Following is the syllabus for Gate Exam for Electrical Engineering
ENGINEERING MATHEMATICS
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 Green’s theorems.
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, Partial
Differential Equations and variable separable method.
Complex variables: Analytic functions, Cauchy’s integral theorem and integral formula, Taylor’s and Laurent’ 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
analysis.
Numerical Methods: Solutions of nonlinear algebraic equations, single and multistep methods for differential equations.
Transform Theory: Fourier transform, Laplace transform, Ztransform.
ELECTRICAL ENGINEERING
Electric Circuits and Fields: Network graph, KCL, KVL, node and mesh analysis, transient response of dc and ac networks;
sinusoidal steadystate analysis, resonance, basic filter concepts; ideal current and voltage sources, Thevenin’s, Norton’s
and Superposition and Maximum Power Transfer theorems, twoport networks, three phase circuits; Gauss Theorem, electric field
and potential due to point, line, plane and spherical charge distributions; Ampere’s and BiotSavart’s laws; inductance;
dielectrics; capacitance.
Signals and Systems: Representation of continuous and discretetime signals; shifting and scaling operations; linear,
timeinvariant 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; autotransformer; 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; perunit quantities; bus impedance and admittance matrices; load flow;
voltage control; power factor correction; economic operation; symmetrical components; fault analysis; principles of
overcurrent, 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; steadystate errors; Routh and Niquist
techniques; Bode plots; root loci; lag, lead and leadlag 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; Qmeters; 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; multivibrators; sample
and hold circuits; A/D and D/A converters; 8bit 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/
