# INSTRUMENTAL ENGINEERING

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2 INSTRUMENTAL ENGINEERING Subject Code: IN Course Structure Sections/Units Section A Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Section B Section C Section D Section E Section F Section G Section H Section I Topics Engineering Mathematics Linear Algebra Calculus Differential Equations Analysis of complex variables Probability and Statistics Numerical Methods Electric Circuits Signals and Systems Control Systems Analog Electronics Digital Electronics Measurements Sensors and Industrial Instrumentation Communication and Optical Instrumentation Course Syllabus Section A: Engineering Mathematics Unit 1: Linear Algebra Matrix algebra Systems of linear equations 1

3 Eigen values and Eigen Vectors Unit 2: Calculus Mean value theorems Theorems of integral calculus Partial derivatives Maxima and minima Multiple integrals Fourier series Vector identities Line, surface and volume Integrals, stokes, gauss and green s theorems Unit 3: Differential equations First order equation (linear and nonlinear) Higher order linear differential equations with constant coefficients Method of variation of parameters Cauchy s and Euler s equations Initial and boundary value problems Solution of partial differential equations Variable separable method Unit 4: Analysis of complex variables Analytic functions Cauchy s integral theorem and integral formula Taylor s and Laurent s series Residue theorem Solution of integrals Unit 5: Probability and Statistics Sampling theorems Conditional probability Mean, median, mode and standard deviation Random variables Discrete and continuous distributions Normal, Poisson and binomial distributions 2

4 Unit 6: Numerical Methods Matrix inversion Solutions of non-linear algebraic equations Iterative methods for solving differential equations Numerical integration Regression and correlation analysis Section B: Electrical Circuits Unit 1: Voltage and current sources Independent, dependent, ideal and practical V-i relationships of resistor, inductor, mutual inductor and capacitor Transient analysis of RLC circuits with dc excitation Unit 2: Kirchoff s laws Mesh and nodal analysis Superposition Thevenin Norton Maximum power Transfer Reciprocity theorems Unit 3: Peak-, average- and RMS values of AC quantities Apparent-, active- and reactive powers Phasor analysis, impedance and admittance Series and parallel resonance Locus, diagrams, realization of basic filters with r, l and c elements One-port and two-port networks Driving point impedance and admittance Open- and short circuit parameters Section C: Signals and Systems Signals and Systems: Periodic, aperiodic and impulse signals Laplace, Fourier and z-transforms 3

5 Transfer function, frequency response of first and second order linear time invariant systems Impulse response of systems Convolution, correlation Discrete time system: Impulse response Frequency response Pulse transfer function DFT and FFT Basics of IIR and fir filters Section D: Control Systems Feedback principles: Signal flow graphs Transient response Steady-state-errors Bode plot Phase and gain margins Routh and Nyquist criteria Root loci Design of lead Lag and lead-lag compensators State-space representation of systems Time-delay systems: Mechanical, hydraulic and pneumatic system components Synchro pair Servo and stepper motors Servo valves On-off, P, P-I, P-I-D, cascade, feedforward, and ratio controllers. Section E: Analog Electronics Characteristics and applications of: Diode Zener diode BJT MOSFET Small signal analysis of transistor circuits, feedback amplifiers Characteristics of operational amplifiers Applications of opamps: Difference amplifier 4

6 Adder Subtractor Integrator Differentiator Instrumentation amplifier Precision rectifier Active filters and other circuits Oscillators, signal generators, voltage controlled oscillators and phase locked loop Section F: Digital Electronics Combinational logic circuits, minimization of Boolean functions IC families: TTL and CMOS Arithmetic circuits, comparators, Schmitt trigger, multi-vibrators, sequential circuits, flipflops, shift registers, timers and counters Sample-and-hold circuit, multiplexer, analog-todigital (successive approximation, integrating, flash and sigma-delta) and digital-toanalog converters (weighted r, r-2r ladder and current steering logic) Characteristics of ADC and DAC (resolution, quantization, significant bits, conversion/settling time) Basics of number systems, 8-bit microprocessor and microcontroller: applications, memory and input-output interfacing Basics of data acquisition systems Section G: Measurements SI units, systematic and random errors in measurement, expression of uncertainty - accuracy and precision index, propagation of errors PMMC, MI and dynamometer type instruments: DC potentiometer Bridges for measurement of R, L and C, Q-meter Measurement of voltage, current and power in single and three phase circuits: AC and DC current probes True RMS meters Voltage and current scaling Instrument transformers Timer/counter Time Phase and frequency measurements Digital voltmeter Digital multimeter 5

7 Oscilloscope, shielding and grounding Section H: Sensors and Industrial Instrumentation Resistive-, capacitive-, inductive-, piezoelectric-, Hall effect sensors and associated signal conditioning circuits Transducers for industrial instrumentation: Displacement (linear and angular) Velocity Acceleration Force Torque Vibration Shock Pressure (including low pressure) Flow (differential pressure, variable area, electromagnetic, ultrasonic, turbine and open channel flow meters) Temperature (thermocouple, bolometer, RTD (3/4 wire) Thermistor Pyrometer and semiconductor Liquid level, ph, conductivity and viscosity measurement Section I: Communication and Optical Instrumentation Amplitude- and frequency modulation and demodulation Shannon's sampling theorem, pulse code modulation Frequency and time division multiplexing, amplitude-, phase-, frequency-, pulse shift keying for digital modulation Optical sources and detectors: led, laser, photo-diode, light dependent resistor and their characteristics Interferometer: applications in metrology Basics of fiber optic sensing 6

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