Analog Electronics

Social Science: Introduction to sociology, anthropology – social science research design and sampling.

Ethics: Professional and personal ethics – values & norms and human rights.

Review of Maxwell’s Equations – Boundary Conditions – Pointing Vector.

Electromagnetic Waves: Wave equation & Uniform Plane waves – Plane waves in lossy and lossless mediums – Normal and oblique incidences of plane waves.

Transmission Line Theory: LCR model for transmission lines – Analogy with wave equations – characteristics of lossless lines – VSWR, Impedance matching – Smith chart – Case study.

Time domain analysis: Transients in electrical circuits - RL, RC and RLC circuits, DC and AC circuits, switched capacitor circuits, conservation of charge, passive filters, resonance in networks, magnetic circuits and magnetically coupled circuits.

Laplace domain analysis: Laplace transform basics, initial and final value theorems, properties of Laplace transforms, initial value problems, applications of Laplace transforms for networks solving

Two-port networks, graph theory and network synthesis.

Electromagnetic Waves:

Linear Algebra: matrices- solution space of system of equations Ax=b, eigenvalues and eigenvectors, Cayley-Hamilton theorem – vector spaces over real field, subspaces, linear dependence, independence, basis, dimension – inner product – Gram-Schmidt orthogonalization process – linear transformation- null space & nullity, range and rank of linear transformation.

Fluid properties – fluid statics – integral control volume formulation – applications of Bernoulli equation – fluid kinematics – differential formulation, continuity and momentum equations – exact solutions of Navier-Stokes equation– dimensional analysis – pipe flow – potential flow – boundary layer theory.

Concepts of stress, strain – torsion – axial force, shear, and bending moment – pure bending – shear stress in beams – transformation of stresses and strains – deflection of beams columns; Euler loads, beam-columns, eccentrically loaded columns – energy methods, virtual displacement method, virtual force method.

Introduction to applications – basic concepts and definitions – thermodynamic properties of pure substances – saturated and other states– work and heat, definition and applications – first law, internal energy and enthalpy, applications to non-flow and flow systems – second law, corollaries, Clasius inequality, entropy – availability, irreversibility and exergy – thermodynamic cycles – basics of gas-vapor mixtures and reacting systems – thermodynamic relations – combustion thermodynamics, stoichiometry, first, second, and third laws of thermodynamics applied to combustion.

Brief survey of the Newtonian mechanics of a particle and systems of particles; Constraints , generalised coordinates, D'Alembert's principle and Lagrange's equation, velocity dependent potential and dissipation function.

Variational principles and Lagrange's equations, Lagrange multipliers,conservation theorems and symmetry properties.

Central force motion, Kepler's laws,orbital dynamics, stability of circular orbits, precession of equinoxes and of satellite orbits.

Rigid body motion, Euler angles, inertia tensor and moment of inertia.