Differential length, area and volume in different coordinate systems.
2)Introduction to Vector calculus: DEL operator, Gradient of a scalar, Divergence of a vector & Divergence theorem, Curl of a vector & Strokes theorem, Laplacian of a scalar, Classification of vector fields, Helmholtz’s theorem.
3)Electrostatic field: Coulomb’s law, field intensity, Gauss’s law, Electric potential and Potential gradient, Relation between E and V, an Electric dipole and flux lines. Energy density in electrostatic field.
4)Boundary conditions: Dielectric-dielectric, Conductor – dielectric, Conductor-free space.Poisson’s and Laplace’s equation, General procedure for solving Poisson’s and Laplace’s equation.
5)Magneto static fields: Biot- savart law, Ampere’s circuit law, Magnetic flux density, Magnetic static and Vector potential, Forces due to magnetic field, Magnetic torque and moments, Magnetisation in material, Magnetic boundary condition, Inductor and Inductances, Magnetic energy, Force on magnetic material.
6)Electromagnetic fields: Faraday’s law, Transformer and motional emf, Displacement current, Maxwell’s equations, Time varying Potential, Time harmonic fields.
7)Electromagnetic wave propagation: Wave equation, Wave propagation in lossy dielectric, Plane waves in loss less dielectric, Plane wave in free space, Plane wave in good conductor, Skin effect, Skin depth, Power & Poynting vector, Reflection of a plane wave at normal incidence, reflection of a plane wave at oblique incidence, Polarization.
8)Transmission line: Concept of lump & distributed parameters, Line parameters, Transmission line equation & solutions, Physical significance of solutions, Propagation constants, Characteristic impedance, Wavelength, Velocity of propagation.