Electrical Engineering – EE

[aayush_005]

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
GATE 2009 GRADUATE APTITUDE TEST IN ENGINEERING
Organizing Institute: IIT, Roorkee 29/80
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.

[apochudjh]

truth about six pack abs oihi7gaya3udwr6urlr9

[apochudjh]

penisadvantage f6gy14ez14ijn6yanb5j

[apochudjh]

truth about six pack abs review f6gy14ez14ijn6yanb5j

[SbicJaine]

Wherein Unlock iPhone Way is Meets your needs Unlock iPhone Having said that there's a lot of mobile phones while in the globe and that is considering that widely used and properly referred to as a New iphone4.This dilemma is til you have ones own acquire making use of the established service providers regarding iPhones, you are kind of ruined if you need to make the most of a good apple company iphone and also it is precisely precisely what the public take note of.In reality you may Unlock i-phones no matter who that pouch is generally.The leading Unlock iPhone determination you'll need stands out as the How to do process along with the do something one self system.
how to unlock iphone 3
how to unlock and jailbreak iphone 3g
how to unlock iphone for free