
For a UPSC CSE aspirant, the optional subject is also an important subject. In the UPSC mains exam, optional marks have two papers, Paper 1 and Paper 2. Each paper is of 250 marks which makes a total of 500 marks. The UPSC optional subject list contains 48 subjects in total, one of which is Electrical Engineering.
- This subject syllabus mainly focuses on the candidates’ understanding of the basic concepts and application of knowledge.
- Students who have studied Electrical Engineering in their graduation can choose this as an optional subject.
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SYLLABUS OF PAPER I

- Circuit Theory:
- Components of a circuit, network graphs.
- KCL, KVL.
- Circuit analysis methods: mesh analysis, nodal analysis, basic network theorems along with its applications
- Transient analysis: RL, RC, and RLC circuits, sinusoidal steady-state analysis, coupled circuits, resonant circuits, balanced 3-phase circuits.
- Two-port networks.
- Signals & Systems:
- Representation of continuous-time and discrete-time signals & systems,
- LTI systems, time-domain analysis of LTI systems based on convolution and differential/difference equations.
- Convolution, impulse response
- 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
- Boundary conditions, reflection, and refraction of plane waves.
- Wave propagation in bounded media.
- Transmission line: Standing and traveling waves, impedance matching.
- Smith chart
- Analog Electronics:
- Characteristics and equivalent circuits (large and small-signal) of Diode, JFET, BJT, and MOSFET.
- Diode circuits: Clamping, clipping, rectifier.
- Biasing and bias stability.
- Current mirror
- FET amplifiers
- OPAMP circuits
- Amplifiers: Single, and multi-stage, differential, operational, feedback, and power, analysis, frequency, response.
- 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 (TTL, DTL ECL, CMOS, MOS).
- Combinational circuits: arithmetic circuits, code converters, multiplexers, and decoders.
- Sequential circuits: latches and flip-flops, counters, and shift-registers.
- Comparators, timers, multivibrator
- Sample and hold circuits, ADCs, and DACs
- Semiconductor memories
- Logic implementation using programmable devices (ROM, PLA, FPGA).
- Energy Conversion:
- DC machines: characteristics and performance analysis, starting and speed control of motors
- Principles of electromechanical energy conversion: Torque and emf in rotating machines.
- Transformers: principles of operation and analysis, regulation, efficiency, 3-phase transformers.
- 3-phase induction machines and synchronous machines: characteristics and performance analysis, speed control.
- Power Electronics and Electric Drives:
- Semiconductor power devices: diode, transistor, thyristor, triac, GTO and MOSFET-static principles and characteristic of operation, triggering circuits, phase control rectifiers
- Bridge converters: half controlled and fully controlled
- Principles of thyristor choppers and inverters, DCDC converters, Switch mode inverter
- Basic concepts of speed control of dc and ac Motor drive
- Applications of variable speed drives.
- Analog Communication:
- Random variables: discrete, continuous, probability, and probability functions.
- Statistical averages, probability models.
- Random signals and noise: noise equivalent bandwidth, signal transmission with noise, white noise, a 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, Preemphasis, Deemphasis.
- CW modulation system: Superheterodyne receivers, communication receivers, FM receivers, AM receivers, phase-locked loop, SSB receiver Signal to noise ratio calculation for AM and FM receivers.
SYLLABUS OF PAPER II

- Control Systems:
- Elements of control systems
- Block-diagram representation
- Control system components
- Open-loop & closed-loop systems; principles and applications of feed-back
- LTI systems: time-domain and transform-domain analysis.
- State variable representation and analysis of control systems.
- Stability: Routh Hurwitz criterion, root-loci, Bode plots, and polar plots, Nyquist’s criterion, Design of lead-lad compensators. Proportional, PI, PID controllers.
- Microprocessors and Microcomputers:
- PC organization, CPU, register set, instruction set, timing diagram, programming, memory interfacing, interrupts, I/O interfacing, programmable peripheral devices.
- Measurement and Instrumentation:
- Error analysis, measurement of current, power, voltage, energy, power-factor, resistance, capacitance, inductance, and frequency
- Bridge measurement
- Signal conditioning circuit
- Electronic measuring instruments: multimeter, CRO, digital voltmeter, Q-meter, frequency counter, spectrum-analyzer, distortion-meter.
- Transducers: Thermistor, thermocouple, 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 distribution, and transfer, per-unit quantities, bus admittance, and impedance matrices, voltage control, load flow, and power factor correction, economic operation, symmetrical components, analysis of symmetrical and unsymmetrical faults.
- Static VAR system
- Concept of system stability: swing curves and equal area criterion
- Basic concepts of HVDC transmission
- Power System Protection:
- Principles of overcurrent, differential, and distance protection
- Circuit breakers
- Concept of solid-state relays
- Computer-aided protection: Introduction, line bus, generator, numeric relays, transformer protection, 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)
- Information measure and source coding
- Error control coding: error detection and correction, linear block codes, convolution codes
- 7-layer architecture
- Data networks