## 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, Divergence 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.

## Section 2: Electric circuits

Network elements: ideal voltage and current sources, dependent sources, R, L, C, M
elements; Network solution methods: KCL, KVL, Node and Mesh analysis; Network
Theorems: Thevenin’s, Norton’s, Superposition and Maximum Power Transfer theorem; Transient response of dc and ac networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation, complex 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 properties,
linear time invariant and causal systems, Fourier series representation of continuous
and discrete time periodic signals, sampling theorem, Applications of Fourier Transform
for continuous and discrete time signals, Laplace Transform and Z transform. R.M.S.
value, average value calculation for any general periodic waveform

## Section 5: Electrical Machines

Single phase transformer: equivalent circuit, phasor diagram, open circuit and short
circuit tests, regulation and efficiency; Three-phase transformers: connections, vector
groups, parallel operation; Auto-transformer, Electromechanical energy conversion
principles; DC machines: separately excited, series and shunt, motoring and generating
mode of operation and their characteristics, speed control of dc motors; Three-phase
induction machines: 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 and characteristics, regulation and
parallel operation of generators, starting of synchronous motors; Types of losses and
efficiency calculations of electric machines

## Section 6: Power Systems

Basic concepts of electrical power generation, ac and dc transmission concepts, Models
and performance of transmission lines and cables, Economic Load Dispatch (with and
without considering transmission losses), 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, directional 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, Stability analysis using Routh-Hurwitz and Nyquist
criteria, Bode plots, Root loci, Lag, Lead and Lead-Lag compensators; P, PI and PID
controllers; State space model, Solution of state equations of LTI systems

## 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

Simple diode circuits: clipping, clamping, rectifiers; Amplifiers: biasing, equivalent circuit
and frequency response; oscillators and feedback amplifiers; operational amplifiers:
characteristics and applications; single stage active filters, Active Filters: Sallen Key,
Butterwoth, VCOs and timers, combinatorial and sequential logic circuits, multiplexers,
demultiplexers, Schmitt triggers, sample and hold circuits, A/D and D/A converters.

## Section 10: Power Electronics

Static V-I characteristics and firing/gating circuits for Thyristor, MOSFET, IGBT; DC to DC conversion: Buck, Boost and Buck-Boost Converters; Single and three-phase configuration of uncontrolled rectifiers; Voltage and Current commutated Thyristor based converters; Bidirectional ac to dc voltage source converters; Magnitude and Phase of line current harmonics for uncontrolled and thyristor based converters; Power factor and Distortion Factor of ac to dc converters; Single-phase and three-phase voltage and current source inverters, sinusoidal pulse width modulation.