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GATE Electrical Engineering

Official 2025 syllabus extracted from https://gate2025.iitr.ac.in/doc/2025/GATE%20_EE_2025_Syllabus.pdf

Engineering Mathematics

Matrix Algebra

Systems of linear equations

Eigen values

Eigen vectors

Linear Algebra

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

Divergence theorem

Green's theorem

Calculus

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

Differential Equations

Analytic functions

Cauchy's integral theorem

Cauchy's integral formula

Taylor series

Laurent series

Residue theorem

Solution integrals

Complex Variables

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

Probability and Statistics

Electric Circuits

Ideal voltage and current sources

Dependent sources

R, L, C, M elements

KCL, KVL, Node and Mesh analysis

Thevenin's theorem

Norton's theorem

Superposition theorem

Maximum Power Transfer theorem

Transient response of DC and AC networks

Sinusoidal steady-state analysis

Resonance

Two port networks

Balanced three phase circuits

Star-delta transformation

Complex power and power factor in AC circuits

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

Signals and Systems

Representation of continuous and discrete time signals

Shifting and scaling properties

Linear time invariant and causal systems

Fourier series representation of continuous and discrete time periodic signals

Sampling theorem

Fourier Transform for continuous and discrete time signals

Laplace Transform

Z transform

R.M.S. value and average value calculation for periodic waveforms

Electrical Machines

Single phase transformer: equivalent circuit, phasor diagram

Single phase transformer: open circuit and short circuit tests, regulation and efficiency

Three-phase transformers: connections, vector groups, parallel operation

Auto-transformer

Electromechanical energy conversion principles

DC machines: separately excited, series and shunt

DC machines: motoring and generating modes, characteristics

Speed control of DC motors

Three-phase induction machines: principle of operation, types, performance

Three-phase induction machines: torque-speed characteristics

Three-phase induction machines: no-load and blocked-rotor tests, equivalent circuit

Three-phase induction machines: starting and speed control

Operating principle of single-phase induction motors

Synchronous machines: cylindrical and salient pole, performance and characteristics

Synchronous machines: regulation and parallel operation of generators

Synchronous machines: starting of synchronous motors

Types of losses and efficiency calculations of electric machines

Power Systems

Basic concepts of electrical power generation

AC and DC transmission concepts

Models and performance of transmission lines and cables

Economic Load Dispatch (with and without transmission losses)

Series and shunt compensation

Electric field distribution and insulators

Distribution systems

Per-unit quantities

Bus admittance matrix

Gauss-Seidel load flow method

Newton-Raphson load flow method

Voltage and Frequency control

Power factor correction

Symmetrical components

Symmetrical and unsymmetrical fault analysis

Over-current, differential, directional and distance protection

Circuit breakers

System stability concepts

Equal area criterion

Control Systems

Mathematical modelling and representation of systems

Feedback principle

Transfer function

Block diagrams

Signal flow graphs

Transient and steady-state analysis of LTI systems

Stability analysis using Routh-Hurwitz criterion

Stability analysis using Nyquist criterion

Bode plots

Root loci

Lag, Lead and Lead-Lag compensators

P, PI and PID controllers

State space model

Solution of state equations of LTI systems

Electrical and Electronic Measurements

Bridges and Potentiometers

Measurement of voltage, current, power, energy and power factor

Instrument transformers

Digital voltmeters and multi-meters

Phase, Time and Frequency measurement

Oscilloscopes

Error analysis

Analog and Digital Electronics

Simple diode circuits: clipping, clamping, rectifiers

Amplifiers: biasing, equivalent circuit and frequency response

Oscillators and feedback amplifiers

Operational amplifiers: characteristics and applications

Single stage active filters

Active Filters: Sallen-Key, Butterworth

VCOs and timers

Combinational logic circuits

Sequential logic circuits

Multiplexers, demultiplexers

Schmitt triggers

Sample and hold circuits

A/D and D/A converters

Power Electronics

Static V-I characteristics and firing/gating circuits for Thyristor, MOSFET, IGBT

DC-DC conversion: Buck, Boost, Buck-Boost Converters

Single and three-phase uncontrolled rectifiers

Voltage and Current commutated Thyristor based converters

Bidirectional AC to DC voltage source converters

Magnitude and phase of line current harmonics for uncontrolled and thyristor-based converters

Power factor and Distortion Factor of AC to DC converters

Single-phase and three-phase voltage source inverters

Single-phase and three-phase current source inverters

Sinusoidal pulse width modulation

GATE Electrical Engineering Syllabus 2025, 2026 and more: Subjects, Topics, and What to Study