TECH ELECTRICAL AND ELECTRONICS ENGINEERING

TECH ELECTRICAL AND ELECTRONICS ENGINEERING

On successful completion of this course, students will be able to: Calculate eigenvalues and eigenvectors, apply Caley-Hamilton theorem, and diagonalize of symmetric matrices and demonstrate the nature of quadratic forms Discuss the convergence and divergence of sequence and series of real numbers using various tests Demonstrate understanding of the derivatives of functions of several variables, viz., partial and total differentiation, and differentiation of implicit functions and optimize the functions of several variables using Hessian method and Lagrangian method. Evaluate double integration and triple integration using Cartesian, polar co-ordinates and the concept of Jacobian of transformation from one coordinate system to another coordinate system. Identify the improperness in integrals and evaluate the integrals using appropriate mathematical tools and how to apply beta and gamma integrals keeping improperness in mind.Characteristic equation – Eigen values and Eigen vectors of a real matrix – Statement of Cayley- Hamilton theorem – Applications of Cayley -Hamilton theorem in finding the inverse of a non-singular matrix and the power of a square  matrix – Diagonalization of symmetric matrices – Nature of  Quadratic formsSequences – Convergence of series – Series of positive terms – Tests   for convergence (n-th term, ratio, comparison, root and integral tests) and divergence –  Leibnitz test for alternating series –Series of positive and negative terms  – Absolute and conditional convergence– Power series – Taylor and Maclaurin series.

Have a fundamental understanding of basic physics concepts and its applications in a day to day life, demonstrate the knowledge in ultrasonic applications and its importance and explain the utilizations of the electron beams in modern technologies such s CRT, CRO, etc. Be able to explain the basic understandings of the matter, crystal structure and its fundamental properties including crystal systems and Miller indices and show their understanding of the conductivity nature of metals and the classification of the solids learned from the Band Theory of Solids. Be able to understand the widely used current technologies such as mobile phones, solar cells for which semiconductor technology is essential. The concept of semiconductors and its wide applications will motivate the students to the currently developing topics.Introduction, sound waves – Pitch and Intensity. Reflection of sound waves, Sabine formula, absorption of sound, reverberation theory. Ultrasonic’s – production – magnetostriction oscillator and piezoelectric oscillator. Properties and applications. UNIT -II: ELECTRON OPTICS 9 Introduction, Electron-refraction-Bethe’s law, Electron Gun and Electron Lens. Cathode Ray Tube and Cathode Ray Oscilloscope.

Cyclotron, Bainbridge Mass Spectrograph. Optical microscope, Electron Microscope – Applications. UNIT -III: CRYSTAL STRUCTURES AND X-RAYS 9 Introduction, Space lattice, unit cell, lattice parameters, Bravais Lattice – Crystal systems. Characteristics of Unit cell (Cubic System). Miller indices of planes. X-Rays –production, Bragg’s Law. Powder crystal method and rotating crystal method. UNIT -IV: BAND THEORY OF SOLIDS 9 Introduction, Electrical conduction, conductivity, drift velocity, influence of external factors on conductivity. The Band Theory of solids, Energy Bands, Energy Gap. Classification of solids, Energy Band structure of a conductor. Fermi-Dirac distribution function and Fermi Energy. Energy Band structure of an Insulator and semiconductor. UNIT -V: SEMICONDUCTORS 9 Introduction, Types- Intrinsic and Extrinsic semiconductors. Intrinsic carriers-electron and hole concentrations. Fermi level in intrinsic carrier density, Conductivity, Doping of impurities-N-type and P-Type. Temperature variation-law of mass action-Charge neutrality condition- Fermi level in extrinsic semiconductor-Hall effect. Applications- Semiconductor diode, Transistor, FET, MOSFET.After completing first semester, students from all branches of engineering will possess: Students will have knowledge about the design of boilers and its conditioning methods Students will develop understanding of the concepts and importance of the domestic water treatment methodology which is useful for the industries. Students will have knowledge about the industrial applications of adsorption techniques. Students will have knowledge about the energy sources and batteries along with the need of new materials to improve energy storage capabilities. Students will have understanding about spectroscopic instruments required for discovery and characterization methods of new materials.Take Laplace transformation of different types of functions, derivatives and integrals, and how it converts complex systems into simple algebraic equations to find out solutions Demonstrate the understanding of solving ordinary differential equations using operator methods, method of undetermined coefficients, method of variation of parameters and Laplace transformation techniques Perform gradient, divergence and curl operations in vector and scalar fields, apply Green’s theorem, Gauss Theorem, and Stokes theorem as the generalization of fundamental theorem of Integral calculus. Distinguish between real function differentiation and complex function differentiation, applicability of analytic and harmonic nature of complex valued function in electrical engineering and study of fluids Apply complex integration using Cauchy’s integral theorem and Cauchy’s residue theorem and their applications in evaluating integrals.