Following is the syllabus for Gate Exam for Electrical Engineering
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial
Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface
and Volume integrals, Stokes, Gauss and Greenís theorems.
Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant
coefficients, Method of variation of parameters, Cauchyís and Eulerís equations, Initial and boundary value problems, Partial
Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchyís integral theorem and integral formula, Taylorís and Laurentí series, Residue
theorem, solution integrals.
Probability and Statistics: Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random
variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression
Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Z-transform.
Electric Circuits and Fields: Network graph, KCL, KVL, node and mesh analysis, transient response of dc and ac networks;
sinusoidal steady-state analysis, resonance, basic filter concepts; ideal current and voltage sources, Theveninís, Nortonís
and Superposition and Maximum Power Transfer theorems, two-port networks, three phase circuits; Gauss Theorem, electric field
and potential due to point, line, plane and spherical charge distributions; Ampereís and Biot-Savartís laws; inductance;
Signals and Systems: Representation of continuous and discrete-time signals; shifting and scaling operations; linear,
time-invariant and causal systems; Fourier series representation of continuous periodic signals; sampling theorem; Fourier,
Laplace and Z transforms.
Electrical Machines: Single phase transformer - equivalent circuit, phasor diagram, tests, regulation and efficiency; three
phase transformers - connections, parallel operation; auto-transformer; energy conversion principles; DC machines - types,
windings, generator characteristics, armature reaction and commutation, starting and speed control of motors; three phase
induction motors - principles, types, performance characteristics, starting and speed control; single phase induction motors;
synchronous machines - performance, regulation and parallel operation of generators, motor starting, characteristics and
applications; servo and stepper motors.
Power Systems: Basic power generation concepts; transmission line models and performance; cable performance, insulation;
corona and radio interference; distribution systems; per-unit quantities; bus impedance and admittance matrices; load flow;
voltage control; power factor correction; economic operation; symmetrical components; fault analysis; principles of
over-current, differential and distance protection; solid state relays and digital protection; circuit breakers; system
stability concepts, swing curves and equal area criterion; HVDC transmission and FACTS concepts.
Control Systems: Principles of feedback; transfer function; block diagrams; steady-state errors; Routh and Niquist
techniques; Bode plots; root loci; lag, lead and lead-lag compensation; state space model; state transition matrix,
controllability and observability.
Electrical and Electronic Measurements: Bridges and potentiometers; PMMC, moving iron, dynamometer and induction type
instruments; measurement of voltage, current, power, energy and power factor; instrument transformers; digital voltmeters and
multimeters; phase, time and frequency measurement; Q-meters; oscilloscopes; potentiometric recorders; error analysis.
Analog and Digital Electronics: Characteristics of diodes, BJT, FET; amplifiers - biasing, equivalent circuit and frequency
response; oscillators and feedback amplifiers; operational amplifiers - characteristics and applications; simple active
filters; VCOs and timers; combinational and sequential logic circuits; multiplexer; Schmitt trigger; multi-vibrators; sample
and hold circuits; A/D and D/A converters; 8-bit microprocessor basics, architecture, programming and interfacing.
Power Electronics and Drives: Semiconductor power diodes, transistors, thyristors, triacs, GTOs, MOSFETs and IGBTs - static
characteristics and principles of operation; triggering circuits; phase control rectifiers; bridge converters - fully
controlled and half controlled; principles of choppers and inverters; basis concepts of adjustable speed dc and ac drives.
For more information refer: http://gate.iitk.ac.in/