With help of Karnataka PGCET 2020 M.Tech Syllabus of Electrical Sciences, candidates can prepare the examination in better way to crack the Entrance Test. Candidates can use the syllabus while preparing for Karnataka PGCET 2020 M.Tech in Electrical Sciences. To get more information about topics cover in the syllabus of M.Tech (Electrical Sciences) Entrance Test, check this article.

## Karnataka PGCET 2020 M.Tech Syllabus – Electrical Sciences

Karnataka Examinations Authority Post Graduate Common Entrance Test (KEA PGCET) M.Tech Admissions 2020 Syllabus for Electrical Sciences is given below.

### Electrical Sciences: Part – A

**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.

**Partial Differential Equations:** PDEs, formation of PDEs, solution of PDE by direct integration and separation of variables. Heat and wave equations.

**Transforms:** Laplace transforms, Fourier transform and Z-transform.

**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 – Thevenin’s, Norton, Maximum power transfer, superposition and reciprocity, Resonant circuits, Transient analysis, Laplace transformations and applications, Standard test signals, Initial conditions.

**Two-port Network: **y and z Parameters and h-Parameters of two port networks.

**Errors in Measurement-** Types of errors and sources of errors.

**Electric filed-** Coulomb’s law and electric field intensity, Electric flux density.

**3. Analog & Digital Electronics:**

**Analog Electronics:** Diode Circuits, Rectifiers, 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 and 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, Wein bridge 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:**

**Number Systems & codes: **Decimal, Binary, Octal, Hexadecimal, Binary coded decimal, Octal, Hex numbers, Excess 3 and Gray codes, Binary arithmetic.

**Digital Circuits: Combinational Logic Circuits: **Digital signals, Boolean constants and variables, Basic logic operations, AND, OR, NOR gates and realization or truth tables, Boolean -expressions, Simplification of Boolean Expressions using basic theorems, Karnaugh map method of obtaining logic expressions, maxterm, mintenn realization of logic functions using basic gates & also using NAND & NOR gates. Half adder, Full Adder, Multiplexers, Demultiplexers, Encoders & Decoders, A/D and D/A converters,

**Sequential Logic:** SR Latch, Clocked RS FF, D FF, JK & T FF, Master Slave JK-FF, Edge triggered flip-flops, Registers, Shift registers, Asynchronous counters, Synchronous counters.

**Semiconductor Memories:** RAM, ROM, PROM, EPROM, EEPROM and Flash.

**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. 8051 Microcontroller:**

- Microprocessor Vs Microcontroller, CPU Architectures-Von-Neumann, Harvard, CISC and RISC.
- 8051 Microcontroller: Architecture, Memory organization, Addressing modes, Instruction set.
- 8051 Programming: Assembly language programs, Time delay calculations and subroutines.
- 8051- Interrupts, Timers/Counters, Serial Communication.
- 8051 Memory Interfacing and I/O Interfacing.

### Electrical Sciences: Part – B

**1.** **VLSI Design and Embedded Systems:** Micro-electronics, CMOS Logic structures, Scaling, Sub-system design and layout, Testability, Embedded system design and development, RTOS.

**2. Signals & Systems and DSP:** Types of Signals and Systems, properties of systems, convolution, correlation, Fourier series and transforms (Discrete Time), Z-transform, DFT and FFT, Structure for FIR & Lk system, Windowing techniques, Analog and digital filter design, FIR & IIR filter design.

**3. Analog and Digital Communication and Networking:** AM, FM, PM, digital communication sampling, digital coding of analog wave forms, ISI, digital modulation techniques – PSK, BPSK, QPSK, MSK, Spread spectrum, ISO/ OSI model, TCP/IP model, Internet working. Wireless Communication- Cellular concept, Cell fundamentals, Capacity expansion techniques, Mobility management, GSM channel concept, CDMA channel concept, Diversity techniques, Wireless LAN.

**4. Micro Waves and Antennas:** Transmission lines, Characteristic impedance, impedance transformation, Passive and active microwave devices, microwave measurement, Radar systems, Radio telemetry. Rectangular wave guides and Circular wave, guides, Antenna parameters – Radiation pattern, Beam area, Radiation intensity, Beam efficiency, Directivity and gain, Effective height, radiation efficiency, Reciprocity theorem, Dipole antennas, Antenna arrays, Different types of antennas.

**5. Power Electronics: **Diodes, transistors, amplifiers, voltage regulators and power supplies, characteristics of DIAC, TRIAC, MOSFET, IGBT, Thyristors and its control circuits, control rectifiers, commutation techniques, AC voltage controller.

**6. 8086 Microprocessor** – Architecture, Memory Segmentation, Addressing Modes, Instruction set, I/O interfacing, 8255, 8253.

Karnataka PGCET M.Tech Syllabus

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