## Karnataka PGCET 2016 M.Tech Syllabus – Electrical Sciences

Karnataka Examinations Authority Post Graduate Common Entrance Test (KEA PGCET) M.Tech Admissions 2016 Syllabus for Electrical Sciences is given below.

**1. Engineering Mathematics:**

**Linear Algebra:** Matrices and Determinants, Systems of linear equations, Eigen values and Eigen Vectors

**Calculus:** Limit, Continuity and Differentiability; Partial Derivatives; Maxima and Minima ; Sequences and Series; Test for conveigence; Fourier series.

**Vector Calculus:** Gradient; Divergence and Curl; Line; Surface and Volume integrals; Stokes. Gauss and Green’s theorems.

**Differential Equations:** Linear and non-linear first order ODEs; Higher order linear ODEs with constant coefficients, Cauchy’s and Euler’s equations; Laplace transforms; PDEs — Laplace. heat and wave equations.

**Probability and Statistics :** Mean, median, mode and standard deviation; Random variables; Poisson, normal and binomial distributions: Correlation and regression analysis.

**Numerical Methods:** Solutions of linear and non-linear algebraic equations; Integration of trapezoidal and Simpson ‘s rule: single and multi-step methods for differential equations.

**2. Electric Circuits & Fields:**

**Network Topology :** Graph of Network, concept of tree. links, tie set schedule, cutset schedule

**Circuit Concepts:** Source transformation, circuit analysis using loop current and node voltage methods, star-delta conversion, dual networks and concept of controlled sources. Network theorems, Resonant circuits, locus diagrams, Coupled circuits, polyphase circuits. Laplace transformations and applications, Non sinusoidal waveforms, initial conditions.

**Network Functions:** Network functions of one and two port networks, driving point & transfer functions, concepts of poles and zeroes. Two-port Network: Y and Z Parameters and h —Parameters of two port networks. PR functions & Hurwitz Polynomial, Gauss’s theorem, electric field intensity and plane charges, capacitance of parallel plates and coaxial cylinders. Ampere’s and Blot-Savart’s laws, inductance of long and short solenoids.

**3. Analog & Digital Electronics:**

**Analog Electronics:** Transistor biasing and bias stability, Class A, Class B & Class C Amplifiers, small signal h-parameter equivalent circuit of transistor. Expression for current gain, voltage gain, input impedance. RC coupled amplifier, frequency response, half power frequencies, bandwidth, factors influencing the bandwidth RC Coupled emitter follower amplifier, current gain, voltage gain. input & output impedance, applications FET-RC coupled Amplifier:

**Power Amplifiers:** Class A, Class B, push pull and Class C power amplifiers. max power output Driving power requirements.

**Feed back amplifiers & oscillators:** Concept of positive & negative feed back advantages of negative feedback. Voltage & current feed back, effect of the same on performance characteristics. Condition for oscillation, Weinbridge oscillator, expression for frequency of oscillation, Crystal oscillators, voltage regulator, opErational amplifiers, comparator, ZCD, precision rectifier. I to V & V to I converters, instrumentation amplifiers, square wave, triangular wave & saw tooth wave generator.

**Wave shaping circuits:** Clipping, Clamping, integrator & differentiator circuits.

**Digital Electronics:** Digital signals, Boolean constants and variables, Basic logic operations, AND. OR, NOR gates and realization or truth tables, Boolean expressions, simplification.

**Number Systems & codes:** Decimal, binary, octal, hexadecimal, binary coded decimal; octal, hex numbers. Excess 3 and Gray codes, binary arithmetic. Karnaugh map method of obtaining logic expressions, maxterm, minterm realization of logic functions using basic gates & also using NAND & NOR gates. Half adder, Full Adder.

**Flip- Flops:** R-S flip-flop, Clocked R-S, D-FT, JK, Master Slave JK-FF, Edge triggered flip-flops Sequential Logic : Registers, Shill registers, asynchronous counters, synchronous counters sequential circuits. AID and D/A converters, Multiplexers, Demultiplexers.

**Semiconductor memories :** RAM, ROM, PROM, EPROM, and EEPROMS

**4. Control Systems:** Basic control system concepts, transfer function, Block Diagram reduction, signal flow graph, DC & AC servomotors & their TF; analogous systems F-V, F-I analogies, Time domain and frequency domain analysis.

**Stability :** Absolute and relative stability, RH criterion. Polar plots, phase cross over & gain cross over frequencies. Bode plots, phase plot and gain plot, determination of gain and phase margins Nyquist stability criterion: Principle of mapping of Nyquist path, gain margin, phase margin. Nyquist stability criterion. Root locus.

**State space technique,** state variables state model of linear systems, solution of state equation, state transition matrix.

**5. Microprocessors:** 8085 architecture, Instruction set, Addressing modes, Timing Diagram.

**Programming :** Main and subroutine programs. Conditional call and return, counter and delay subroutines

**Interrupts :** Vector interrupts, interrupts routines, Restart instructions.

**Memory & 110 Interfacing :** Memory map and I/O map methods & interfacing devices, 8255 (PPI), 8253(PIT), 8259(PIC). Architecture and Instructions of 8 bit micro controller.