# GATE Syllabus for Electrical Engineering-(EE)

## GATE Syllabus for Electrical Engineering-(EE) | GATE Syllabus for EE

**The GATE Syllabus for Electrical Engineering-(EE) consists of:**

1 |
Engineering Mathematics |

2 |
Electricals Engineering |

### GATE Syllabus for Electrical Engineering-(EE) 2018

#### 1-ENGINEERING MATHEMATICS SYLLABUS:

**The Engineering Mathematics syllabus consists of:**

a |
Linear Algebra |

b |
Calculus |

c |
Differential Equations |

d |
Complex variables |

e |
Probability and Statistics |

f |
Numerical methods |

g |
Transform theory |

**(a)-LINEAR ALGEBRA:**

1 | Matrix Algebra |

2 | Systems of linear equations |

3 | Eigen values and Eigen vectors |

#### (b)-CALCULUS:

1 | Mean value theorems |

2 | Theorems of integral calculus |

3 | Evaluation of definite and improper integrals |

4 | Partial Derivatives |

5 | Maxima and minima |

6 | Multiple Fourier series integrals |

7 | Vector identitie |

8 | Directional derivatives |

9 | Line |

10 | Stoke |

11 | Surface and Volume integrals |

12 | Gauss and Green’s theorems |

#### (c)-DIFFERENTIAL EQUATIONS:

1 | First order equation (linear and nonlinear) |

2 | Higher order linear differential equations with constant coefficients |

3 | Method of variation of parameters |

4 | Cauchy’s and Euler’s equations |

5 | Initial and boundary value problems |

6 | PartialDifferential Equations |

7 | Method of separation of variables |

#### (d)-COMPLEX VARIABLES:

1 | Analytic functions |

2 | Cauchy’s integral theorem and integral formula |

3 | Taylor’s and Laurent’ series |

4 | Residue theorem |

5 | Solution integrals |

#### (e)-PROBABILITY AND STATISTICS:

1 | Sampling theorems |

2 | Conditional probability |

3 | Mean, median |

4 | Mode and standard deviation |

5 | Random variables |

6 | Discrete and continuous distributions |

7 | Poisson |

8 | Normal and Binomial distribution |

9 | Correlation and regression analysis |

#### (f)-NUMERICAL METHODS:

1 | Solutions of non-linear algebraic equation |

2 | Single and multi-step methods for differential equations |

#### (g)-TRANSFORM THEORY:

1 | Fourier transform |

2 | Laplace transform |

3 | Z-transform |

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### 2-ELECTRICAL ENGINEERING SYLLABUS:

**The Electricals Engineering syllabus consists of:**

a |
Electric Circuits |

b |
Electromagnetic Fields |

c |
Signal and Systems |

d |
Electrical Machines |

e |
Power Systems |

f |
Control Systems |

g |
Electrical and Electronic Measurements |

h |
Analog and Digital Electronics |

i |
Power Electronics |

(a)-ELECTRIC CIRCUITS:

1 | Network graph, KCL, KVL, Node and Mesh analysis |

2 | Transient response of dc and ac networks |

3 | Sinusoidal steady‐state analysis |

4 | Resonance, Passive filters |

5 | Ideal current and voltage sources |

6 | Thevenin’s theorem, Norton’s theorem |

7 | Superposition theorem |

8 | Maximum power transfer theorem |

9 | Two‐port networks |

10 | Three phase circuits |

11 | Power and power factor in ac circuits |

#### (b)-ELECTROMAGNETIC FIELDS:

1 | Coulomb’s Law |

2 | Electric Field Intensity |

3 | Electric Flux Density |

4 | Gauss’s Law |

5 | Divergence |

6 | Electric field and potential due to point |

7 | Line, plane and spherical charge distribution |

8 | Effect of dielectric medium |

9 | Capacitance of simple configurations |

10 | Biot‐Savart’s law |

11 | Ampere’s law, Curl, Faraday’s law |

12 | Lorentz force, Inductance |

13 | Magnetomotive forc |

14 | Reluctance, Magnetic circuits,Self |

15 | Mutual inductance of simple configurations |

#### (c)-SIGNALS AND SYSTEMS:

1 | Representation of continuous and discrete-time signals |

2 | Shifting and scaling operations |

3 | Linear, time-invariant and causal systems |

4 | Fourier series representation of continuous periodic signals |

5 | Sampling theorem |

6 | Fourier |

7 | Laplace and Z transforms |

#### (d)-ELECTRICAL MACHINES:

1 | Single phase transformer |

2 | Equivalent circuit |

3 | Phasor diagram |

4 | Open circuit and short circuit |

5 | Tests, regulation and efficiency |

6 | Three phase transformers |

7 | Connections, parallel operation |

8 | Auto‐transformer |

9 | Electromechanical energy conversion principles |

10 | DC machines |

11 | Separately excited |

12 | Series and shunt |

13 | Motoring and generating mode of operation and their characteristics |

14 | Starting and speed control of dc motors |

15 | Principle of operation |

16 | Types, performance |

17 | Torque-speed characteristic |

18 | No-load and blocked rotor tests |

19 | Equivalent circuit |

20 | Three phase induction motors |

21 | Starting and speed control |

22 | Operating principle of single phase induction motors |

23 | Synchronous machines |

24 | Cylindrical and salient pole machines |

25 | Performance, regulation and parallel operation of generators |

26 | Starting of synchronous motor, characteristics |

27 | Types of losses and efficiency calculations of electric machines |

#### (e)-POWER SYSTEMS:

1 | Power generation concepts |

2 | ac and dc transmission concepts |

3 | Models and performance of transmission lines and cables |

4 | Electric field distribution and insulators |

5 | Distribution systems |

6 | Per‐unit quantities |

7 | Bus admittance matrix |

8 | GaussSeidel and Newton-Raphson load flow methods |

9 | Voltage and Frequency control |

10 | Series and shunt compensation |

11 | Power factor correction |

12 | Symmetrical components |

13 | Symmetrical and unsymmetrical fault analysis |

14 | Principles of over‐current |

15 | Differential and distance protection |

16 | Circuit breakers |

17 | System stability concepts |

18 | Equal area criterion |

#### (f)-CONTROL SYSTEMS:

1 | Mathematical modeling and representation of systems |

2 | Feedback principle |

3 | Transfer function |

4 | Block diagrams and Signal flow graphs |

5 | Transient and Steady‐state analysis of linear time-invariant systems |

6 | Routh-Hurwitz and Nyquist criteria |

7 | Bode plots, Root loci |

8 | Stability analysis, Lag |

9 | Lead and Lead‐Lag compensators |

10 | P, PI and PID controllers |

11 | State space model |

12 | State transition matrix |

#### (g)-ELECTRICAL AND ELECTRONIC MEASUREMENTS:

1 | Bridges and Potentiometers |

2 | Measurement of voltage |

3 | Current, power, energy and power factor |

4 | Instrument Transformers |

5 | Digital voltmeters and multimeters |

6 | Phase, Time and Frequency measurement |

7 | Oscilloscopes, Error analysis |

#### (h)-ANALOG AND DIGITAL ELECTRONICS:

1 | Characteristics of diodes, BJT, MOSFET |

2 | Simple diode circuits |

3 | Clipping, clamping, rectifiers |

4 | Equivalent circuit and Frequency response |

5 | Amplifiers: Biasing |

6 | Oscillators and Feedback, amplifiers |

7 | Operational amplifiers |

8 | Characteristics and applications |

9 | Simple active filters, VCOs and Timers |

10 | Combinational and Sequential logic circuits |

11 | Multiplexer, Demultiplexer, Schmitt trigger |

12 | Sample and hold circuits |

13 | A/D and D/A converters |

14 | 8085Microprocessor |

15 | Architecture, Programming and Interfacing |

#### (i)-POWER ELECTRONICS:

1 | Characteristics of semiconductor power devices |

2 | Diode, Thyristor, Triac, GTO, MOSFET, IGBT |

3 | DC to DC conversion |

4 | Buck, Boost and Buck-Boost converters |

5 | Single and three phase configuration of uncontrolled rectifiers |

6 | Line-commutated thyristor-based converters |

7 | Bidirectional ac to dc voltage source converters |

8 | Issues of line current harmonics, Power factor |

9 | Distortion factor of ac to dc converters |

10 | Single phase and three phase inverters |

11 | Sinusoidal pulse width modulation |

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