Electromagnetic Field Theory

Unit I: Electrostatics
Review of 3D Coordinate Geometry, Vector Calculus, Physical significance of Gradient, Divergence, Curl, Electric field intensity(E), Displacement Flux Density(D), Gauss‘s law, Electric potential(V), Potential Gradient, E/D/V due to uniform sources (point charge, infinite line charge, infinite surface charge) , Maxwell Equations for Electrostatics, Current, Current Density, physical interpretation.
Application Case Study: Electrostatic Discharge, Cathode Ray Oscilloscope.

Unit II: Magneto statics
Lorentz force, magnetic field intensity (H), Magnetic Flux Density(B), – Biot–Savart‘s Law – Ampere‘s Circuit Law – H due to straight conductors, circular loop, infinite sheet of current, Maxwell Equations for Magneto Statics, physical interpretation.
Application Case Study: Lightning, Magnetic Resonance Imaging (MRI).

Unit III: Boundary Conditions
Electric Dipole, Dielectric Polarization, Properties of Conductors, Dielectric Materials, Boundary conditions (dielectric-dielectric, conductor –dielectric), significance and applications of Poisson‘s and Laplace‘s equations - Capacitance, Energy density. Magnetization, magnetic materials, Boundary conditions for Magnetic Fields, Magnetic force, Torque.
Application Case Study: RF MEMS, Magnetic Levitation, Electromagnetic Pump.

Unit IV: Time Varying Electromagnetic Fields: Maxwell Equations

Scalar and Vector Magnetic Potential, Poisson’s and Laplace Equations, Faraday‘s law, Translational and motional emf, Displacement current density, Continuity Equation, Time varying Maxwell‘s equations - point form, integral form, Power and Poynting theorem, concept of Retarded magnetic vector potential.
Application Case Study: Memristor, Electric Motors, Generators.

Unit V: Uniform Plane Waves
Maxwell‘s equation using phasor notations, Electromagnetic wave equations (Helmholtz equation), Relation between E and H, depth of penetration, concept of polarization, Reflection by perfect conductor-normal incidence, reflection by perfect dielectric- normal incidence, Snell‘s law.

Application Case Study: Comparison of Circuit Theory at low frequency and Field theory at High frequencies, Antenna Radiation Mechanism, Propagation of EM energy.

Unit VI: Transmission Line Theory
Line parameters, skin effect, general solution, physical significance of the equations, wavelength, velocity of propagation, the distortion less line, Reflection on a line not terminated in Z0, reflection coefficient, open and short circuited lines, reflection coefficient and reflection loss, standing waves; nodes; standing wave ratio, Input impedance of dissipation less line, Smith Chart and its applications in solving the transmission line parameters.
Application Case Study: Coaxial Cable, Twisted Pair, Microwave Waveguides