Applied Electromagnetics Contents Unit 1 Vector Analysis 1.1 Scalar and vector quantities 1.2 Vector addition and subtraction 1.3 Vector multiplication 1.4 Fields 1.5 Cylindrical coordinate system 1.6 Spherical coordinate system 1.7 Vector differentiation 1.8 Gradient of a scalar 1.9 The divergence of a vector 1.10 The curl of a vector 1.11 Double operations with del () 1.12 The divergence theorem 1.13 Stoke’s theorem Unit 2 Electrostatic Field 2.1 Coulomb’s law 2.2 Electric field strength E 2.3 Field due to a line charge 2.4 Field due to a surface charge 2.5 Electric flux and electric flux density D 2.6 Gauss’s theorem 2.7 Maxwell’s first equation 2.8 Potential 2.9 Potential gradient 2.10 Maxwell’s second equation 2.11 Potential energy of a system of point charges 2.12 Energy density in an electric field 2.13 Poisson’s equation and Laplace’s equation Unit 3 Conduction Field and Electrostatic Field in Materials 3.1 Types of materials 3.2 Electric current and current density 3.3 The continuity equation 3.4 Ohm’s law 3.5 Dielectrics 3.6 Material boundary conditions 3.7 Capacitors and capacitance 3.8 Stored energy in capacitor Unit 4 Magnetic Field 4.1 Laws of magnetic force 4.2 Maxwell’s third equation: curl H 4.3 Maxwell’s fourth equation: div B 4.4 Summary of Maxwell’s equations for static fields Unit 5 Magnetic Forces and Media 5.1 The Lorentz equation 5.2 Force on a differential current element 5.3 Forces on a closed current loop 5.4 Torque on a current-carrying coil 5.5 Magnetic field in ferromagnetic materials 5.6 Boundary conditions for magnetic media 5.7 Magnetic circuits 5.8 Magnetic saturation and hysteresis 5.9 Stored energy in magnetic field Unit 6 Time-varying Field 6.1 Flux linkage and inductance 6.2 Faraday’s law and Lenz’s law 6.3 Displacement current - Maxwell’s hypothesis 6.4 Maxwell’s equations: final forms Unit 7 Maxwell’s Equations and Electromagnetic Waves 7.1 Maxwell equations 7.2 Poisson’s equation 7.3 Finite difference method for solving the Laplace’s equation 7.4 Electromagnetic waves Unit 8* Electromagnetic Design (Applications) 8.1 DC-motor 8.2 Electron ballistics 8.3 The cathode ray tube (CRT) 2