##
**GATE Electrical
Engineering (EE) 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.

**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 6: 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.

**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.

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