The Graduate Aptitude Test in Engineering (GATE) is an All-India examination administered and conducted in eight zones across the country by the GATE Committee comprising of Faculty members from IISc, Bangalore and other seven IIT’s on behalf of the National Coordinating Board, Department of Education, Ministry of Human Resources Development. The GATE score/rank is used for admissions to Post Graduate Programmes (ME, M.Tech, MS, direct PhD) in institutes like IIT and IIScetc with financial assistance offered by MHRD. PSUs too use the GATE scores for recruiting candidates for various prestigious jobs with attractive remuneration.

In GATE examination, candidates can apply for only one of the 24 papers listed in the table given below. Candidates are expected to appear in a paper appropriate to the discipline of their qualifying degree. However, candidates are free to choose any paper according to their admission plan, keeping in mind the eligibility criteria of the institutions in which they wish to seek admission. For more details regarding the admission criteria in any particular institute, candidates are advised to refer to the websites of that particular institute.

# 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.

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, Thevenin’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 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.

## Section 10: Power Electronics

Characteristics of semiconductor power devices: Diode, Thyristor, Triac, GTO, MOSFET, IGBT; DC to DC conversion: Buck, Boost and Buck-Boost converters; Single and three phase configuration of uncontrolled rectifiers, Line commutated thyristor based converters, Bidirectional ac to dc voltage source converters, Issues of line current harmonics, Power factor, Distortion factor of ac to dc converters, Single phase and three phase inverters, Sinusoidal pulse width modulation.

# Electrical Engineering (GATE) - Exam Pattern

## GATE Exam Pattern

Section

Question

No

No. of

Questions

Marks Per

Question

Total

Marks

General Aptitude

1 to 5

5

1

5

Technical 1 to 25 25 1

25

Engineering 26 to 55 30 2

60

Total Question: 65 Total Marks: 100 Total Duration: 3hrs
Technical Section:70 Marks General Aptitude:15 Marks Engineering Mathematics:15 Marks
25 marks to 40 marks will allotted to Numeric Answer Type Questions

Multiple Choice Questions (MCQ)

These questions are objective in nature, and each question will have choice of four answers, out of which the candidate has to mark the correct answer. Each question carries 1 or 2 marks questions in all the sections.

There will be no choices available for these types of questions. A Numeric Answer question carries 1 or 2 marks questions in all sections. The answer for these questions is a real number, to be entered by using mouse and virtual keypad displayed on the monitor. NO negative marking for these questions.

Negative Marking

Question Type

Marks

Negative Marking

Multiple Choice Questions (MCQ)

1 mark

0.33

Multiple Choice Questions (MCQ)

2 marks

0.66

1 mark

Nil

2 marks

Nil

# Electrical Engineering (GATE) - Previous Years Cutoff Marks

## Cut Off Marks

 GATE 2018 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE wait.. 29.10 26.10 19.40
 GATE 2017 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 1,46,293 25.20 22.00 16.70
 GATE 2016 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 1,25,859 25.10 22.50 16.70
 GATE 2015 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 1,25,851 25.00 22.50 16.67
 GATE 2014 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 1,41,799 25.00 22.50 16.67
 GATE 2013 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 1,52,381 25.74 23.17 17.16
 GATE 2012 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 1,10,125 25.00 22.50 16.67
 GATE 2011 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 26.11 23.50 17.39
 GATE 2010 S. NO. GATE Paper GATE Paper code No. of candidates appeared Qualifying Marks(UR) Qualifying Marks(OBC-NCI) Qualifying Marks(SC/ST/PWD) 1 Electrical Engineering EE 25.20 22.68 16.80