Cartesian, cylindrical and spherical co-ordinate systems, scalar and vector fields, gradient, divergence and curl of avector field, Divergence theorem and Stokes’s theorem, concept of vectors.Electrostatic Fields – Coulomb’s law, electric field intensity due to different charge distribution viz. line charge, sheet charge, Field due to continuous volume – electric potential, properties of potential function, potential gradient equipotential surfaces, line of force, Gauss law, applications of Gauss law, Gauss law in point form method of images.

Laplace’s and Poisson’s equations, solution of Laplace’s equation. Electric dipole, dipole moment, potential and electric field intensity due to dipole. Behavior of conductors in an electric field. Conductor and insulator, electric field inside a dielectric, polarization. Boundary value conditions for electric Field. Capacitance and Capacitances of varioustypes of capacitors. Energy stored and energy density in static electric field. Current density, conduction and convection current density, Ohms law in point form, equation of continuity.

Static Magnetic Field, Biot-Savart’s law, Magnetic Field intensity due to straight current carrying filament, circular,square and solenoidal current carrying wire. Relationship between magnetic flux, flux density and magnetic fieldintensity.Ampere’s circuital law and its applications, magnetic field intensity due to infinite sheet and various otherconfigurations, Ampere’s circuital law in point form.Magnetic force, moving charge in a magnetic field, Lorentz force on straight and long current carrying conductors inmagnetic field, force between two long and parallel current carrying conductors. Magnetic dipole and dipole moment,a differential current loop as dipole, torque on a current carrying loop in magnetic field, magnetic boundary conditions.

Scalar magnetic potential and its limitations, Vector magnetic potential and its properties, vector magnetic potentialdue to different simple configurations;Self and Mutual inductances, determination of self and mutual inductances, self inductance of solenoid, toroid coils,mutual inductance between a straight long wire and a square loop. Energy stored in magnetic Field and energydensity.Faraday’s Law, transformer and motional EMF equations. Displacement current, Maxwell’s equations asgeneralization of circuit equations, Maxwell’s equation in free space, Maxwell’s equation for harmonically varyingfield, static and steady fields. Maxwell’s equations in differential and integral form.

Electro Magnetic Waves: Uniform plane wave in time domain in free space, Sinusoidally time varying uniform plane wave in free space, Wave equation and solution for various medium, Uniform plane wave in dielectrics and conductors.Poynting Vector theorem, instantaneous, average and complex poynting vector, power loss in a plane conductor,energ storage.Polarisation of waves. Reflection by conductors and dielectric – Normal and Oblique incidence. Reflection at surfaceof a conducting medium, surface impedance, transmission line analogy.