# Syllabus For GATE Electrical Engineering Exam

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#### Overview

GATE or Graduate Aptitude Test in Engineering is an All-India level postgraduate entrance exam for engineering graduate students. This entrance exam is conducted once every year to test the understanding and comprehension skills of the students.

Every year, the GATE exam is conducted by Indian Institute of Science, Bangalore along with 7 other Indian Institute of Technology (IIT) that are located across India. This time it is IIT Delhi that is going to conduct the GATE and is about to take place in the month of February . Biomedical Engineering is the new addition to the exam list.

IIT Delhi has released the syllabus for GATE Electrical Engineering exam. If you’re a GATE candidate, check for the updated GATE EE exam syllabus before you kick start your preparation.

Given below is the detailed list of topics and sub-topics that are included for each subject in GATE Electrical Engineering discipline. Make sure the candidates get to know the following sections present in Electrical Engineering paper:

- General Aptitude
- Engineering Mathematics
- Electric Circuits
- Electromagnetic Fields
- Signals and Systems
- Electrical Machines
- Power Systems
- Control Systems
- Electrical and Electronic Measurements
- Analog and Digital Electronics
- Power Electronics

Candidates who’re willing to appear for GATE Electrical Engineering exam can check for the updated syllabus before they even start their preparation.

#### GENERAL APTITUDE (Mandatory)

**Verbal Ability:** English Grammar, Sentence Completion, Verbal Analogies, World Groups Instructions, Critical Reasoning, and Verbal Deduction, etc.

**Numerical Ability:** Numerical Computation, Numerical Estimation, Numerical Reasoning and Data Interpretation, etc.

#### ENGINEERING MATHEMATICS (Mandatory)

**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
the 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

#### 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.

#### ELECTROMAGNETIC FIELDS

Coulomb's Law, Electric Field Intensity, Electric Flux Density, Gauss's Law, Divergence, Electric field and potential due to a 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 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.

#### ELECTRICAL MACHINES

**Single-phase transformer:** equivalent circuit, phasor diagram, open circuit, and short circuit
tests, regulation, and efficiency; Three-phase transformers: connections, parallel operation;
Autotransformer, 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.

#### 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.

#### 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.

#### 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

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.

#### 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.

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