ESE Prelims Electrical study plan
ESE Prelims Electrical · Give each week a clear focus.
8 weeks · About 6 hours per week
Electrical Circuits and Network Theory
Solve 40 two-port network problems by computing z-, y-, h- and ABCD parameters and converting between parameter sets without referring to a formula sheet
Derive and apply Thevenin and Norton equivalents to 15 circuits containing dependent sources, verifying each answer by nodal analysis
Compute transient responses of first-order RL and RC circuits for step and switched inputs, writing the full time-domain expression for 15 cases
State and apply the initial- and final-value theorems to 10 Laplace-domain circuit problems and cross-check against time-domain solutions
Your checkpoint
A 25-problem timed set on circuit theorems, two-port parameters and transients, scored and error-logged with the cause of each mistake
Electrical Circuits and Network Theory & Signals and Systems
Determine resonance frequency, bandwidth and quality factor for 15 series and parallel RLC circuits, including loaded-Q effects
Analyse three-phase balanced and unbalanced loads, computing line and phase quantities for star and delta configurations in 12 problems
Classify signals by energy, power, periodicity and symmetry, and compute Fourier series coefficients for 8 standard waveforms
Apply Laplace transform properties to solve 10 initial-condition circuit and system problems
Your checkpoint
A one-page formula-and-method sheet for resonance, three-phase power and transform pairs, plus 20 solved problems attached
Electrical Machines
Draw and explain the equivalent circuit of a transformer and compute regulation and efficiency at specified load power factors for 12 problems
Solve 10 three-phase induction motor problems using slip, rotor frequency, torque-slip relation and maximum-torque conditions
Analyse DC machine characteristics, including armature reaction, commutation and speed control methods, across 10 numerical problems
Compare starting methods for induction and DC motors and select the correct method for 8 stated duty requirements
Solve 8 synchronous machine problems on voltage regulation by EMF and MMF methods and on parallel operation
Your checkpoint
A machine-by-machine summary table of equivalent-circuit parameters, key equations and typical loss data, tested against 20 mixed numericals
Power Systems
Compute per-unit quantities for a 3-bus system and build the Y-bus matrix by inspection in 8 problems
Perform one iteration each of Gauss-Seidel and Newton-Raphson load flow by hand on a 3-bus network and compare convergence behaviour
Calculate fault currents for symmetrical three-phase faults using Thevenin reactance and per-unit methods in 10 problems
Explain symmetrical components and compute sequence networks for a single line-to-ground fault in 5 problems
Solve 8 problems on transmission-line parameters, surge impedance loading and voltage regulation
Your checkpoint
A worked 3-bus load-flow and fault-study portfolio, with hand calculations and a written check of each result against expected magnitudes
Control Systems & Electrical and Electronic Measurements
Reduce 12 block diagrams and apply Mason's gain formula to 8 signal-flow graphs, stating forward paths and loops explicitly
Construct Routh arrays for 10 characteristic polynomials and determine stability and marginal-stability conditions
Sketch root loci for 8 systems by applying the angle and magnitude criteria, marking breakaway and asymptote points
Compute steady-state error, gain margin and phase margin from Bode plots for 10 open-loop transfer functions
Solve 10 measurement problems on bridge circuits, instrument transformers and error analysis of ammeter and voltmeter loading
Your checkpoint
A stability-analysis workbook covering 20 systems, each with Routh result, root-locus sketch and margin values
Analog and Digital Electronics
Design and analyse 12 op-amp circuits, including inverting, non-inverting, integrator, differentiator and instrumentation configurations, computing gain and bandwidth limits
Solve 15 diode and BJT biasing problems, including Zener regulation and small-signal gain with load-line checks
Reduce 15 Boolean expressions using Karnaugh maps and implement each with minimal NAND or NOR gates
Design 8 sequential circuits covering counters and shift registers, and draw complete state diagrams
Analyse 10 combinational blocks including multiplexers, decoders and adders, and state the function each realizes
Your checkpoint
A digital design set of 10 fully drawn circuits with truth tables, state diagrams and gate-count justification
Power Electronics and Drives
Compute output voltage, ripple and component stresses for 10 controlled rectifier circuits with resistive and inductive loads at stated firing angles
Analyse 8 DC-DC converter topologies in continuous and discontinuous conduction mode and derive the voltage transfer ratio for each
Compare 6 inverter topologies on harmonic content and switching scheme, and compute fundamental RMS output for each
Solve 10 chopper and AC voltage controller problems, stating conduction intervals explicitly
Select a drive configuration for 8 mechanical load torque-speed profiles and justify the choice with a speed-torque plot
Your checkpoint
A converter cheat sheet pairing each topology with its waveform sketch, transfer ratio and typical application, validated by 15 numericals
Electromagnetic Field Theory & General Studies and Engineering Aptitude & Electrical Circuits and Network Theory & Electrical Machines & Power Systems & Control Systems & Electrical and Electronic Measurements & Analog and Digital Electronics & Power Electronics and Drives
Apply Gauss's law, Ampere's law and boundary conditions to 10 electrostatic and magnetostatic field problems
Compute capacitance, inductance and force for 8 standard geometries and state the governing field law used
Revise engineering aptitude topics including estimation, numerical reasoning and ethics by completing 60 practice items
Take two full-length mixed mock tests under timed conditions and record domain-wise accuracy for each
Re-solve every error from weeks 1 to 7 and confirm each corrected method on a fresh problem
Your checkpoint
Two completed mock tests with a domain-accuracy table and a one-page list of remaining weak areas with a revision action for each
Milestones
Week 2: Score at least 70 percent on a 30-problem circuits and signals set, with no error repeated from the week-1 log
Week 4: Complete the 3-bus load-flow and fault portfolio unaided within 90 minutes and explain each step in writing
Week 6: Score at least 65 percent on a 40-problem set spanning machines, power systems, control and electronics
Week 8: Achieve at least 60 percent overall on both full mocks with no domain below 40 percent accuracy