Electromagnetic Field Theory
ECC-205
Introduction: Review of scalar and vector field Dot and Cross products Coordinate Systems-Cartesian cylindrical and spherical Vector representation of surface Physical interpretation of gradient divergence and curl Transformation of vectors in different co-ordinate systems dirac-delta function Electrostatics: Electric field due to point-charges line charges and surface charges Electrostatic potential Solution of Laplace and Poisson’s equation in one dimension M-method of image applied to plain boundaries field mapping and conformal transformation Electric flux density Boundary conditions Capacitance: calculation of capacitance for simple rectangular, cylindrical and spherical geometries Electrostatic energy
Magnetostatics : Magnetic Induction and Faraday’s Law Magnetic Flux Density Magnetic Field Strength H Ampere Gauss Law in the Differential Vector Form Permeability Energy Stored in a Magnetic Field Ampere’s Law for a Current Element Volume Distribution of Current Ampere’s Law Force Law Magnetic Vector Potential The Far Field of a Current Distribution Maxwell’s Equations: The Equation of Continuity for Time Varying Fields Inconsistency of Ampere’s Law Maxwell’s Equations Conditions at a Boundary Surface
Electromagnetic Waves: Continuity equations Displacement current Maxwell’s equation Boundary conditions Plane wave equation and its solution in conducting and non-conducting media Phasor notation Phase velocity Group velocity Depth of penetration Conductors and dielectrics Impedance of conducting medium Polarization Reflection and refraction of plane waves at plane boundaries Poynting vectors Poynting theorem
Transmission Lines: Transmission line equations Characteristic impendence Distortion-less lines Input impendence of a loss less line computation of primary and secondary constants Open and Short circuited lines Standing wave and reflection losses Impedance matching Loading of lines Input impedance of transmission lines RF lines Relation between reflection coefficient and voltage standing wave ratio (VSWR) Lines of different lengths – λ/2, λ/4, λ/8 lines Losses in transmission lines Smith chart and applications impedance matching Single stub Double stub