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# GATE syllabus - A Comprehensive List of GATE syllabus for EEE

### About GATE Electrical syllabus 2020

Out of 23 papers in GATE exam, Electrical Engineering is one of them. One of the IITs releases the GATE exam syllabus for EEE. Aspirants with Electrical Engineering background opt for this during Gate exam application procedure. GATE Score can be used to pursue career in various PSUs. It is important that even before preparing for Gate, aspirants should be aware of eligibility criteria of GATE Exam and GATE syllabus of EEE branch. Our unique modules on GATE electrical engineering video lectures and gate online test series for EEE and pattern for effective result.

To utilize time efficiently, the knowledge of entire GATE syllabus specifically GATE syllabus for Electrical Engineering in this scenario will give you an added advantage to plan robustly. We have enlisted a detailed GATE exam syllabus based on subjects and topics wise so that aspirants will be able to prepare for the exam in a systematic and organised manner. The syllabus are strategically put taking into account GATE exam pattern.

#### Engineering Mathematics

Linear Algebra
• Matrix algebra
• Systems of linear equations
• Eigen values and Eigen vectors
Ordinary Differential Equation ( ODE )
• First order ( linear and non – linear ) equations
• higher order linear equations with constant coefficients
• Euler – Cauchy equations
• Laplace transform and its application in solving linear ODEs
• Initial and boundary value problems.
Partial Differential Equation ( PDE ) : Fourier series
• separation of variables
• solutions of onedimensional diffusion equation
• first and second order one – dimensional wave equation and two-dimensional Laplace equation.
Calculus
• Functions of single variable
• Limit, continuity and differentiability
• Mean value theorems
• local maxima and minima
• Taylor and Maclaurin series
• Evaluation of definite and indefinite integrals
• application of definite integral to obtain area and volume
• Partial derivatives
• Total derivative
• Divergence and Curl, Vector identities
• Directional derivatives
• Line, Surface and Volume integrals
• Stokes
• Gauss and Green's theorems.
Probability and Statistics
• Definitions of probability and sampling theorems
• Conditional probability
• Discrete Random variables
• Poisson and Binomial distributions
• Continuous random variables
• normal and exponential distributions
• Descriptive statistics – Mean, median, mode and standard deviation
• Hypothesis testing.
Numerical Methods
• Accuracy and precision
• error analysis
• Numerical solutions of linear and non – linear algebraic equations
• Least square approximation
• Newton's and Lagrange polynomials
• numerical differentiation
• Integration by trapezoidal and Simpson's rule
• single and multi – step methods for first order differential equations.

#### 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 point line
• plane and spherical charge distributions
• Effect of dielectric medium
• Capacitance of simple configurations
• Biot ‐ Savart's law
• Ampere'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
• 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.

#### 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
• 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
• 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
• 8085 Microprocessor
• 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.

#### TOPICS NOT INCLUDED IN GATE SYLLABUS

1. Electrical Materials
2. Electrical and Electronics measurement.
• A. Basic of sensors, Transducers.
• B. Basic of data acquisition systems.
3. Computer fundamentals.
4. Basic of electronics engineering.
5. Communication Systems.
6. Signal Processing
• A. Discrete cosine transform
• B. FIR, IIR, filter
• C. Bilinear transformation