Electromagnetic Field Theory

SYLLABUS- ELECTRO MAGNETIC FIELD THEORY, Unit-I: Coordinate Systems and Transformation: Cartesian coordinates, circular cylindrical coordinates, spherical coordinates. Vector calculus: Differential length, area and volume, line surface and volume integrals, del operator, gradient of a scalar, divergence of a vector and divergence theorem, curl of a vector and Stoke’s theorem, Laplacian of a scalar.

Unit-II: Electrostatics: Electrostatic fields, Coulombs law and field intensity, Electric field due to charge distribution, Electric flux density, Gausses’s Law— Maxwell’s equation, Electric dipole and flux lines, energy density in electrostatic fields.

Electric Field in Material Space: Properties of materials, convection and conduction currents, conductors, polarization in dielectrics, dielectric constants, continuity equation and relaxation time, boundary condition. Electrostatic boundary value problems: Poission’s and Laplace’s equations, general procedures for soling Poission’s or Laplace’s equations, resistance and capacitance, method of images.

Unit-III: Magnetostatics: Magneto-static fields, Biot-Savart’s Law, Ampere’s circuit law, Maxwell’s equation, application of ampere’s law, magnetic flux density- Maxwell’s equation, Maxwell’s equation for static fields, magnetic scalar and vector potential. Magnetic Forces, Materials and Devices: Forces due to magnetic field, magnetic torque and moment, a magnetic dipole, magnetization in materials, magnetic boundary conditions, inductors and inductances, magnetic energy.

Unit-IV: Waves and Applications: Maxwell’s equation, Faraday’s Law, transformer and motional electromotive forces, displacement current, Maxwell’s equation in final form. Electromagnetic Wave Propagation: Wave propagation in lossy dielectrics, plane waves in lossless dielectrics, plane wave in free space, plain waves in good conductors, power and the pointing vector, reflection of a plain wave in a normal incidence.

Unit-V: Transmission lines: Transmission line parameters, Transmission line equations, input impedance, standing wave ratio and power, The Smith chart, Some applications of transmission lines.