**GATE Electrical Engineering Syllabus:**

Section 1: Engineering Mathematics

Linear Algebra: Matrix Algebra, Systems of linear equations,
Eigenvalues, Eigenvectors.

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 integral, Surface integral,
Volume integral, Stokes’s theorem, Gauss’s theorem, Green’s theorem.

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Differential equations: First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s equation, Euler’s equation, Initial and boundary value problems, Partial Differential Equations, Method of separation of variables.
Complex variables:
Analytic functions, Cauchy’s integral theorem,
Cauchy’s integral formula, Taylor series, Laurent series, Residue theorem, Solution integrals.

Probability and Statistics: Sampling theorems, Conditional probability, Mean, Median, Mode,
Standard Deviation,
Random variables, Discrete and Continuous distributions, Poisson distribution,
Normal distribution, Binomial distribution, Correlation analysis, Regression
analysis.

Numerical Methods: Solutions of nonlinear algebraic equations, Single and Multi‐step methods for
differential equations. Transform
Theory: Fourier Transform, Laplace Transform, z‐Transform.

*Electrical Engineering*

Section 2: Electric Circuits

Network graph, KCL, KVL, Node and Mesh analysis, Transient
response of dc and ac networks, Sinusoidal steady‐state
analysis, Resonance, Passive filters, Ideal current and voltage sources, The
venin’s theorem, Norton’s theorem, Superposition theorem, Maximum power
transfer theorem, Two‐port networks, Three
phase circuits, Power and power factor in ac circuits.

Section 3: Electromagnetic Fields

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 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.

Section 4: 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, Applications of Fourier Transform, Laplace Transform and z-Transform.

Section 5: Electrical Machines

Single
phase transformer: equivalent circuit, phasor diagram, open circuit and short
circuit tests, regulation and efficiency; Three phase transformers: connections,
parallel operation; Auto‐transformer,
Electromechanical energy conversion principles, DC machines: separately
excited, series and shunt, motoring and generating mode of operation and their
characteristics, starting and speed control of dc motors; Three phase induction
motors: principle of operation, types, performance, torque-speed
characteristics, no-load and blocked rotor tests, equivalent circuit, starting
and speed control; Operating principle of single phase induction motors;
Synchronous machines: cylindrical and salient pole machines, performance,
regulation and parallel operation of generators, starting of synchronous motor,
characteristics; Types of losses and efficiency calculations of electric
machines.

Section 6: Power Systems

Power generation concepts, ac and dc transmission concepts,
Models and performance of transmission lines and cables, Series and shunt
compensation, Electric field distribution and insulators, Distribution systems,
Per‐unit
quantities, Bus admittance matrix, Gauss- Seidel and Newton-Raphson load flow
methods, Voltage and Frequency control, Power factor correction, Symmetrical
components, Symmetrical and unsymmetrical fault analysis, Principles of over‐current,
differential and distance protection; Circuit breakers, System stability
concepts, Equal area criterion.

Section 7

*:*Control Systems
Mathematical modeling and representation of systems,
Feedback principle, transfer function, Block diagrams and Signal flow graphs,
Transient and Steady‐state analysis of
linear time invariant systems, Routh-Hurwitz and Nyquist criteria, Bode plots,
Root loci, Stability analysis, Lag, Lead and Lead‐Lag
compensators; P, PI and PID controllers; State space model, State transition
matrix.

Section 8

*:*Electrical and Electronic Measurements
Bridges and Potentiometers, Measurement of voltage, current,
power, energy and power factor; Instrument transformers, Digital voltmeters and
multimeters, Phase, Time and Frequency measurement; Oscilloscopes, Error
analysis.

Section 9

*:*Analog and Digital Electronics
Characteristics of diodes, BJT, MOSFET; Simple diode
circuits: clipping, clamping, rectifiers; 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,
Demultiplexer, Schmitt trigger, Sample and hold circuits, A/D and D/A
converters, 8085Microprocessor: Architecture, Programming and Interfacing.

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