PAPER - I
1. Circuit Theory: Circuit components; network graphs; KCL, KVL; circuit analysis methods: nodal analysis, mesh analysis; basic network theorems and applications; transient analysis: RL, RC and RLC circuits; sinusoidal steady state analysis; resonant circuits; coupled circuits; balanced 3-phase circuits; Two-port networks.
2. Signals & Systems: Representation of continuous–time and discrete-time signals & systems; LTI systems; convolution; impulse response; time-domain analysis of LTI systems based on convolution and differential/difference equations. Fourier transform, Laplace transform, Z-transform, Transfer function. Sampling and recovery of signals DFT, FFT Processing of analog signals through discrete-time systems.
3. E.M. Theory: Maxwell’s equations, wave propagation in bounded media. Boundary conditions, reflection and refraction of plane waves. Transmission line: travelling and standing waves, impedance matching, Smith chart. 4. Analog Electronics: Characteristics and equivalent circuits (large and small-
signal) of Diode, BJT, JFET and MOSFET. Diode circuits: clipping, clamping, rectifier. Biasing and bias stability. FET amplifiers. Current mirror; Amplifiers: single and multi-stage, differential, operational, feedback and power. Analysis of amplifiers; frequency-response of amplifiers. OPAMP circuits. Filters; sinusoidal oscillators: criterion for oscillation; single-transistor and OPAMP configurations. Function generators and wave-shaping circuits. Linear and switching power supplies.
5. Digital Electronics: Boolean algebra; minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinational circuits: arithmetic circuits, code converters, multiplexers and decoders. Sequential circuits: latches and flip-flops, counters and shift-registers. Comparators, timers, multivibrators. Sample and hold circuits, ADCs and
DACs. Semiconductor memories. Logic implementation using programmable devices (ROM, PLA, FPGA).
6. Energy Conversion: Principles of electromechanical energy conversion: Torque and emf in rotating machines. DC machines: characteristics and performance analysis; starting and speed control of motors; Transformers: principles of operation and analysis; regulation, efficiency; 3-phase transformers. 3-phase induction machines and synchronous machines: characteristics and preformance analysis; speed control.
7. Power Electronics and Electric Drives: Semiconductor power devices: diode, transistor, thyristor, triac, GTO and MOSFET–static characteristics and principles of operation; triggering circuits; phase control rectifiers; bridge converters: fully-controlled and half-controlled; principles of thyristor choppers and inverters; DC-DC converters; Switch mode inverter; basic concepts of speed control of dc and ac motor drives applications of variable-speed drives. 8. Analog Communication: Random variables: continuous, discrete; probability, probability functions. Statistical averages; probability models; Random signals and noise: white noise, noise equivalent bandwidth; signal transmission with noise; signal to noise ratio. Linear CW modulation: Amplitude modulation: DSB, DSB-SC and SSB. Modulators and Demodulators; Phase and Frequency modulation: PM & FM signals; narrowband FM; generation & detection of FM and PM, Deemphasis, Preemphasis. CW modulation system: Superhetrodyne receivers, AM receivers, communication receivers, FM receivers, phase locked loop, SSB receiver Signal to noise ratio calculation for AM and FM receivers.
PAPER - II
1. Control Systems: Elements of control systems; block-diagram representation; open-loop & closed-loop systems; principles and applications of feed-back. Control system components. LTI systems: time-domain and transform-domain analysis. Stability: Routh Hurwitz criterion, root-loci, Bode- plots and polar plots, Nyquist’s criterion; Design of lead-lad compensators. Proportional, PI, PID controllers. State-variable representation and analysis of control systems.
2. Microprocessors and Microcomputers: PC organisation; CPU, instruction set, register set, timing diagram, programming, interrupts, memory interfacing, I/O interfacing, programmable peripheral devices.
3. Measurement and Instrumentation: Error analysis; measurement of current, voltage, power, energy, power-factor, resistance, inductance, capacitance and frequency; bridge measurement. Signal conditioning circuit; Electronic measuring instruments: multimeter, CRO, digital voltmeter, frequency counter, Q-meter, spectrum-analyzer, distortion-meter. Transducers: thermocouple, thermistor, LVDT, strain-gauge, piezo-electric crystal.
4. Power Systems: Analysis and Control: Steady-state performance of overhead transmission lines and cables; principles of active and reactive power transfer and distribution; per-unit quantities; bus admittance and impedance matrices; load flow; voltage control and power factor correction; economic operation; symmetrical components, analysis of symmetrical and unsymmetrical faults. Concept of system stability: swing curves and equal area criterion. Static VAR system. Basic concepts of HVDC transmission.
5. Power System Protection:
Principles of overcurrent, differential and distance protection. Concept of solid state relays. Circuit breakers. Computer aided protection: Introduction; line bus, generator, transformer protection; numeric relays and application of DSP to protection.
6. Digital Communication:
Pulse code modulation (PCM), differential pulse code modulation (DPCM), delta modulation (DM), Digital modulation and demodulation schemes: amplitude, phase and frequency keying schemes (ASK, PSK, FSK). Error control coding: error detection and correction, linear block codes, convolution codes. Information measure and source coding. Data networks, 7-layer architecture.
GEOGRAPHY
PART A - PRELIMINARY EXAMINATION Section-A
Physical Georgraphy
i) Geomorphology
Origin of the earth; Geological Time Scale; Interior of the earth; Types and characteristics of rocks; Folding and Faulting; Volcanoes; Earthquakes; Weathering; Landforms caused by fluvial, aeolian and glacial actions.
ii) Climatology
Structure and composition of atmosphere; Temperature; Pressure belts and Wind systems; Clouds and rainfall types; Cyclones and anti-cyclones; Major climatic types.
iii) Oceanography
Ocean relief; Temperature; Salinity; Ocean deposits; Ocean currents, El Nino and La Nino; Waves and tides.
iv) Biogeography
Origin and types of soils; Major biomes of the world; Ecosystem and food chain; Environmental degradation and conservation.
Section-B Human Geography i) Man and Environment Relationship
Growth and development of Human Geography; Concepts of Determinism and Possibilism.
ii) Population
Races of mankind and tribes; growth and distribution of world population; migration; population problems of developed and developing countries. iii) Economic Activities
Food gathering and hunting; pastoral herding; fishing and forestry; Types of agriculture-shifting, subsistence, commercial and plantation; Mining, Power; Manufacturing -locational factors of textile, iron and steel, sugar and fertilizer industries; Tertiary activities-trade, transport, communication and services. iv) Settlements
Origin, types and patterns of rural settlements; Processes of urbanisation; morphology and functional classification of towns; million-cities and mega-cities.
Section-C Geography of the World
i) Major Natural Regions : Characteristics, economic base and human adaptation. ii) Regional Geography of Developed Countries : Canada, U.S.A., Western Europe,
iii) Regional Geography of Developing Countries : S.E. Asia, S.W. Asia, China, Southern Africa and Brazil.
iv) Regional Geography of South Asia. Section-D Geography of India i) Physical Setting
Landforms, drainage, climate, soils and natural vegetation. ii) Economic Base
Minerals & energy resources, aquatic resources, forest resources; irrigation, agriculture and industries; trade and commerce.
iii) Population
Growth, distribution and density; demographic characteristics.
iv) Environmental problems, developmental issues and regional planning. Section-E
Geographical Thought
i) Ancient Period : Contributions of Indians, Greeks, Romans and Arabs. ii) Pre-Modern Period : Contribution of Verenius, Kant, Humboldt and Ritter. iii) Modern Period : Dichotomy of determinism and possibilism; contributions of
Ratzel, Semple, Huntington and La Blache.
iv) Recent Period : Quantitive Revolution; Radicalism, Behaviouralism and Humanism.
Section-F
Techniques of Geographical Analysis i) Maps : Scale and types, uses.
ii) Diagrams : Types and uses
iii) Projections : Types, characteristics and uses.
iv) Remote sensing and geographical information system (GIS) : Aerial photographs and imagery, GIS.