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.