GATE 2027 Syllabus for Instrumentation Engineering (IN) - Download PDF

Chapters

Topics

GATE IN syllabus for Verbal Aptitude

• Basic English grammar: tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement, and other parts of speech

• Basic vocabulary: words, idioms, and phrases in context, reading and comprehension, Narrative sequencing.

GATE IN syllabus for Quantitative Aptitude

• Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data), 2- and 3-dimensional plots, maps, and tables

• Numerical computation and estimation: ratios, percentages, powers, exponents and logarithms, permutations and combinations, and series. Mensuration and geometry Elementary statistics and probability

GATE IN syllabus for Analytical Aptitude

• Logic: deduction and induction, Analogy, Numerical relations and reasoning

GATE IN syllabus for Spatial Aptitude

• Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping paper folding, cutting, and patterns in 2 and 3 dimensions.

Chapter

Topics

GATE IN syllabus for Linear Algebra

• Matrix algebra

• Systems of linear equations

• Consistency and rank

• Eigenvalue and Eigenvectors

GATE IN syllabus for 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

GATE IN syllabus for Differential Equations

• First-order equation (linear and nonlinear)

• Second-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

GATE IN syllabus for Analysis of Complex Variables

• Analytic functions

• Cauchy’s integral theorem and integral formula

• Taylor’s and Laurent’s series

• Residue theorem

• Solution of integrals

GATE IN syllabus for Probability and Statistics

• Sampling theorems

• Conditional probability mean, median, mode, standard deviation and variance

• Random variables: discrete

• Continuous distributions: normal, Poisson and binomial distributions

GATE IN syllabus for Numerical Methods

• Matrix inversion

• Solutions of non-linear algebraic equations

• Iterative methods for solving differential equations

• Numerical integration

• Regression and correlation analysis

Section Name

GATE 2027 IN Syllabus

Electricity and Magnetism

Coulomb's Law, Electric Field Intensity, Electric Flux Density, Gauss's Law, Divergence, Electric field and potential due to point, line, plane, and spherical charge distributions, Effect of the dielectric medium, Capacitance of simple configurations, Biot‐Savart’s law, Ampere’s law, Curl, Faraday’s law, Lorentz force, Inductance, Magnetomotive force, Reluctance, Magnetic circuits, Self and Mutual inductance of simple configurations.

Electrical Circuits and Machines

Voltage and current sources: independent, dependent, ideal and practical; v-i relationships of the resistor, inductor, mutual inductance and capacitor; transient analysis of RLC circuits with dc excitation.

Kirchoff’s laws, mesh and nodal analysis, superposition, Thevenin, Norton, maximum power transfer and reciprocity theorems. 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. transient analysis of RLC circuits with ac excitation.

One-port and two-port networks, driving point impedance and admittance, open-, and short-circuit parameters. Single-phase transformer: equivalent circuit, phasor diagram, open circuit and short circuit tests, regulation and efficiency; Three-phase induction motors: principle of operation, types, performance, torque-speed characteristics, no-load and blocked rotor tests, equivalent circuit, starting and speed control; Types of losses and efficiency calculations of electric machines

Signals and Systems

Periodic, aperiodic and impulse signals; Laplace, Fourier and z-transforms; 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.

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, PI, PID, cascade, feedforward, and ratio controllers, tuning of PID controllers and sizing of control valves.

Analog Electronics

Characteristics and applications of diode, Zener diode, BJT and MOSFET; small-signal analysis of transistor circuits, feedback amplifiers. Characteristics of ideal and practical operational amplifiers; applications of opamps: adder, subtractor, integrator, differentiator, difference amplifier, instrumentation amplifier, precision rectifier, active filters, oscillators, signal generators, voltage-controlled oscillators and phase-locked loop, sources and effects of noise and interference in electronic circuits.

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, analogue-to-digital (successive approximation, integrating, flash and sigma-delta) and digital-to-analogue 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, Embedded Systems: Microprocessor and microcontroller applications, memory and input-output interfacing; basics of data acquisition systems, basics of distributed control systems (DCS) and programmable logic controllers (PLC).

Measurements

SI units, standards (R, L, C, voltage, current and frequency), systematic and random errors in measurement, expression of uncertainty - accuracy and precision, propagation of errors, linear and weighted regression.

Bridges: Wheatstone, Kelvin, Megohm, Maxwell, Anderson, Schering and Wien for measurement of R, L, Cand frequency, Q-meter. Measurement of voltage, current and power in single and three-phase circuits; AC and DC probes; true rms meters, voltage and current scaling, instrument transformers, timer/counter, time, phase frequency measurements, digital voltmeter, digital multimeter; oscilloscope, shielding and grounding.

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 (variable head, 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. 4-20 mA two-wire transmitter.

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-, quadrature amplitude, pulse shift keying for digital modulation; optical sources and detectors: LED, laser, photo-diode, light-dependent resistor,square-law detectors, and their characteristics; interferometer: applications in metrology; basics of fiber optic sensing. UV-VIS Spectrophotometers, Mass spectrometers.

Topics

Books

Mathematics

Advanced Engineering Mathematics by Erwin Kreyszig; Engineering Mathematics by Made Easy

Network Theory

Engineering Circuit Analysis by Jack E. Kemmerly, Steven M. Durbin, William H. Hayt

Communication Systems

Modern Digital and Analog Communication System by B P Lathi

Analog Electronics

Fundamentals of Microelectronics by Behzad Razavi

Digital Electronics

Solved previous year questions from EC and IN streams

Signals and Systems

Signals And Systems (Schaum’s Outline Series) by Hwei P HSU

Signals & Systems by Alan V. Oppenheim

Process Control

Process Control: Modeling, Design, And Simulation by B. Wayne Bequette

Electrical and Electronic Measurements

A Course In Electrical And Electronic Measurements And Instrumentation by A K Sawhney, Puneet Sawhney

Transducers

Introduction to Measurements and Instrumentation by Arun K Ghosh

Control System

Automatic Control Systems by Benjamin C Kuo