UNIT I - FOURIER SERIES

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half-range

Sine and Cosine series – Complex form of Fourier Series – Parseval’s identity –

Harmonic Analysis.

Sine and Cosine series – Complex form of Fourier Series – Parseval’s identity –

Harmonic Analysis.

UNIT II - PARTIAL DIFFERENTIAL EQUATIONS

Formation – Solutions of first order equations – Sandard types and Equations

reducible to standard types – Singular solutions - Lagrange’s Linear equation –

Integral surface passing through a given curve – Solution of linear equations of

higher order with constant coefficients.

reducible to standard types – Singular solutions - Lagrange’s Linear equation –

Integral surface passing through a given curve – Solution of linear equations of

higher order with constant coefficients.

UNIT III - APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS

Method of separation of Variables – Solutions of one dimensional wave equation, -

One-dimensional heat equation – Steady state solution of two-dimensional heat

equation – Fourier series solutions in Cartesian coordinates.

One-dimensional heat equation – Steady state solution of two-dimensional heat

equation – Fourier series solutions in Cartesian coordinates.

UNIT IV - FOURIER TRANSFORM

Fourier integral theorem – Fourier transform pair-Sine and Consine transforms –

Properties – Transform of simple function – Convolution theorem - Parseval’s

identity.

Properties – Transform of simple function – Convolution theorem - Parseval’s

identity.

UNIT V - Z – TRANSFORM AND DIFFERENCE EQUATION

Z-transform-Elementary properties-Inverse z transform – Convolution theorem-

Formation of difference equation-Solution of difference equation using z transform.

Formation of difference equation-Solution of difference equation using z transform.

Lecture – 45

Tutorial – 15

Total : 60 PERIODS

TEXT BOOK:

1 B.S.Grewal, “Higher Engineering Mathematics”, Khanna Publications (2007)

REFERENCES:

1 Glyn James, “Advanced Modern Engineering Mathematics, Pearson

Education (2007)

2 B.V.Ramana, “Higher Engineering Mathematics” Tata McGraw Hill 2007.

3 N.P.Bali, and Manish Goyal, “A Text Book of Engineering 7th Edition

(2007) Lakshmi Publications (P) Limited, New Delhi.

**ELECTRONIC DEVICES AND CIRCUITS**

OBJECTIVES:

To acquaint the students with construction, theory and characteristics of the following

electronic devices:

P-N junction diode, Bipolar transistor, Field Effect transistor, LED, LCD and other

photo electronic devices, Power control/regulator devices, Feedback amplifiers and

oscillators

UNIT I - PN JUNCTION DEVICES

PN junction diode –structure, operation and V-I characteristic-current equation of drift

current density and diffusion current density-diffusion and transient capacitance –

display devices- LED, Laser diodes Zener breakdown-zener reverse characteristic –

zener as regulator

current density and diffusion current density-diffusion and transient capacitance –

display devices- LED, Laser diodes Zener breakdown-zener reverse characteristic –

zener as regulator

UNIT II - IPOLAR JUNCTION TRANSISTORS

– structure , operation and V-I characteristic- MOSFET – structure, operation and VI

characteristic – types of MOSFET – JFET –structure, operation and V-I

characteristic

characteristic – types of MOSFET – JFET –structure, operation and V-I

characteristic

UNIT III - AMPLIFIERS

BJT small signal model – biasing – analysis of CE, CB, CC amplifiers- Gain and

frequency response – MOSFET small signal model – biasing – analysis of CS and

source follower – gain and frequency response.

frequency response – MOSFET small signal model – biasing – analysis of CS and

source follower – gain and frequency response.

UNIT IV - MULTISTAGE AMPLIFIERS AND DIFFERENTIAL AMPLIFIER

BIMOS cascade amplifier, differential amplifier – common mode and difference mode

analysis – FET input stages – tuned amplifiers- single tuned amplifiers – gain and

frequency response – neutralization methods.

analysis – FET input stages – tuned amplifiers- single tuned amplifiers – gain and

frequency response – neutralization methods.

UNIT V - FEEDBACK AMPLIFIERS AND OSCILLATORS

Advantages of negative feedback – voltage ./ current, series , shunt feedback –

positive feedback – condition for oscillations, phase shift – Wien bridge, Hartley,

colpitts and crystal oscillators.

positive feedback – condition for oscillations, phase shift – Wien bridge, Hartley,

colpitts and crystal oscillators.

Lecture – 45

Tutorial – 15

Total : 60 PERIODS

TEXT BOOKS:

1. David A. Bell ,”Electronic devices and circuits”, Prentice Hall of India, 2004.

2. Seda smith, “Microelectronic circuits “ Oxford University Press, 2004.

REFERENCES:

1. Rashid, “Micro electronic circuits” Thomson publications, 1999.

2. Floyd, “Electron devices” Pearson Asia 5th Edition, 2001.

3. Donald A Neamen, “Electronic Circuit Analysis and Design” Tata McGrawHill,

3rd Edition, 2003.

**CONTROL SYSTEMS**

OBJECTIVE:

To impart knowledge on

To impart knowledge on

Different system representation, block diagram reduction and Mason’s rule.

Time response analysis of LTI systems and steady state error.

The open loop and closed loop frequency responses of systems.

Stability concept.

State variable analysis.

UNIT I - MATHEMATICAL MODELS OF PHYSICAL SYSTEMS

Definition & classification of system – terminology & structure of feedback control

theory –Analogous systems - Physical system representation by Differential

equations – Block diagram reduction– Signal flow graphs.

theory –Analogous systems - Physical system representation by Differential

equations – Block diagram reduction– Signal flow graphs.

UNIT II - TIME RESPONSE ANALYSIS & ROOT LOCUS TECHNIQUE

Standard test signals – Steady state error & error constants – Time Response of I

and II order system – Root locus – Rules for sketching root loci.

and II order system – Root locus – Rules for sketching root loci.

UNIT III - FREQUENCY RESPONSE ANALYSIS

Correlation between Time & Frequency response – Polar plots – Bode Plots –

Determination of Transfer Function from Bode plot.

Determination of Transfer Function from Bode plot.

UNIT IV - STABILITY CONCEPTS & ANALYSIS

Concept of stability – Necessary condition – RH criterion – Relative stability – Nyquist

stability criterion – Stability from Bode plot – Relative stability from Nyquist & Bode –

Closed loop frequency response.

stability criterion – Stability from Bode plot – Relative stability from Nyquist & Bode –

Closed loop frequency response.

UNIT V - STATE VARIABLE ANALYSIS

Concept of state – State Variable & State Model – State models for linear &

continuous time systems – Solution of state & output equation – controllability &

observability.

Lecture – 45 Tutorial – 15 Total : 60 PERIODS

continuous time systems – Solution of state & output equation – controllability &

observability.

Lecture – 45 Tutorial – 15 Total : 60 PERIODS

TEXT BOOK:

1. Nagrath I.J & M. Gopal, Control systems Engineering, 4th Edition, New Age

International, New Delhi, 2005.

2. Benzamin C. Kuo, Automatic Control systems, 7th Edition, Prentice-Hall

(Pearson Education, Inc.), New Delhi, 2003.

REFERENCES:

1. Norman S. Nise, Control Systems Engineering, 4th Edition, John Wiley, New

Delhi, 2007.

2. Richard C Dorf, Robert H Bishop, Modern control systems , 8th edition,

Prentice Hall (Pearson education, Inc.), New Delhi 2003.

3. Benzamin C. Kuo and Farid Golnaraghi, Automatic Control systems, 8th

Edition, John Wiley, New Delhi, 2003.

4. Eronini umez – Eronini – System Dynamics & Control, Thomson, New Delhi,

1999.

**ELECTROMAGNETIC THEORY**

OBJECTIVES:

To impart knowledge on vector fields - electrostatic and magnetostatic fields,

electrodynamics and electromagnetic waves.

To impart knowledge on vector fields - electrostatic and magnetostatic fields,

electrodynamics and electromagnetic waves.

PREREQUISITES

Vector algebra, Differential and Integral Calculus

UNIT I - INTRODUCTION

Sources and effects of electromagnetic fields – Vector fields – Different co-ordinate

systems – Vector calculus – Gradient, Divergence and Curl – Divergence theorem –

Stoke’s theorem.

systems – Vector calculus – Gradient, Divergence and Curl – Divergence theorem –

Stoke’s theorem.

UNIT II - ELECTROSTATICS

Coulomb’s Law – electric field intensity – Field due to point and continuous charges –

Gauss’s law and its applications – electrical potential – Electric field and equipotential

plots – electric field in free space, conductors, dielectric – dielectric polarization.

Electric field in multiple dielectrics – boundary conditions, Poisson’s and Laplace’s

equations – Capacitance – Energy density – Dielectric strength – Applications.

Gauss’s law and its applications – electrical potential – Electric field and equipotential

plots – electric field in free space, conductors, dielectric – dielectric polarization.

Electric field in multiple dielectrics – boundary conditions, Poisson’s and Laplace’s

equations – Capacitance – Energy density – Dielectric strength – Applications.

UNIT III - MAGNETOSTATICS

Lorentz Law of force, magnetic field intensity – Biot – Savart Law – Ampere’s Law –

Magnetic field due to straight conductors, circular loop, infinite sheet of current –

Magnetic flux density (B) – B in free space, conductor, magnetic materials.

Magnetization-Magnetic field in multiple media – Boundary conditions – Scalar and

vector potential – Magnetic force – Torque – Inductance – Energy density – Magnetic

circuits – Applications.

Magnetic field due to straight conductors, circular loop, infinite sheet of current –

Magnetic flux density (B) – B in free space, conductor, magnetic materials.

Magnetization-Magnetic field in multiple media – Boundary conditions – Scalar and

vector potential – Magnetic force – Torque – Inductance – Energy density – Magnetic

circuits – Applications.

UNIT IV - ELECTRO DYNAMIC FIELDS

Faraday’s law, induced emf – transformer and motional EMF, Maxwell’s equations

(differential and integral forms)- Displacement current – Applications - Relation

between field theory and circuit theory.

(differential and integral forms)- Displacement current – Applications - Relation

between field theory and circuit theory.

UNIT VI - ELECTROMAGNETIC WAVES

Generation – electro magnetic wave equations – Wave parameters; velocity, intrinsic

impedance, propagation constant – Waves in free space, lossy and lossless

dielectrics, conductors – skin depth, Poynting vector – Plane wave reflection and

refraction - Applications

TOTAL : 45 PERIODS

impedance, propagation constant – Waves in free space, lossy and lossless

dielectrics, conductors – skin depth, Poynting vector – Plane wave reflection and

refraction - Applications

TOTAL : 45 PERIODS

TEXT BOOKS:

1 Matthew. N.O. Sadiku, “Elements of Electromagnetics”, Fourth Edition, Oxford

University Press, First Indian Edition 2007.

2. Ashutosh Pramanik, “Electromagnetism – theory and application,” Prentice Hall

of

India Private Ltd., New Delhi, 2006.

REFERENCES:

1. William H.Hayt Jr. and John A Buck “Engineering Electromagnetics”, Seventh

Edition, Tata McGraw Hill Publishing Company Ltd., New Delhi, 2006.

2. J.A.Edminister, Schaum’s Outlines “Theory and problems of Electromagnetics”,

Tata Mc Graw hill, Second Edition, Special Indian Edition 2006.

3. Guru and Hiziroghu “Electromagnetic field theory fundamentals”, Thomson Asia

Pvt. Ltd., 1998.

4. John D Kraus, Daniel A Fleisch “Electromagenetics with Applications”, Tata

McGraw Hill International Edition, 1999.

**MEASUREMENTS AND INSTRUMENTATION**

OBJECTIVES:

Introduction to general instrument system, error, calibration etc.

Emphasis is laid on analog and digital techniques used to measure voltage,current, energy, power and non-electrical parameters.

To have an adequate knowledge of comparison methods of measurement.

Elaborate discussion about storage & display devices.

Exposure to various transducers and data acquisition system.

UNIT I - QUALITIES OF MEASUREMENT

Functional elements of an instrument – Static and dynamic characteristics – Errors in

measurement – Statistical evaluation of measurement data – Standards and

calibration.

measurement – Statistical evaluation of measurement data – Standards and

calibration.

UNIT II - PRIMARY SENSING ELEMENTS AND SIGNAL CONDITIONING

Principles, Classification of sensors and transducers – Selection of transducers –

Resistive, capacitive & inductive transducers – Piezoelectric, optical and digital

transducers – Basic Instrumentation Amplifier, Sample and Hold Circuit, A/D and D/A

converters

Resistive, capacitive & inductive transducers – Piezoelectric, optical and digital

transducers – Basic Instrumentation Amplifier, Sample and Hold Circuit, A/D and D/A

converters

UNIT III - LECTRICAL MEASUREMNETS AND INSTRUMENTS

Principle and types of analog voltmeters, ammeters, multimeters – Single and three

phase wattmeters and energy meters – Magnetic measurements –Instrument

transformers – Instruments for measurement of frequency and phase.

phase wattmeters and energy meters – Magnetic measurements –Instrument

transformers – Instruments for measurement of frequency and phase.

UNIT IV - MEASUREMENT OF PASSIVE ELEMENTS

Resistance measurement: Conventional methods, Wheatstone bridge, sensitivity of

wheatstone bridge – Kelvin’s bridges – Kelvin’s double bridge method –

Measurement of high resistance – megohm bridge method – Inductance

measurement: Maxwell’s inductance bridge – Maxwell’s LC bridge – Hay’s bridge –

Anderson’s bridge – Capacitance measurement: De Sauty’s bridge – Schering

bridge – Measurement of frequency : Wien’s bridge.

wheatstone bridge – Kelvin’s bridges – Kelvin’s double bridge method –

Measurement of high resistance – megohm bridge method – Inductance

measurement: Maxwell’s inductance bridge – Maxwell’s LC bridge – Hay’s bridge –

Anderson’s bridge – Capacitance measurement: De Sauty’s bridge – Schering

bridge – Measurement of frequency : Wien’s bridge.

UNIT V - BASIC MEASUREMENT METHODS OF NON-ELECTRICAL

PARAMETERS

Measurement of Pressure: Comparison with known dead weights - Temperature:

Thermocouple – pyrometers - Flow: Flow meters – Rotameters – Electromagnetic

flow metres – Level: Mechanical, Electrical and optical level indicators - Speed:

tachometers – stroboscopic methods, gyroscopes - Acceleration, Humidity:Wet and

dry bulb hygrometer – Dunmore and pope cells, conductivity cells.

Thermocouple – pyrometers - Flow: Flow meters – Rotameters – Electromagnetic

flow metres – Level: Mechanical, Electrical and optical level indicators - Speed:

tachometers – stroboscopic methods, gyroscopes - Acceleration, Humidity:Wet and

dry bulb hygrometer – Dunmore and pope cells, conductivity cells.

TOTAL : 45 PERIODS

TEXT BOOKS:

1. A.K. Sawhney, ‘A Course in Electrical & Electronic Measurements &

Instrumentation’, Dhanpat Rai and Co, 2004.

2. J. B. Gupta, ‘A Course in Electronic and Electrical Measurements’, S. K. Kataria &

Sons, Delhi, 2003.

REFERENCES:

1. E.O. Doebelin, ‘Measurement Systems – Application and Design’, Tata McGraw

Hill publishing company, 2003.

2. Alan S. Morris,” Measurement & Instrumentation Principles”, Elsevier

Publications, 2001

3. Arun K. Ghosh, “ Introduction to Measurements and Instrumentation”, Second

Edition, PHI, 2007.

**DIGITAL SYSTEM DESIGN**

OBJECTIVES:

i. To study various number systems and to simplify the mathematical expressions

using Boolean functions – simple problems.

ii. To study implementation of combinational circuits

iii. To study the design of various synchronous and asynchronous circuits.

iv. To expose the students to various memory devices.

v. To introduce digital simulation techniques for development of application oriented

logic circuit.

i. To study various number systems and to simplify the mathematical expressions

using Boolean functions – simple problems.

ii. To study implementation of combinational circuits

iii. To study the design of various synchronous and asynchronous circuits.

iv. To expose the students to various memory devices.

v. To introduce digital simulation techniques for development of application oriented

logic circuit.

UNIT I - BOOLEAN ALGEBRA AND COMBINATIONAL CIRCUITS

Boolean algebra: De-Morgan’s theorem, switching functions and simplification using

K-maps & Quine McCluskey method, Design of adder, subtractor, comparators, code

converters, encoders, decoders, multiplexers and demultiplexers.

K-maps & Quine McCluskey method, Design of adder, subtractor, comparators, code

converters, encoders, decoders, multiplexers and demultiplexers.

UNIT II - SYNCHRONOUS SEQUENTIAL CIRCUITS

Flip flops - SR, D, JK and T. Analysis of synchronous sequential circuits; design of

synchronous sequential circuits – Counters, state diagram; state reduction; state

assignment.

synchronous sequential circuits – Counters, state diagram; state reduction; state

assignment.

UNIT III - ASYNCHRONOUS SEQUENCTIAL CIRCUIT

Analysis of asynchronous sequential machines, state assignment, asynchronous

design problem.

design problem.

UNIT IV - PROGRAMMABLE LOGIC DEVICES, MEMORY AND LOGIC FAMILIES

Memories: ROM, PROM, EPROM, PLA, PLD, FPGA, digital logic families: TTL,

ECL, CMOS.

UNIT V – VHDL

RTL Design – combinational logic – Types – Operators – Packages – Sequential

circuit – Sub programs – Test benches. (Examples: adders, counters, flipflops, FSM,

Multiplexers / Demltiplexers).

Lecture – 45

Tutorial – 15

TOTAL : 60 PERIODS

TEXT BOOKS:

1. M. Morris Mano, ‘Digital Design’, Pearson Education, 2006.

2. John M.Yarbrough, ‘Digital Logic, Application & Design’, Thomson, 2002.

REFERENCES:

1. Raj Kamal, ‘ Digital systems-Principles and Design’, Pearson education 2nd edition,

2007

2. Charles H.Roth, ‘Fundamentals Logic Design’, Jaico Publishing, IV edition, 2002.

3. Floyd and Jain, ‘Digital Fundamentals’, 8th edition, Pearson Education, 2003.

4. John F.Wakerly, ‘Digital Design Principles and Practice’, 3rd edition, Pearson

Education, 2002.

5. Tocci, “Digital Systems : Principles and applications, 8th Edition” Pearson

Education.

**ELECTRONICS LABORATORY**

OBJECTIVES:

1. To obtain the characteristics of electronic devices

2. To obtain the characteristics of amplifier circuits

3. To simulate electronic circuits using standard software packages

LIST OF EXPERIMENTS

1. PN Junction diode and Rectifier Applications

2. Bipolar Junction transistor - CE, CB, CC characteristics

3. JFET – characteristics and parameter determination

4. UJT & SCR Characteristics & UJT – Controlled SCR

5. Characteristics of DIAC and TRIAC

6. Characteristics of BJT Amplifier frequency response

7. Characteristics of FET amplifier frequency response

8. Characteristics of Class B amplifier – Darlington pair

9. Characteristics of Differential amplifier

10. Class D – Totempole configuration

11. PSPICE modeling of electronic circuits

TOTAL : 45 PERIODS

**CONTROL AND INSTRUMENTATION LABORATORY**

OBJECTIVE:

i. To model, analyze and design linear and nonlinear systems.

ii. To study different measurement techniques and to give exposure in design of a

closed loop control system.

List of Experiments

1. Digital simulation of linear systems.

2. Digital simulation of non-linear systems.

3. Study of P, PI and PID controllers and its applications to SISO systems.

4. Study of Lead-Lag compensators and applications to SISO systems.

5. State space analysis of physical systems

6. Stability analysis using conventional techniques.

7. Study of transducers and their characterization (Electrical, and Thermal)

8. Study of transducers and their characterization (Mechanical and flow)

9. Measurement of passive elements using Bridge networks

10. Instrument Transformers – Calibration and Analysis

11. Design of signal conditioning circuits.

12. Closed loop control system design.

13. Measurement systems-Simulation& analysis using LABVIEW

TOTAL : 45 PERIODS

**FIELD MEASUREMENT AND COMPUTATION LABORATORY**

LIST OF EXPERIMENTS

1. A study of solution techniques for electromagnetic field problem using analytical

and numerical methods (FDM and FEM).

Graphical Representation of fields (using MATLAB)

2. Plotting of vector, divergence and curl fields.

3. Plotting of electric field and equipotential lines

4. Plotting of Magnetic fields

Computation of Electric (E) and Magnetic (H) fields (using FEM/FDM packages)

for simple configurations

for simple configurations

5. Computation of Electric field intensity, voltage distribution and capacitance.

6. Computation of Magnetic field intensity and inductance

7. Calculation of Skin depth

Measurement using field meter

8. Measurement of Electrical Fields

9. Measurement of Magnetic fields

10. Measurement of E and H around practical appliances

TOTAL : 45 PERIODS