Electromagnetic Field Theory

Objective:

‘Analog Electronics’ deals with the design and analysis of various electronic circuits such as rectifiers, amplifiers, oscillators, etc.,

Course outcomes

At the end of this course, students will be able to

Apply the knowledge of Vector Calculus in the analysis of Electromagnetic fields.

Apply the knowledge of Coulomb's law in deriving electric field intensity for various symmetric and non-symmetric charge distributions.

Apply the knowledge of Gauss's law in deriving electric field intensity for various symmetric charge distributions.

Apply the knowledge of Biot-Savat's law and Ampere's Circuital law in deriving magnetic field intensity.

Topics Covered!!!

Vector Calculus: Scalar vs Vector, Vector identities, Rectangular, cylindrical and spherical coordinate systems, Line, surface and volume integrals, Gradient of a scalar field, Divergence of a vector field, Divergence theorem, Curl of a vector field, Stoke’s theorem, Null identities, Helmholtz’s theorem, Verify theorems for different path, surface and volume.

Electrostatics: Electric field, Coulomb’s law, Gauss’s law and applications, Electric potential, Conductors in static electric field, Dielectrics in static electric field, Electric flux density and dielectric constant, Boundary conditions, Electrostatics boundary value problems, Capacitance, Parallel, cylindrical and spherical capacitors, Electrostatic energy, Poisson’s and Laplace’s equations, Uniqueness of electrostatic solutions, Current density and Ohm’s law, Electromotive force and Kirchhoff’s voltage law, Equation of continuity and Kirchhoff’s current law

Magnetostatics: Lorentz force equation, Ampere’s law, Vector magnetic potential, Biot-Savart law and applications, Magnetic field intensity and idea of relative permeability, Calculation of magnetic field intensity for various current distributions Magnetic circuits, Behaviour of magnetic materials, Boundary conditions, Inductance and inductors, Magnetic energy, Magnetic forces and torques.

Time varying fields and Maxwell’s equations: Faraday’s law, Displacement current and Maxwell-Ampere law, Maxwell’s equations, Potential functions, Electromagnetic boundary conditions, Wave equations and solutions, Time-harmonic fields, Observing the Phenomenon of wave propagation with the aid of Maxwell’s equations

Plane Electromagnetic waves: Plane waves in lossless media, Plane waves in lossy media (low-loss dielectrics and good
conductors), Group velocity, Electromagnetic power flow and Poynting vector, Normal incidence at a plane conducting boundary, Normal incidence at a plane dielectric boundary.