The
Graduate Aptitude Test in Engineering (GATE) is an all India
examination conducted jointly by the Indian Institute of Science and
seven IIT's (IIT Bombay, IIT Guwahati, IIT Kanpur, IIT Kharagpur, IIT
Delhi, IIT Madras and IIT Roorkee) on behalf of the National
Coordination Board – GATE, Department of Higher Education, Ministry of
Human Resource Development (MHRD), Government of India. The GATE Score
of a candidate reflects the relative performance level of a candidate.
The score is used for admissions to various post-graduate programmes
(e.g. M.E., M.Tech, direct Ph.D.) in Indian higher education institutes
with financial assistance provided by MHRD and other Government
agencies.
Gate Syllabus for Electrical Engineering
This
post is regarding the 2014 Syllabus for Electrical Engineering (EE).
The syllabus is mainly divided into Engineering Mathematics and
Electrical Engineering. Below given is the detailed syllabus of Gate
2014 EE.
Engineering Mathematics
Linear Algebra:
Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
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, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
Differential
equations:
First order equation (linear and nonlinear), Higher order linear
differential equations with constant coefficients, Method of variation
of parameters, Cauchy's and Euler's equations, Initial and boundary
value problems, Partial Differential Equations and variable separable
method.
Complex
variables:
Analytic functions, Cauchy's integral theorem and integral formula,
Taylor's and Laurent' series, Residue theorem, solution integrals.
Probability
and Statistics:
Sampling theorems, Conditional probability, Mean, median, mode and
standard deviation, Random variables, Discrete and continuous
distributions, Poisson, Normal and Binomial distribution, Correlation
and regression analysis.
Numerical Methods:
Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
Transform Theory:
Fourier transform, Laplace transform, Z-transform.
Electrical Engineering
Electric
Circuits and Fields: Network graph, KCL, KVL, node and mesh analysis,
transient response of dc and ac networks; sinusoidal steady-state
analysis, resonance, basic filter concepts; ideal current and voltage
sources, Thevenin’s, Norton’s and Superposition and Maximum Power
Transfer theorems, two-port networks, three phase circuits; Gauss
Theorem, electric field and potential due to point, line, plane and
spherical charge distributions; Ampere’s and Biot-Savart’s laws;
inductance; dielectrics; capacitance.
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; Fourier, Laplace and Z transforms.
Electrical
Machines: Single phase transformer – equivalent circuit, phasor
diagram, tests, regulation and efficiency; three phase transformers –
connections, parallel operation; auto-transformer; energy conversion
principles; DC machines – types, windings, generator characteristics,
armature reaction and commutation, starting and speed control of motors;
three phase induction motors – principles, types, performance
characteristics, starting and speed control; single phase induction
motors; synchronous machines – performance, regulation and parallel
operation of generators, motor starting, characteristics and
applications; servo and stepper motors.
Power
Systems: Basic power generation concepts; transmission line models and
performance; cable performance, insulation; corona and radio
interference; distribution systems; per-unit quantities; bus impedance
and admittance matrices; load flow; voltage control; power factor
correction; economic operation; symmetrical components; fault analysis;
principles of over-current, differential and distance protection; solid
state relays and digital protection; circuit breakers; system stability
concepts, swing curves and equal area criterion; HVDC transmission and
FACTS concepts.
Control
Systems: Principles of feedback; transfer function; block diagrams;
steady-state errors; Routh and Niquist techniques; Bode plots; root
loci; lag, lead and lead-lag compensation; state space model; state
transition matrix, controllability and observability.
Electrical
and Electronic Measurements: Bridges and potentiometers; PMMC, moving
iron, dynamometer and induction type instruments; measurement of
voltage, current, power, energy and power factor; instrument
transformers; digital voltmeters and multimeters; phase, time and
frequency measurement; Q-meters; oscilloscopes; potentiometric
recorders; error analysis.
Analog
and Digital Electronics: Characteristics of diodes, BJT, FET;
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;
Schmitt trigger; multi-vibrators; sample and hold circuits; A/D and D/A
converters; 8-bit microprocessor basics, architecture, programming and
interfacing.
Power
Electronics and Drives: Semiconductor power diodes, transistors,
thyristors, triacs, GTOs, MOSFETs and IGBTs – static characteristics and
principles of operation; triggering circuits; phase control rectifiers;
bridge converters – fully controlled and half controlled; principles of
choppers and inverters; basis concepts of adjustable speed dc and ac
drives.
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