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EE (IAS) Cheat Sheet by [deleted]



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.
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.
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.
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.
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).
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.
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.
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.

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.
Micr­opr­oce­ssors and Microc­omp­ute­rs:
PC organi­sation; CPU, instru­ction set, register set, timing diagram, progra­mming, interr­upts, memory interf­acing, I/O interf­acing, progra­mmable peripheral devices.
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.
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.
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.
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.

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