Applied Mathematics [AMS] S.Y. Diploma : Sem. III [EJ/EN/ET/EX/IS/IE/IC/DE/IU/ED/EI/EE/EP/EV/MU]
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1 Applied Mathematics [AMS] [EJ/EN/ET/EX/IS/IE/IC/DE/IU/ED/EI/EE/EP/EV/MU] Practical Exam Term Work 1. Integration Definition of integration as anti-derivative. Integration of standard function. Rules of integration (Integrals of sum, difference, scalar multiplication). Methods of Integration : Integration by substitution, Integration of rational functions, Integration by partial fractions, Integration by trigonometric transformation, Integration by parts. Definite Integration : Definition of definite integral, Properties of definite integral with simple problems. Applications of Definite Integrals : Area under the curve, Area between two curves. Mean and RMS values. 2. Differential Equation Definition of differential equation, order and degree of differential equation. Formation of differential equation for function containing single constant. Solution of differential equations of first order and first degree such as variable separable type, reducible to Variable separable, Homogeneous, Nonhomogeneous, Exact, Linear and Bernoulli equations. Applications of Differential equations : Laws of voltage and current related to LC, RC, LRC Circuits. 3. Laplace Transform Definition of Laplace transform, Laplace transform of standard functions. Properties of Laplace transform such as Linearity, first shifting, second shifting, multiplication by t n, division by t. Inverse Laplace transforms. Properties linearly first shifting, second shifting. Method of partial fractions. Convolution theorem. Laplace transform of derivatives, Solution of differential equation using Laplace transform (up to second order equation). 4. Fourier Series Definition of Fourier series (Euler s formula). Series expansion of continuous functions in the intervals (0, 2l), ( l, l), (0, 2 ), (, ). Series expansions of even and odd functions. Half range series. 5. Numerical Methods Solution of algebraic equations : Bisection method. Regularfalsi method. Newton Raphson method. Solution of simultaneous equations containing 2 and 3 unknowns : Gauss elimination method. Iterative methods Gauss seidal and Jacobi s methods.
2 Reference : 1. Mathematics for Polytechnic (S.P. Deshpande) Pune Vidyarthi Griha Prakashan, Pune. 2. Calculus : Single Variable (Robert T. Smith) Tata McGraw Hill. 3. Laplace Transform (Lipschutz) Schaum Outline Series. 4. Fourier series and Boundary Value problems (Brown) Tata McGraw Hill. 5. Higher Engineering Mathematics (B.S. Grewal) Khanna Publicaiton, New Delhi. 6. Introductory Methods of Numerical Analysis (S.S. Sastry) Prentic Hall of India, New Delhi. 7. Numerical Methods for Scientific and Engineering Computations (M.K. Jain & Others) Wiley Eastern Publication.
3 Electrical Circuits & Networks [ECN] [EE/EP] Practical Exam 50# Term Internal Assessment, # External Assessment 1. Review of Basic Concepts of Electrical Circuit Electric Circuit Elements R, L, C; Energy Sources; A.C. waveform and definition of various terms associated with it; Response of pure R, L and C to AC supplies, Vector Representation of alternating quantity. 2. Single Phase AC Circuits Series AC circuits R-L, R-C and R-L-C circuits, Impedance, reactance, phasor diagram, impedance triangle, power factor, Average power, Apparent power, Reactive power, Power triangle (Numerical); Series Resonance, quality factor (Numerical); Parallel AC circuits R-L, R-C and R-L-C circuits, Admittance, Susceptance, Solution by admittance method, phasor diagram and complex algebra method (Numerical); Parallel resonance, quality factor; Comparison of series and Parallel circuits. 3. Poly Phase AC Circuits Generation of three phase e.m.f.; Phase sequence, polarity marking; Types of three-phase connections; Concept of unbalanced load and balanced load; Line, phase quantities and power in three phase system with balanced star and Delta connected load and their interrelationship; Advantages of polyphase circuits over single phase circuits. 4. Principles of Circuit Analysis (Only DC circuits) Mesh analysis (Numerical); Node analysis with voltage current source (Numericals), Star/delta and Delta/Star transformations (Simple Numericals) 5. Network Theorems (Statement, Procedure, Applications and Areas of Applications, Simple Numerical on DC Circuits) Superposition Theorem (for also AC but no numerical on AC); Thevenin's Theorem; Norton's Theorem; Source conversion/ideal voltage and current source; Maximum power transfer theorem. Reference : 1. Introductory Circuit Analysis (Boylested R.L.) Wheeler, New Delhi. 2. Schaum online series, Theory and Problems of Electric Circuits (Edminister) Tata McGraw Hill, New York. 3. Circuit and network (A. Sudhakar) Tata McGraw Hill. 4. Basic Electrical Engineering (V.N. Mittle) Tata McGraw Hill. 5. Electrical Technology Vol. I (B.L. Theraja) S. Chand & Co.
4 Electrical Measurements [ELM] [EE/EP] Practical Exam 50# Term Internal Assessment, # External Assessment 1. Fundamentals of Measurement Purpose of measurement and significance of measurement; Various effects of electricity employed in measuring instruments. Desirable qualities of measuring instruments; Classification of Instruments; Classification of errors, their Causes and remedies; Types of torque in Analog Instruments. 2. Measurement of Current and Voltage Construction and principle of PMMC, MI & Dynamometer type Instruments; Production of torque methods. Principles of Voltage and Current measurement; Range Extension of Ammeter and Voltmeter; Different Methods of range extension of Ammeter and Voltmeter (Simple numerical); Calibration of Ammeter and Voltmeter; Instrument transformers (CT&PT); their use in extension of range. 3. Measurement of Power Concept of power in A.C. Circuit; Principle and construction of dynamometer type wattmeter; errors and their compensation; Polyphase wattmeter : construction and applications; Multiplying factor of wattmeter. Measurements of power in 3 phase circuit for balanced and unbalanced load by one wattmeter method, two wattmeter method; Effect of power factor variation on wattmeter readings in two wattmeter method; Measurement of reactive power in three phase balance load by one wattmeter method and two wattmeter method; Concept of digital wattmeter (Simple numerical) 4. Measurement of Electrical Energy Concept of electrical energy; Constructional feature and principle of working of single phase and three phase induction type energy meter; Different types of errors and their compensation; Calibration of energy meter; Concept of Electronic energy meter. 5. Constructional Features and Working Principles of other Meters Single phase and three phase power factor meter (only dynamometer type); (Weston and Ferro dynamic type); Sychronoscope. Phase sequence indicator (Rotating type only); Clip-on-ammeter; Q-meter. Frequency meter 6. Measurement of Circuit Parameters Classification of Resistance : low, medium and high; Methods of measurements of Low, medium and high resistance (Kelvin double bridge, Wheastone bridge and Megger); Measurement of Earth Resistance : Earth tester (Analog and Digital). Construction, working principle and operation of : Digital Multimeter, A.C. Brdiges, L.C.R. Meter.
5 Reference : 1. Electric & Electronic Measurement and Instrumentation (A.K. Sawhney) Dhanpatrai & Sons. 2. Electronic Instrumentation and Measurement techniques (Copper & Heltrick) Prentice Hall of India. 3. Instrumentation Devices and System (Rangan Mani & Sarma) Tata McGraw Hill. 4. Electronic Instrumentation (Kalsi) Tata McGraw Hill. 5. Industrial Instrumentation and Control (S.K. Singh) Tata McGraw Hill. 6. Electrical Measurement and Measuring Instrument (Golding) Wheeler. 7. Electrical Measurement and Measuring Instrument (N.V. Suryanaryan) S. Chand & Co. 8. Fundamental of Electrical measurement (C.T. Baldwin).
6 Electrical Power Generation [EPG] [EE/EP] Practical Exam Term Work 1. Basics of Power Generation Importance of electrical power in day today life; Various sources of energy; Overview of method of electrical power generation; Comparison of Sources of power. 2. Thermal Power Stations List of thermal power station in state and country with their capacities; Selection of site for thermal power stations; Main parts, block diagram of thermal power stations; Quality of fuel and its effect on quality of power generation; Operation of following components: Boiler, Economizer, Air pre heater, Super heaters & re heaters, Steam prime movers, Condensers, Spray ponds and cooling towers (Block diagrams and description in brief). 3. Nuclear Power Stations Block diagram and working of Nuclear Power Station; Construction and working of Nuclear Reactor; Fuels used in Nuclear Power Station; Economics of Nuclear Power Station; List of Nuclear power stations in state and country with their capacities. 4. Hydro Power Stations List of Hydro Power stations with their capacities and number of units in state and country; Selection of site and Classification; Layout of hydro Power stations; Types Turbines and generators used; Selection of turbine and alternator according to water head and capacity. 5. Diesel Power Stations Applications of diesel power stations; Diesel electric plant Main components (Block diagram); Different types of engines and their working, Operation, maintenance and trouble shooting chart of diesel plant. 6. Non Conventional Energy Sources Types of non conventional energy sources; Solar energy: Potential of solar energy, Photovoltaic effect for solar energy, Construction and materials used in solar photo voltaic cells, Working and applications of solar energy; Wind Energy : Selection of site for wind mills, Principle of electricity generation with the help of wind energy, Block diagram and working of Wind energy plant and its applications, List of major wind plants in the state with their approximate capacities; Bio mass and Bio gas energy : Composition of bio gas and its calorific value, Traditional; non traditional Biogas plants, Bio mass based power generation plants and their capacities; Geo thermal Energy and its Applications; Ocean energy: Ocean thermal Electric conversion, Energy from tides, Site requirements, Advantages and Limitations of Tidal power generation; Fuel Cells: Construction, working and applications.
7 7. Economics of Power Generation Terms commonly used in system operation: connected load, firm power, cold reserve, hot reserve, spinning reserve; Curves used in system operation such as Load curve, load duration curve, integrated duration curve. (Simple numerical based on plotting above curves.); Factors affecting the cost of Generation: Average demand, Maximum demand, plant capacity factor and plant use factor, Diversity factor and load factor (Simple numerical based on above); Choice of Size and number of Generator Units, difficulties involved in it. 8. Interconnected Power Systems Combined operation of power stations; Comparison of various types of power stations; Advantages of Interconnection; Base load and peak loads, load allocation among various types of power stations; Economic loading of interconnected stations; Load sharing and transfer of load between power stations; Inter connection of power stations at state and national level. Reference : 1. Electrical Power (Dr. S.L. Uppal). 2. A course in Electrical Power (Soni Gupta Bhatnagar). 3. Non conventional Energy sources (Prof. G. D. Rai). 4. A course in Power Plant Engineering (Prof. Arrora and Dr. V.M. Domkundwar).
8 Basic Electronics [BEX] [EE/EP/ET/EJ/EN/EX/IE/IS/IC/DE/MU/IU/ED/EI/MR] Practical Exam 50# Term Internal Assessment, # External Assessment 1. Semiconductor diode Rectifying diode; Review of P type and N type semiconductor; Junction of P type and N type i.e. PN junction; Barrier voltage, depletion region, Junction Capacitance; Forward biased and reversed biased junction; Diode symbol, circuit diagram for characteristics (forward and reversed); Characteristics of PN junction diode Specifications: Forward voltage drop, Reversed saturation current, maximum forward current, power dissipation, Package view of diodes of different power ratings (to be shown during practical hours). Zener diode Construction (reference to doping level); Symbol, circuit diagram for characteristics (forward and reversed); Avalanche and zener breakdown Specifications: Zener voltage, power dissipation, break over current, dynamic resistance and maximum reverse current. Special diodes Point contact diode, Schottky diode. Optical Diodes LED, IRLED, photo diode and laser diode; Symbol, operating principle and applications of each. PASSIVE COMPONENTS 1. Resistor : definition, symbol, unit; Types of resistors : fixed, variable, LDR; Thermistor (symbol and list of application only); Resistor colour code, wattage (w.r.to size). 2. Capacitor : definition, symbol, unit; Types of capacitor (to be shown in practical, no theory); Fixed: mica, paper, ceramic, electrolytic; Varibale: Gang Capacitor 3. Inductor : definition, symbol, unit; Types of inductors : fixed, variable; Transformer : symbol, types (step up and step down), application. Note: The above topic (PASSIVE COMPONENTS) is to be covered in practical for Electrical engineering students only. No questions will be set on this topic in theory examination. 2. Rectifiers and Filters Need of rectifier, definition; Types of rectifier Half wave rectifier, Full wave rectifier, (Bridge and centre tapped); Circuit operation: Input / output waveforms for voltage and current, Average (dc) value of current and voltage (no derivation), Ripple, ripple factor, ripple frequency, PIV of diode used, transformer utilization factor, efficiency of rectifier; Comparison of three types of rectifier; Need of filers; Types of filters: A] shunt capacitor, B] Series inductor, C] LC filter, D] filter; Circuit operation, dc output voltage, ripple factor (formula), ripple frequency, Dependence of ripple factor on load; Input/output waveforms, limitations and advantages 3. Transistors Introduction, Basic concept; Types of transistors, structure and symbols; Transistor operation, Conventional current flow, relation between different currents in transistor; Transistor amplifying
9 action; Transistor configurations : CB, CE and CC; Circuit diagram to find the characteristics; Input/output characteristics; Transistor parameters input resistance, output resistance,, and relation between them; Comparison between three configurations; Transistor specifications : V CE Sat, I C max, V CEO, I CEO,, V CE Breakdown, Power dissipation (to be explained during practical using data sheets); Testing of transistor using multimeter (To be shown during practical); Construction, working principle, characteristics of Photo transistor; Introduction to opto coupler; 1] Bipolar junction transistor (BJT), 2] Unipolar transistor (JFET) Construction, working principle and characteristics; 3] Unijuncion Transistor (UJT) Construction, working principle and characteristics; Biasing of BJT : Introduction, need of biasing, concept of dc load line, selection of operating point (Q point), Need of stabilization of Q point (Thermal run away concept). 4. Types of biasing circuits A] Fixed biased circuit B] Base biased with emitter feed back, C] Base biased with collector feed back, D] Voltage divider, E]Emitter biased : Circuit operation of each circuit, Introduction to two port n/w, Hybrid model for CE. 5. Regulated power supply What is regulator?; Need of regulators, voltage regulation factor; Concept of load regulation and line regulation; Basic Zener diode voltage regulator; Linear Regulators: Basic block diagram of dc power supply; Transistorised series and shunt regulator circuit diagram and operation Regulator IC s 78xx, 79xx, 723 as fixed, variable and dual regulator. 6. Small signal amplifiers Concept of amplification; Small signal amplifier using BJT; Graphical analysis; Determination of current, voltage and power gain, Input and output resistance, phase shift between input and output; AC Load Line; Function of input and output coupling capacitors and criteria for the value selection; Function of emitter bypass capacitor and its value selection; Ac equivalent circuit of transistor CE amplifier; Single stage CE amplifier with voltage divider bias, Its explanation, Frequency response of single stage CE amplifier, Bell, Decibel unit, Bandwidth and its significance, Effect of coupling and emitter bypass capacitor on bandwidth; Introduction to CB and CC amplifier and List of applications; Cascade Amplifiers (Multistage Amplifier); Need of Multistage Amplifiers, Gain of amplifier; Types of amplifier coupling RC, transformer and Direct coupling; Two stage amplifier circuit diagram, working, frequency Response, merits and demerits and applications of each. Reference : 1. Basic Electronics and Linear Circuits (N. N. Bhargava, D.C. Kulashreshtha, S.C. Gupta TTTI Chandigharh) Tata MaGraw Hill. 2. Electronic Principles (Alberrt Malvino, David J. Bates) Tata McGraw Hill. 3. Electronic Devices and Components (Allen, Mottershead) Prentice Hall of India. 4. Basic Electronics and Devices (NIIT) Prentice Hall of India. 5. Basic Electronics (Grob Bernard) Tata McGraw Hill. 6. Electronics Devices and Circuits (David J. Bell) Prentice Hall of India.
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