broschiertes Buch

Produktbeschreibung

This introduction to electromagnetic fields emphasizes the computation of fields and the development of theoretical relations. It presents the electromagnetic field and Maxwell's equations with a view toward connecting the disparate applications to the underlying relations, along with computational methods of solving the equations.

Produktdetails

• Verlag: Springer, Berlin
• 2. Aufl.
• Seitenzahl: 588
• Erscheinungstermin: 8. Oktober 2012
• Englisch
• Abmessung: 235mm x 155mm x 32mm
• Gewicht: 915g
• ISBN-13: 9781461268604
• ISBN-10: 1461268605
• Artikelnr.: 37480042

Inhaltsangabe

'I. The Electromagnetic Field and Maxwell's Equations.- 1. Mathematical Preliminaries.- 1.1. Introduction.- 1.2. The Vector Notation.- 1.3. Vector Derivation.- 1.3.1. The Nabla (?) Operator.- 1.3.2. Definition of the Gradient, Divergence, and Curl.- 1.4. The Gradient.- 1.4.1. Example of Gradient.- 1.5. The Divergence.- 1.5.1. Definition of Flux.- 1.5.2. The Divergence Theorem.- 1.5.3. Conservative Flux.- 1.5.4. Example of Divergence.- 1.6. The Curl.- 1.6.1. Circulation of a Vector.- 1.6.2. Stokes' Theorem.- 1.6.3. Example of Curl.- 1.7. Second Order Operators.- 1.8. Application of Operators to More than One Function.- 1.9. Expressions in Cylindrical and Spherical Coordinates.- 2. The Electromagnetic Field and Maxwell's Equations.- 2.1. Introduction.- 2.2. Maxwell's Equations.- 2.2.1. Fundamental Physical Principles of the Electromagnetic Field.- 2.2.2. Point Form of the Equations.- 2.2.3. The Equations in Vacuum.- 2.2.4. The Equations in Media with ?=?0and ?=?0.- 2.2.5. The Equations in General Media.- 2.2.6. The Integral Form of Maxwell's Equations.- 2.3. Approximations to Maxwell's Equations.- 2.4. Units.- 3. Electrostatic Fields.- 3.1. Introduction.- 3.2. The Electrostatic Charge.- 3.2.1. The Electric Field.- 3.2.2. Force on an Electric Charge.- 3.2.3. The Electric Scalar Potential V.- 3.3. Nonconservative Fields: Electromotive Force.- 3.4. Refraction of the Electric Field.- 3.5. Dielectric Strength.- 3.6. The Capacitor.- 3.6.1. Definition of Capacitance.- 3.6.2. Energy Stored in a Capacitor.- 3.6.3. Energy in a Static, Conservative Field.- 3.7. Laplace's and Poisson's Equations in Terms of the Electric Field.- 3.8. Examples.- 3.8.1. The Infinite Charged Line.- 3.8.2. The Charged Spherical Half-Shell.- 3.8.3. The Spherical Capacitor.- 3.8.4. The Spherical Capacitor with Two Dielectric Layers.- 3.9. A Brief Introduction to the Finite Element Method: Solution of the Two-Dimensional Laplace Equation.- 3.9.1. The Finite Element Technique for Division of a Domain.- 3.9.2. The Variational Method.- 3.9.3. A Finite Element Program.- 3.9.4. Example for Use of the Finite Element Program.- 3.10. Tables of Permittivities, Dielectric Strength, and Conductivities.- 4. Magnetostatic Fields.- 4.1. Introduction.- 4.2. Maxwell's Equations in Magnetostatics.- 4.2.1. The Equation ?×H=J.- 4.2.2. The Equation ?-B=0.- 4.2.3. The Equation ?×E=0.- 4.3. The Biot-Savart Law.- 4.4. Boundary Conditions for the Magnetic Field.- 4.5. Magnetic Materials.- 4.5.1. Diamagnetic Materials.- 4.5.2. Paramagnetic Materials.- 4.5.3. Ferromagnetic Materials.- 4.5.4. Permanent Magnets.- 4.6. The Analogy between Magnetic and Electric Circuits.- 4.7. Inductance and Mutual Inductance.- 4.7.1. Definition of Inductance.- 4.7.2. Energy in a Linear System.- 4.7.3. The Energy Stored in the Magnetic Field.- 4.8. Examples.- 4.8.1. Calculation of Field Intensity and Inductance of a Long Solenoid.- 4.8.2. Calculation of H for a Circular Loop.- 4.8.3. Field of a Rectangular Loop.- 4.8.4. Calculation of Inductance of a Coaxial Cable.- 4.8.5. Calculation of the Field Inside a Cylindrical Conductor.- 4.8.6. Calculation of the Magnetic Field Intensity in a Magnetic Circuit.- 4.8.7. Calculation of the Magnetic Field Intensity of a Saturated Magnetic Circuit.- 4.8.8. Magnetic Circuit Incorporating Permanent Magnets.- 4.9. Laplace's Equation in Terms of the Magnetic Scalar Potential.- 4.10. Properties of Soft Magnetic Materials.- 5. Magnetodynamic Fields.- 5.1. Introduction.- 5.2. Maxwell's Equations for the Magnetodynamic Field.- 5.3. Penetration of Time Dependent Fields in Conducting Materials.- 5.3.1. The Equation for H.- 5.3.2. The Equation for B.- 5.3.3. The Equation for E.- 5.3.4. The Equation for J.- 5.3.5. Solution of the Equations.- 5.4. Eddy Current Losses in Plates.- 5.5. Hysteresis Losses.- 5.6. Examples.- 5.6.1. Induced Currents Due to Change in Induction.- 5.6.2. Induced Cur