GATE Electrical Engineering (EE) Syllabus
GATE EE covers engineering mathematics, electric circuits, electromagnetic fields, signals and systems, electrical machines, power systems, control systems, measurements, analog and digital electronics, and power electronics, plus general aptitude.
11 subjects · 61 topics · 400 subtopics
General Aptitude
Verbal Aptitude
- English Grammar (Tenses, Articles, Prepositions, Conjunctions)
- Verb-Noun Agreement & Parts of Speech
- Vocabulary (Words, Idioms, Phrases in Context)
- Reading Comprehension
- Narrative Sequencing
Quantitative Aptitude
- Data Interpretation (Bar, Pie, Graphs, Tables)
- Ratios, Percentages, Powers, Exponents & Logarithms
- Permutations & Combinations
- Series
- Mensuration & Geometry
- Elementary Statistics & Probability
- Simple & Compound Interest
- Alligation & Mixture
- Partnership
- Time & Work
Analytical Aptitude
- Deduction & Induction
- Analogy
- Numerical Relations & Reasoning
Spatial Aptitude
- Transformation of Shapes (Translation, Rotation, Scaling, Mirroring)
- Paper Folding, Cutting & Patterns
- 2D & 3D Patterns
Engineering Mathematics
Linear Algebra
- Matrix Algebra
- Determinants
- Rank of a Matrix
- Systems of Linear Equations
- Existence & Uniqueness
- Gaussian Elimination
- Eigenvalues & Eigenvectors
- Diagonalization
- Cayley-Hamilton Theorem
- Quadratic Forms
Calculus
- Mean Value Theorems
- Fundamental Theorem of Calculus
- Definite & Improper Integrals
- Partial & Total Derivatives
- Maxima & Minima
- Multiple Integrals
- Fourier Series
Vector Calculus
- Gradient, Divergence & Curl
- Vector Identities
- Directional Derivatives
- Line, Surface & Volume Integrals
- Stokes, Gauss & Green's Theorems
Differential Equations
- First-Order Equations
- Higher-Order Linear ODEs
- Variation of Parameters
- Cauchy & Euler Equations
- Initial & Boundary Value Problems
- Partial Differential Equations
- Separation of Variables
- Heat, Wave & Laplace Equations
Complex Variables
- Analytic Functions
- Cauchy-Riemann Equations
- Cauchy's Integral Theorem
- Taylor & Laurent Series
- Residue Theorem
- Integrals via Residues
- Contour Integration
Probability
- Conditional Probability
- Bayes' Theorem
- Random Variables
- PMF, PDF & CDF
- Joint Probability & Independence
- Expectation & Variance
- Covariance
Statistics & Distributions
- Mean, Median, Mode & SD
- Sampling Theorems
- Binomial Distribution
- Poisson Distribution
- Normal Distribution
- Standard Normal & z-Score
- Correlation & Regression
Electric Circuits
Network Elements & Sources
- Voltage & Current Sources
- Dependent Sources
- R, L, C & M Elements
- Mutual Inductance & Dot Convention
- Initial Conditions in R, L, C
- Passive Sign Convention
- Energy in L & C
Network Solution Methods
- KCL & KVL
- Node & Mesh Analysis
- Supernode & Supermesh
- Source Transformation
- Star-Delta Transformation
Network Theorems
- Thevenin's Theorem
- Norton's Theorem
- Superposition Theorem
- Maximum Power Transfer
- Reciprocity Theorem
- Tellegen's Theorem
Transient & AC Steady-State
- Transient Response (DC & AC)
- First-Order RL & RC
- Second-Order RLC
- Natural & Forced Response
- Initial & Final Value Theorems
- Laplace in Circuit Analysis
- Sinusoidal Steady-State
- Phasors, Impedance & Admittance
- Series & Parallel Resonance
- Quality Factor & Bandwidth
- Half-Power Frequencies
AC Power & Three-Phase
- RMS & Average Values
- Complex Power
- Power Factor & Correction
- Balanced Three-Phase Circuits
- Star & Delta Connections
- Three-Phase Power Measurement
- Two-Wattmeter Method
- Unbalanced Circuits
Two-Port Networks
- Z, Y, h & ABCD Parameters
- Parameter Conversion
- Interconnection of Two-Ports
- Network Functions
- Image & Iterative Impedance
Electromagnetic Fields
Electrostatics
- Coulomb's Law & E-Field
- Electric Flux & Gauss's Law
- Field & Potential of Charges
- Dielectric Media
- Boundary Conditions (E)
- Poisson & Laplace Equations
- Method of Images
- Capacitance
- Energy in Electric Field
Magnetostatics
- Biot-Savart Law
- Ampere's Law
- Flux Density & Field Intensity
- Lorentz Force
- Force on Conductors
- Force & Torque in Fields
- Torque on Current Loops
- Boundary Conditions (H)
Magnetic Circuits & Inductance
- MMF & Reluctance
- Magnetic Circuits & B-H Curve
- Hysteresis & Losses
- Eddy Currents
- Self & Mutual Inductance
- Coupled Coils
- Energy in Magnetic Field
Time-Varying Fields
- Faraday's & Lenz's Law
- Displacement Current
- Maxwell's Equations
- Continuity Equation
- Poynting Vector
- EM Wave Propagation
Signals & Systems
Signal Representation
- CT & DT Signals
- Shifting, Scaling & Reversal
- Even & Odd Decomposition
- Periodic & Aperiodic Signals
- Energy & Power Signals
- Impulse, Step & Ramp
- RMS & Average Value
LTI Systems
- LTI, Causal & Stable Systems
- Impulse Response & Convolution
- Convolution Integral & Sum
- Graphical Convolution
- Memory & Invertibility
Fourier Analysis & Sampling
- Fourier Series (CT & DT)
- CTFT & DTFT
- Fourier Transform Properties
- Frequency Response
- Sampling Theorem
- Aliasing & Reconstruction
- Parseval's Relation
Laplace & Z Transforms
- Laplace Transform & ROC
- Inverse Laplace Transform
- Transfer Function & Pole-Zero
- Z Transform & ROC
- Inverse Z Transform
- Difference Equations
- Causality & Stability (ROC)
- Initial & Final Value Theorems
Electrical Machines
Single-Phase Transformers
- Construction & Principle
- Equivalent Circuit & Phasor
- OC & SC Tests
- Polarity & Sumpner's Test
- Voltage Regulation
- Efficiency & All-Day Efficiency
- Losses & Max Efficiency
- Parallel Operation
Three-Phase Transformers
- Connections & Vector Groups
- Phase Shift & Clock Notation
- Parallel Operation & Tap Changing
- Auto-Transformer
- Instrument Transformers
Electromechanical Energy Conversion
- Energy Conversion Principles
- Singly & Doubly Excited Systems
- Torque & Co-Energy
- Force & Torque (Energy Method)
- Rotating Magnetic Field
DC Machines
- Construction & Types
- Excitation Types
- Generator & Motor Characteristics
- Armature Reaction & Commutation
- Speed Control & Starting
- DC Motor Braking
- Losses & Efficiency
Three-Phase Induction Machines
- Principle & Types
- Slip & Equivalent Circuit
- Torque-Speed & Max Torque
- No-Load & Blocked-Rotor Tests
- Performance Calculations
- Starting & Speed Control
- Circle Diagram
- Crawling & Cogging
- Deep Bar & Double Cage
- Induction Generator
Single-Phase Induction Motors
- Double Revolving Field Theory
- Starting Methods
- Shaded Pole Motor
- Equivalent Circuit
Synchronous Machines
- Cylindrical & Salient Pole
- EMF & Armature Reaction
- Synchronous Reactance & Regulation
- V-Curves
- Parallel Operation
- Two-Reaction Theory
- Synchronizing Power & Power Angle
- Starting of Synchronous Motors
- Losses & Efficiency
Power Systems
Generation & Transmission
- Power Generation Methods
- Thermal, Hydro & Renewable
- AC & DC Transmission
- Transmission Line Parameters
Transmission Line Performance
- Short, Medium & Long Line Models
- ABCD Constants
- Voltage Regulation & Efficiency
- Surge Impedance Loading
- Ferranti Effect
- Corona
- Underground Cable Capacitance
- Travelling Waves
Economic Operation & Compensation
- Economic Load Dispatch
- Penalty Factor & Incremental Cost
- Series & Shunt Compensation
- Reactive Power Compensation
- Power Factor Correction
- Voltage & Frequency Control
- Load Frequency Control
Insulators & Distribution
- E-Field in Insulators
- String Efficiency
- Grading of Insulators
- Radial & Ring Distribution
- Feeder Calculations
- Substation Layout
Per-Unit System & Load Flow
- Per-Unit & Base Conversion
- Single-Line Diagram
- Y-Bus Formation
- Z-Bus Formation
- Gauss-Seidel & Newton-Raphson
- PV, PQ & Slack Buses
- Power Flow Equations
- Voltage Profile & Losses
Fault Analysis
- Symmetrical Components
- Symmetrical Faults
- Unsymmetrical Faults (LG, LL, LLG)
- Open Conductor Faults
- Fault Current Calculation
- Current Limiting Reactors
Power System Protection
- Overcurrent Protection
- Differential & Directional
- Distance Protection
- Relay Characteristics
- Primary & Backup Protection
- Circuit Breakers
- Protection of Equipment
Power System Stability
- Steady-State & Transient Stability
- Swing Equation & Power-Angle
- Equal Area Criterion
- Critical Clearing Angle & Time
- Improving Stability
Control Systems
System Modelling
- Modelling of Physical Systems
- Feedback & Transfer Function
- Block Diagram Reduction
- Signal Flow & Mason's Gain
Time-Domain Analysis
- Transient & Steady-State Response
- First & Second-Order Response
- Time-Domain Specifications
- Steady-State Error & Error Constants
Stability Analysis
- Routh-Hurwitz Criterion
- Nyquist Criterion
- Gain & Phase Margin
- Relative Stability
Frequency Response & Root Locus
- Bode Plots
- Polar & Nyquist Plots
- Root Locus Construction
- Root Locus: Asymptotes & Angles
- Breakaway & Break-In Points
- Angle & Magnitude Conditions
- Dominant Pole Design
- Frequency-Domain Specs
- Bandwidth & Resonance
Compensators & Controllers
- Lag, Lead & Lag-Lead
- P, PI & PID Controllers
- Controller Tuning
- Effect of Controllers on Response
State-Space Analysis
- State-Space Model
- Solution of State Equations
- State Transition Matrix
- Transfer Function from States
- Controllability & Observability
- Canonical Forms
- State-Space Realization
Electrical & Electronic Measurements
Measurement Principles
- Accuracy, Precision & Resolution
- Error Analysis
- Loading Effect
- Calibration
- Instrument Classification
- Range Extension (Shunts)
Bridges & Potentiometers
- Wheatstone & Kelvin Bridge
- AC Bridges (Maxwell, Hay, Schering)
- AC & DC Potentiometers
Electrical Quantity Measurement
- V, I, Power & Energy
- Resistance Measurement
- Power Factor Measurement
- PMMC & Moving Iron
- Dynamometer Instruments
- Induction Energy Meters
- Wattmeters
Instrument Transformers
- CT & PT
- Ratio & Phase Angle Error
- Burden & Applications
Electronic & Digital Instruments
- Digital Voltmeters & Multimeters
- Oscilloscopes & CRO
- Digital Storage Oscilloscope
- Lissajous Figures
- Phase, Time & Frequency
- Frequency Counters
- Q-Meter
- Hall-Effect Sensors
Analog & Digital Electronics
Diode Circuits
- P-N Junction Diode
- Small-Signal Resistance
- Clipping & Clamping
- Rectifiers (HW, FW, Bridge)
- Filters & Ripple Factor
- Zener Regulator
Amplifiers & Feedback
- BJT & FET Biasing
- Small-Signal Equivalent Circuits
- Single-Stage Amplifiers
- Multistage Amplifiers
- Frequency Response
- Feedback & Barkhausen
- RC & LC Oscillators
Operational Amplifiers
- Ideal & Non-Ideal Op-Amp
- Op-Amp Non-Idealities
- Inverting & Non-Inverting
- Summing & Difference
- Integrator & Differentiator
- Comparator & Schmitt Trigger
- Active Filters (Sallen-Key)
- 555 Timer Applications
Digital Logic Circuits
- Logic Families (TTL, CMOS)
- Boolean Algebra & Gates
- K-Map Minimization
- Combinational Hazards
- MUX, DEMUX, Decoders
- Latches, Flip-Flops & Counters
- Race-Around & Master-Slave
- Ring & Johnson Counters
- Finite State Machines
- Timing Parameters
Data Conversion Circuits
- Sample & Hold
- A/D Converters (Flash, SAR)
- D/A Converters (R-2R)
- Resolution & Quantization Error
Power Electronics
Power Semiconductor Devices
- Thyristor V-I & Firing
- MOSFET & IGBT Characteristics
- Switching Characteristics
- Thyristor Commutation
- Freewheeling Diode
- Device Protection (Snubber)
DC-DC Converters
- Buck Converter
- Boost Converter
- Buck-Boost Converter
- Conduction Modes (CCM, DCM)
- Inductor & Capacitor Ripple
- Duty Ratio & Efficiency
- Cuk & SEPIC
AC-DC Converters
- Uncontrolled Rectifiers (1φ, 3φ)
- Line-Commutated Converters
- Firing, Extinction & Overlap Angles
- Semi & Full Converters (1φ)
- Controlled Rectifiers (3φ)
- Dual Converters
- Bidirectional VSC
- Output Voltage & Ripple
- Power & Distortion Factor
Inverters
- VSI (1φ, 3φ)
- Current Source Inverters
- 180° & 120° Conduction
- Sinusoidal PWM
- Square Wave Operation
- Harmonics in Inverters
- Voltage Control Methods
- Harmonic Elimination
Harmonics & AC-AC Converters
- Line Current Harmonics
- Total Harmonic Distortion
- Displacement & Distortion Factors
- AC Voltage Controllers
- Cycloconverters
- UPS & SMPS
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