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ENGINEERING MATHEMATICS III

NETWORK ANALYSIS

TRANSDUCERS & INSTRUMENTATION

ELECTRONIC CIRCUITS -1

DIGITAL ELECTRONICS FUNDAMENTALS

SIGNALS AND SYSTEMS

ELECTRONIC CIRCUITS LAB - I

I.C. LAB - I

MAT 301 ENGINEERING MATHEMATICS III



Hours per week: 04                      I.A.Marks: 25
Total Hours: 48                           Exam Marks :100

Complex Variables :
Functions of a Complex Variable, Limits, Continuity, Analytic functions, C-R equations, Conformal mapping, Bilinear transformations, Complex integration - Cauchy's integral theorem, Cauchy's integral formula, Taylor's & Laurent's series, Cauchy's residue theorem. 10 hrs

Fourier Series :

Periodic Functions, Euler's formula, Fourier Series of even and odd funcuons, Fourier series of functions of arbitary period, Half-range expansions, Fourier sine and cosine series, Exponential Fourier Series, Harmonic Analysis, Fourier Transforms: Definition, Convolution and applications: 10 hrs

Numerical Analysis :
Finite Differences - Forward differences, Backward differences Newton's forward interpolation formula, Newton's backward interpolation formula, Newton's general interpolation formula. Central Differences- Bessels and Stirlings' formulate. Numerical Differentiation, Numerical Integration, the general quadrature formula - Simpson's rule. Numerical methods of solution of equations Directmethods- Rank of a matrix and consistency for a system of equations, Gauss Elimination, Gauss-Jordan and LU Decomposition methods. Iterative Methods Jacobi, Gauss-Siedel, and Newton - Raphson methods, Numerical solutions for ordinary differential equations - Euler's, modified Euler's and Runge- kutta methods. 19hrs

Optimization :
Basic Concepts and classification of optimization problems, Liner Programming, Graphical and Simplex Method, Degeneracy and Difficulties in Starting.' . - 09 hrs

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                               EC 302 NETWORK ANALYSIS

Hours / Week: 4                    I.A. Marks : 25
Total Hours : 48                    Exam Marks:100

Network Topology:

Graph of a network, Concept of a tree and links, incidence matrix, tie-set & cut-set schedules, solution of networks, principles of duality & network transformation. 06 hrs

Review of loop and node, linearly independent KVL & KCL equations. Methods of analysis of DC and AC networks. Network reduction using Y-A transformations, Coupled circuits, Locus Diagram. 10 hrs

Theorems:
Superposition, Reciprocity, Thevenin's, Norton's, Maximum power transfer and Miller's theorems, Tellegen's theorem. 08 hrs

Resonant circuits:
Series and parallel resonance, frequency response of series and parallel circuits, Q-factor, Bandwidth. 04 hrs

Transient behavior and initial conditions in networks :
Behavior of circuit element under switching condition and their representation. Evaluation of initial and final conditions in RL, RC and RLC circuits for AC and DC excitations. 06 hrs

Laplace transformation & its applications :
LT from Fourier Transform, Definition & Properties of Laplace transforms, Inverse Laplace transform, Partial fraction expansion, initial & final value theorem, shifting theorem, convolution integral, step, ramp and impulse functions, delayed functions, Laplace transform of periodic and non-periodic signals. 08 hrs

One & two port network parameters:
Driving point admittance & transfer function, pole-zero concepts of the network function. Open circuit impedance parameters, short circuit admittance parameters, transmission parameters; H-Pararneters. Calculation of these parameters for two port networks.
06 hrs

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                EC 303 TRANSDUCERS & INSTRUMENTATION

Hours I Week : 4               I.A. Marks: 25
Total Hours : 48                Exam Marks:100

1.Introduction :
General properties of Instrumented elements, ,Transducer technology, Transduction principles, General transducer characters, Design characters, performance characters, Reliability characters, transient and frequency characteristics. 08 hrs

2. Generalized Performance Characteristics     08 hrs


3. Displacement Transducer & Motion Sensors :
Electro-optical displacement sensors,augular and linear encoders. Digital codes and coding patterns, position sensing switches. 06 hrs

4. Variable Capacitance Transducers : Basic principles, equivalent circuits, sensitivity and linearity, associated circuits, applications, signals conditioning circuits. 06 hrs

5. Piezoelectric Transducers: Piezoelectricity and electro-striction, Piezoelectric materials, Equivalent circuits, appellations, signal conditioning circuits. 08 hrs

6. Optical Detectors: Sensing methods, photo-voltaic detection, photo conductive detection, photo-conductive junction detection, design and operation of thermoelectric optical detectors, Piezoelectric optical detectors. 08 hrs

7. IC Transducers for Temperature Measurement :
Principle and associated circuits for signal conditioning. 04 hrs

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                      EC 304 ELECTRONIC CIRCUITS -1

Hours/Week : 4                           I.A. Marks : 25
Total Hours : 48                          Exam Marks:100

1.Fundamentals of CRO:
Functional description of CRT, Focusing with electric & magnetic fields, Deflection mechanism & synchronizations. Block diagram of CRO (Qualitative treatment only) 3 Hrs

2. Diode and diode circuits:

i) Energy band diagram for PN-Junction, Derivation of for PN-Junction current, V-I characteristics, Diode capacitances - Ideal & practical diodes, Equivalent diode.
ii) Diode circuits: FW bridge rectifier with C filter - Design calculations {Ripple factor, efficiency, regulation) voltage multipliers - Diode clippers & clampers.
iii) Special purpose diodes : Varactor, Tunnel, Schottky & photo diodes & their characteristics. 12Hrs

3. BJT, Biasing & AC Models:

i) Ebers - Moll Model - Transistor rating.
ii) Basic CE amplifier - load line, operating point - stabilization of operating point - Biasing circuits & analysis.
iii) AC Models: Accurate and Approximate model of small signal BIT amplifiers, Linear Analysis of a Transistor Amplifier in CE, CB & CC modes, comparison of configurations. Hybrid - PI model, variation of Hybrid parameters. CE current gain with and without RL, CE short circuit current gain. CE Amplifier response. 12 hrs

4.BJT Amplifiers:

i) Voltage Amplifiers-CE amplifier analysis-types of coupling-effect of coupling,bypass & design of coupled circuits(RC & TC). Effect of cascading and cascoding.
ii) Emitter Follower - CC amplifier, Darlington & Bootstrap circuits & analysis.
iii) Power amplifiers - Classification of large signal amplifiers -Concept of ac load line - Analysis & design with respect to efficiency, linearity and harmonic distortions (Three point analysis) of class A, class B and AB push-pull amplifiers -Cotnplementary symmetry circuit 15 Hrs

5. Regu!ators & Power Supplies:
Three phase bridge connected rectifier (TUF, Ripple factor, Efficiency, Vdc) - Analysis & design of series & shunt voltage regulator - series current regulator - switching regulator - Discussion on short circuit protections (Using BJT). 6 Hrs


Reference Books:

1)Nasheisky & Boylestead: Electronic Devices & circuit theory PHI.
2)I.J. Nagrath, Electronics Analog & Digital - PHI

For further reading ...

· Malvino: Electronic Principles: Mc Graw Hill
· Integrated Electronics, Millman & Halkias, TMH

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              EC 305 DIGITAL ELECTRONICS FUNDAMENTALS

Hours / Week : 4             Total Hours : 48
I.A. Marks : 25               Exam Marks:100

1. Review of number Systems, Boolean Algebra. 04 hrs

2. Simplification of Boolcan expression using theorems, K-Map, VEM technique and Quine-Mclausky methods. 08 hrs

3. Binary codes and coding Circuits: Introduction, 8421 BCD Arithmetic, Excess-3 code, Excess-3 Arithmetic, Other 4-Bit BCD codes, 2421 code, Error-Detecting Codes - Parity, block Parity, Five Bit Codes, Binquinary Code, Unit Distance Codes: Gray code, conversion of Gray to Binary and Vice-Versa, Alphanumeric codes: ASCII Code, EBCDIC Code, Encoders, keyboard encoders and priority encoders, Decoders, BCD-to-Seven Segment Decoder, ANSI/IEEE Standard symbols mixed mode representation. 10 hrs

4. Logic Families: Study of a transistor as a switch, review of logic gates, definition of parameters-fanout, noise margin, propagation delay, powcr dissipatioii, spced power product. Multi-emitter- transistor, totem-pole output, Input and Output Currents-Fanout, High speed and Low Power (L) TTL. The Schottky Clamp, Schottky(s) and Low Power Schottky (LS) TTL. Advanced Low-Power Schottky (AS)TTL.Open Collector Outputs: The Wired AND. Tn-state Logic and Bus Drivers. NMOS Logic, CMOS Logic, Buffered and Unbuffered gates, Transmission gates, Open drain and High Impedance Outputs, Specifications and Standards, Power dissipation and propagation delay, CMOS hazards, Dynamic MOS logic, IIMOS. Emitter Coupled Logic (ECL): Input and Output Characteristics. IIL Logic BICOMS, ANSI and IEEE standard Interfacing, CMOS & ECL gate. 12 hrs

5. Design of Combination Circuits:
Arithmetic circuit,Half Adder,Full Adder ,Serial Adder, Parallel Adder, Carry Look Ahead adder. Half Subtractor and Full Subtract6r;ALU, Case Study: 7483, 74181, Comparators- Basic Idea of Comparators, ease study of 7485, Multiplexers and Demultiplexers - Basic idea of MUX and DEMUX, application of MUX for generation of Logic function and multiplexing of seven segment displays, and code converter circuits. Study of 74151 and 74153, application of DEMUX, study of 74139.
14 hrs

Reference Books
·
Tocci Digital Systems - PHI
· Fletcher An Engineering approach to Digital Design - PHI

For further reading...
· Floyd: bigital Fundamentals - PHI
· Bogart: Introduction to Digital Circuits - MG Hill
· Schaum Series: Digital system design - Mc Graw Hill

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                     EC 306 SIGNALS AND SYSTEMS

Hours / Week: 4               I.A. Marks : 25
Total Hours : 48               Exam Marks:100

1. Introduction :
What is a signal? What is a system? Overview of specific systems, Classification of signals, basic operations on signals, elementary signals, Systems viewed as interconnections of operations. prupertics of systems. 08 Hrs

2. Time domain representations for Linear Time-Invariant systems:Introduction,Convolution:inpulse response representation for LTI systems, Properties of the Impulse response representation forLTI systems, Differential and difference equation representation for LTI systems, block diagram representations.
10 hrs


3. Fourier representatiolis of signals:
Introduction, Discrete-Time periodic signals: The Discrete-Time Fourier Series, Continuous - Time periodic signals: The Fourier series, Discrete-Time non-periodic signals: The Fourier Transform, Properties of Fourier representation. 10 hrs

4. Application of Fourier representations :
Introduction, Frequency response of LTI systems, Fourier Transform representations for periodic signals,convolution and modulation with mixed signal classes, Fourier transform representation for discrete time signals. Sampling, reconstruction of continuous time signals, Discrete- Time processing of Continuous time signals. 10 Hrs

5. Z-Tarnsform:
Introduction, The Z-transform, properties of the ROC,Properties of the Z-Transform, Inversion of Z-Transform, Transform analysis of LTI systems, The Unilateral Z-Transform. 10 Hrs

Reference Books:
· Signals and Systems,Haykin & Van Veen:Wiley.
· Signals aIl(l Systems, Oppenenheim et.al.,PHI

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                    EC 307 ELECTRONIC CIRCUITS LAB - I

Hours / Week: 03               I.A. Marks : 25
Exam. Marks:100

1. Characteristics of Zener diode, Zener Voltage Regulator.
2. Design and performance characteristics of Halfwave, Fullwave and bridge rectifiers without filter and with capacitor filter.
3. Determination of h-parameters using static: characteristics of a transistor in CE and CB mode.
4. Static characteristics of FET, parameter calculations.
5. Characteristics of UJT, intrinsic stand off ratio.
6 Stattc characteristics of MOSFET, parameter calculations.
7. Characteristics of photo diodes and photo transistors.
8. Verification of Thevenin's, Norton's and Maximum Power Transfer theorem.
9. Characteristics of series and parallel resonance circuits.
10. Design, Fixing of operating point and performance characteristics of
i) R-C Coupled amplifier
ii) Transformer coupled amplifier
iii) Emitter follower.

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                            EC 308 I.C. LAB - I

Hours/ Week : 03
I.A. Marks: 25                        Exam. Marks:100

1. Simplification, realization of Boolean expression using log gates/universal gates.
2. Transfer characteristics of TFL, CMOS and Schmitt Trigger gates.
3. Sinking and Sourcing characteristics of TTL gates.
4. Realization half I full adder, using Logic gates.
5. Realization ofhalf/ full subtractor using logic gates.
6. Parallel adderlsubtractor using 7483 chip.
7. BCD to XS-3 code conversion and vice-versa.
8. Binary to gray code converter and vice-versa.
9. MUX I DEMUX Li5C of 74153,74139 for arithmetic circuits and cod converter.
10. Realization of One I Two bit comparator & Study of 7485 magnilud comparator
11. Use of decoder chip to drive LED I LCD display.
12. StudyofonebitALu-74181
13. Study of Priority encoder

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