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CE/CS/EB/EC /EE/EI/IT/ME/MRE/SE 301Engineering Mathematics III
Module I
Fourier series and Fourier integrals : Periodic functions, Euler formulae for Fourier coefficients, functions having arbitrary period, even and odd functions, half range expansions, Fourier integral, Fourier cosine and sine transformations, linearity property, transform of derivatives, convolution theorem (no proof) Gamma and Beta functions , error functions - definitions and simple properties.
Module II
Special functions: Legendre polynomial, Rodrigue's formula- generation function, recurrence formula for Pn (x), orthogonality.
Bessel function, Jn(x)- recurrence formula, general function, orthoganilty.
Module III
Partial differential equations : Solutions of equations of the form F(p, q) = 0, F(x,p,q)=0, F(y,p,q)=0, F(z,p,q)=0, F1(x,p) = F2 (y,q), Lagrange's form Pp+Qq = R.
Vibrating string: one dimensional wave equation, D'Alembert's solution, solution by the method of separation of variables. One dimensional heat equation, solution of the equation by the method of separation of variables, solutions of Laplace's equation over a rectangular region and a circular region by the method of separation of variables.
Module IV
Probability and Statistics : Probability distributions : random variables (discrete & continuous), probability density, mathematical expectation, mean and variance of a probability distribution, binomial distribution, Poisson approximation to the binomial distribution, uniform distribution , normal distribution
Curve fitting : method of least squares, correlation and regression, lines of regression.
Module V
Sampling distributions : population and samples, the sampling distribution of the mean (? known), the sampling distribution of the mean (? unknown), the sampling distribution of the variance, point estimation, interval estimation, tests of hypotheses, null hypotheses and significance tests, hypothesis concerning one mean, type I and type II errors, hypotheses concerning two means.
The estimation of variances:Hypotheses concerning one variance - Hypotheses concerning two variances.
Note: - Treatment of the topics under M odules IV, V should be oriented towards application of statistical techniques to problems in real life.
References:
1) Ervin Kreyszig : Advanced Engineering Mathematics, Wiley Eastern
2) Potter, Goldberg : Mathematical Methods, Prentice - Hall
3) Churchill R.V. : Fourier series and Boundary Value Problems - M cGraw Hill
4) Irvrin M iller & John E. Freind : Probability and statistics for Engineers , Prentice Hall of India.
5) Bowker and Lieberman : Engineering Statistics Prentice - Hall
6) Kirk- Patrick : Introductory statistics and probability for engineering science and technology , Prentice -Hall
7) Parzen E : M odern Probability Theory and its Applications, W iley estern.
CS/EB/EC/EI/IT/ME/MRE 302 Electrical Technology
Module I
Transformers: working principles and elementary theory of an ideal transformer, Constructional features of single phase transformer, emf equation, turns ratio, vector diagram , equivalent circuit, impedance transformation, transformer losses, flux leakage, efficiency, open circuit and short circuit test, load test. Auto transformer - working principle and saving copper, basic idea of current transformer and potential transformer, distribution and power transformer, applications, standard rating, IS specifications.
Module II
Basic principles of electrical machines: Concepts of motoring and generating action, DC machines- Main constructional features, principles of operation, types of generators, emf equation, characteristics, applications, armature reaction and commutation, types of motors, torque, speed, and power, characteristics, applications, starting losses, and efficiency, speed control, testing, load test of dc machines.
Module III
AC Machines: Alternator- rotating field, speed and frequency, effect of distribution of winding, coil span, characteristics, emf equation, losses and efficiency, regulation (emf method only), applications, synchronous motor- principle of operation, over excited and under excited, starting, applications, synchronous capacitor.
Module IV
Induction Motor: Three phase induction motor, principles of operation, constructional features of squirrel cage and slip ring motors, torque-slip characteristics, starting, speed control, losses and efficiency.
Single phase induction motor: Principle of operation, types of single phase induction motors
Module V
Generation,transmission & distribution of electrical energy: Different methods of power generation- thermal, hydro-electric, nuclear, diesel, gas turbine stations (general idea only), electrical equipments in power stations, concept of bus bar, load dispatching, methods of transmission, transmission lines, overhead lines and insulators, corona and skin effect of DC & AC distribution, substation (elementary idea only)
References:
1) Electrical Machines : By F.S.Bimbra, Khanna publications.
2) Advanced Electrical Technology : By H.Cotton, Wheeler publications.
3) Electrical Machines : Nagarath & Kothari, (TMH)
EC 303 NETWORK THEORY
Module I
Review of basic circuit concepts - Classification of circuits ,passive circuit elements, characteristics, sources definition of Graphs, cutsets and loops, true, incidence matrix Node and Mesh analysis by inspection : Application of graph theoretic methods to formulation of network equations - Two port networks - Characterisation in terms of hybrid and transmission parameters , Inter-connection of 2 ports - series , parallel and cascade.
Module II
Signal representation in time domain and frequency domain : Representation of a wave using Fourier expansion. Characteristics of signals - Unit step function , impulse, ramp functions and non sinusoidal signals, Network response in time domain.
Module III Laplace Transform Transfer function of linear systems Transients in linear circuits - Initial conditions - Rise and decay of current in RL circuit - Time constant - RC circuits with - impressed DC voltage - RL and RC circuits with applied sinusoidal voltage - DC transients in RLC circuits - Damping
Module III
Network transmission criteria : Signal distortion in transmission - relationship between bandwidth and rise time, delay time and network function - Filters : analysis of constant K and M derived filters .-
Module IV
Transmission lines: Types, Basic differential equations for V and I , Lumped parameter model, characteristic Impedence, propagation constant, phase and group velocities; Steady state response of lines: Relation ship between sending end and receiving end parameters, Impedence at a point, Impedence transformers, standing waves, Standing wave ratio, VSWR
References :
1) Roy C. choudhary "Network Analysis ,"
2) Pottie & Fitch ,"Theory of network and linear systems", Asian Publishing House
3) Van Valkinburg ,"Network Analysis" Indian Publishing House
4) Rider ,"Network Lines and Fields"
5) C A Demoor and E J Kah ,"Basic Circuit Theory"
6) Ruston and Burdogen ,"Electronic Network, Functions , Filters, Analysis"
7) N C Gupta , J W Daylogi ,"Circuit Analysis"
8) Sudhakar "Circuits &Networks Analysis & Synthesis" TMH
CS /EB/EC/EE /EI 304 Digital Electronics
Module I
Number system and codes: Binary, Octal, and Hexa-decimal number systems - Binary arithmetic, Binary code, Excess - 3 code Gray error detection and correction - Boolean algebra - Minimization of Boolean function using Karnaugh Map and Quine - Mclusky methods - Formation of switching functions from word statements, realisation using NAND, NOR & X - OR Gates. Combinational circuits- multiplexer demultiplexer decoder encoder
Module II
Sequential circuits: Flip-flops - RS, JK & T & D flip- flops, shift registers - counters - Asynchronous and synchronous counters, Up-Down counter, Modulo counter, Ring counter, Johnson counter - sequence generators - Analysis of sequential circuits - state table and diagrams
Arithmetic circuits: Half adder, Full adder, Subtractor, Serial and parallel addition - Carry look ahead adder - Binary multiplication and division - Multivibrators - Monostable and astable multivibrators using discrete gates. Memories - ROM, RAM, EPROM, Programmable logic array, devices - Basic ideas - PLD architecture - PAL and PLA - Programming examples with software tools - Study of PAL 22v10
Logic families: DCTL, RTL, DTL, TTL, ECL, CMOS - Tri-state logic - specification and transfer characteristics of basic TTL interfaces, - Standard logic levels - Current and voltage parameters - fan in and fan out - Propagation delay, integrated circuit modules, noise consideration- interfacing of CMOS to TTL and interfacing of TTL to CMOS
References:
1) Taub & Schilling, "Digital Integrated Electronics", Mc Graw Hill
2) Samuel C Lee, "Digital Circuits and Logic Design", Prentice Hall
3) A P Malvino,"Digital Computer Electronics", Tata Mc Graw Hill
4) Morris & Miller, "Design with TTL Integrated Circuit", Mc Graw Hill
5) Peatman , "Digital Hardware Design", Mc Graw Hill
6) Ronald J Tocci , "Digital Systems, Principles and Applications ", Prentice Hall
7) Lloyd T L, "Digital Fundamentals", Universal, N. Delhi
8) Mercins, "Switching Circuits", Prentice Hall
9) MOS-LSI Circuits, Publication of Texas Instruments
10) Douglas V Hall, "Digital Circuits and Systems", Mc Graw Hill
11) R P Jain, Principles of Digital Electronics
EB/EC/EE/EI 305 SOLID STATE ELECTRONICS & CIRCUITS
Module I
Band theory of solids - Conductors , semiconductors and insulators - energy band diagram. -Semi conductor materials and their properties: elemental semiconductors- the energy band model of semiconductors. valance band model of semiconductor equilibrium concentration of electrons and holes- the fermi level and energy distribution of carriers inside the bands- temperature dependence of carrier concentration inside the bands. - Carrier transport in semi conductors - drift of carriers in electric fields, carrier flow by diffusion - constancy of fermi level across j unction , Excess carriers in semi conductors - inj ection of excess carriers - recombination of excess carriers - continuity equation - current flow equation.
Module II
PN j unction- Abrupt PN j unction - energy band diagram - barrier potential, biasing PN j unction, excess carrier calculation - current components diffusion - drift - boundary conditions for long and short diodes - PN j unction characteristics - calculation of diffusion dep;etion layer capacitance - simple model - principle of zener and avalanche diodes - photodiodes -LDR - tunnel diode and PIN diode -varactor diode.
Module III
Bipolar j unction transistors - NPN, PNP types , Basic structures - biasing - mechanism of carrier flow - current components in transistors boundary conditions in active region - solution for short base width - basewidth modulation - Transistor configurations - Characteristics - current amplification factors - relations between alpha & beta - comparison Ebbers - Moll model - Field effect transistors : JFET - basic structures - principle of operation - Characteristics and current equation - basic principles of phototransistors - UJT, characteristics.
Module IV
MOSFET - semiconductor surfaces - C - V characteristics - the Si - SiO2 System - basic structures and operating principles - current equation - V-I characteristics - simple model - CMOS. Compound semiconductor - semiconductor heteroj unctions - V-I characteristics - real heteroj unctions - frequency limitation of transistor - transit time effect - heteroj unction bipolar transistor.
Module V
DC power supplies - power transformers - rectification - half wave , full wave, bridge - expression for ripple factor, efficiency, comparison, diode ratings. filters - capacitor - inductor LC filters- use of bleeder resistor - voltage multipliers - dual power supplies - simple voltage regulator. Series regulators - IC regulators.
Text Books:-
1) Streetman , "Solid State Electronics Devices", Pearson Education, (Module I to IV)
2) Ramanan," Functional Electronics" (Module V)
References:
1) "Electronic Devices ", Learning Material Series, ISTE, NewDelhi 1997
2) Electronic Devices & Circuits, Millman & Halkias
3} Solid state electronics IV th edition, George B Rutkowski, Mc Graw Hill
EB/EC/EI 306 BASIC ELECTRONICS LABORATORY
1. Study of - Multimeter, Signal generators, CRO etc. and measurement of electrical quantities (V,I,FREQUENCY,PHASE)
2. Testing of Passive and Active components - Resistors , Capacitors, inductors , Transformers , diodes, Transistors, etc.
3. Characteristics of Active devices
i) Forward and reverse characteristics of a diode - measur ement of forward resistance
ii) Common base characteristics of a transistor - measurement of current gain, input resistance and output resistance, maximum ratings of the transistor.
iii) Common emitter characteristics of a transistor - measurement of current gain, input resistance and output resistance, relation between and study of the effect of leakage current, maximum ratings of the transistor.
iv) Common source characteristics of a JFET - measurement of transconductance gm and drain to source resistance r ds , use of FET as VVR.
4. Rectifying circuits
i) HW rectifier
ii) FW rectifier
iii) FW Bridge rectifier
iv) Filter circuits - Capacitor filter, inductor filter and Pi section filter ( Measurement of ripple factor, maximum ratings of the devices )
5. Clipping and clamping circuits using diodes / transistors
CS /EB/EC /EI 307 Electrical Lab
Compulsory experiments
1. (a) Preliminary study of AC and DC Power supplies in the laboratory.
(b) Study of instruments and their mode of use
2. Open circuit characteristics of
(a) Self excited generator
(b) Separately excited generator.
3. Load characteristic of compound generator
4. Load characteristic of shunt generator
5. Study of face plate starter and starting of DC motors
6. Load characteristics of DC series motor.
7. Swinburn's test
8. Polarity and transformation ratio test on single phase transfer.
9. O.C & SC test on single phase transformer - equivalent circuit
10. Load rest on single phase transformer.
11. Study of starting methods of squirrel cage and slip ring induction motor.
12. Load test on slip ring induction motor and study of characteristics.
Optional Experiments
1. Study of single phase motors.
2. Load test of DC shunt motor.
3. Poly phase connection of single phase transformer.
4. Load test on squirrel cage induction motor
5. Study of alternators.