# GATE Electrical Engineering Syllabus

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Electrical Engineering is one of the most popular GATE streams that deals with the study of electrical systems, devices, and applications. The syllabus of GATE Electrical Engineering covers a range of topics including Engineering Mathematics, Electric Circuits, Electromagnetic Fields, Signals and Systems, Electrical Machines, Power Systems, Control Systems, and Electrical and Electronic Measurements.

GATE 2023 Syllabus for Electrical Engineering is divided into 10 sections with topics that need to be covered. Aspirants can check the Syllabus for GATE Electrical Engineering below.

## GATE General Aptitude Syllabus for Electrical Engineering

Quantitative Aptitude Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing the 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. Logic: deduction and induction, Analogy, Numerical relations, and reasoning 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 Transformation of shapes: translation, rotation, scaling, mirroring, assembling, and grouping Paper folding, cutting, and patterns in 2 and 3 dimensions

## GATE Electronics and Communication Engineering Syllabus

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, Divergence theorem, Green’s theorem.

### 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, and Regression analysis.

Electric circuits

### Network Elements

ideal voltage and current sources, dependent sources, R, L, C, M elements; Network solution methods: KCL, KVL, Node and Mesh analysis; Network Theorems: Thevenin’s, Norton’s, Superposition and 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 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.

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, Applications of Fourier Transform for continuous and discrete time signals, Laplace Transform and Z transform. R.M.S. value, average value calculation for any general periodic waveform.

Electrical Machines

Single-phase transformer: equivalent circuit, phasor diagram, 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, motoring and generating mode of operation and their characteristics, speed control of dc motors; Three-phase induction machines: the 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 and characteristics, regulation and parallel operation of generators, 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 considering transmission losses), 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, directional and distance protection; Circuit breakers, System stability concepts, Equal area criterion.

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, Stability analysis using Routh-Hurwitz and Nyquist criteria, 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 multimeters, 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, combinatorial and 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 to DC conversion: Buck, Boost and Buck-Boost Converters; Single and three-phase configuration of 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 and current source inverters, sinusoidal pulse width modulation.

## GATE Electrical Engineering Subject Wise Weightage

In terms of subject-wise weightage, Engineering Mathematics, and Electric Circuits carry significant weightage in the exam. Students should pay special attention to these subjects to score well. It is also essential to have a clear understanding of basic concepts and their practical applications to excel in this exam. Take a look at the GATE Electrical Engineering Subject Wise Weightage for each subject.

Subject 2012 2013 2014 2015 2016 2017 2018 2019 2020 2021 2022 2023
General Aptitude

15

15

15

15

15

15

15

15

15

15

15

15

Engg.Maths

10

13

11

9

14

13

15

13

10

12

11

13

Electrical Machines

9

6

13

13

10

14

11

11

11

11

10

10

Electric Fields & Circuits

12

11

10

14

17

13

16

15

14

16

16

10

Control Systems

10

10

8

10

10

10

8

8

13

8

8

9

Power Systems

12

8

10

9

10

9

10

12

9

11

8

8

Power Electronics

11

12

7

7

10

8

10

6

8

9

13

6

Signals & Systems

7

8

8

7

6

6

5

3

6

8

8

11

Analog Electronics

6

10

6

6

2

5

3

6

8

6

7

6

Measurements

3

4

6

4

2

4

3

2

3

1

2

2

Digital Electronics & MP

5

3

6

6

4

3

3

4

3

3

2

6