# IES + GATE: Electrical Engineering Test Series Syllabus

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## A. Topic-wise Tests

The subjects which are common in GATE and IES(ESE) or The subjects having large topics are selected for Topic-wise Test as well as Subject-Wise Test.

Each test carries 20 Marks and consists of 13 Questions. The duration of the test will be 45 Minutes.

 Type of question Number of question 1 Mark Question 6 2 Marks Question 7 Total Number of Questions 13

### Subject: 1. Electric Circuits

 Test No. Test Syllabus 01. KCL, KVL, Node and Mesh analysis, Thevenin’s theorem, Norton’s theorem, Superposition theorem, Maximum power transfer theorem. 02. Network graph, Transient response of DC and AC networks, Sinusoidal steady‐state analysis, Resonance, Passive filters, Ideal current and voltage sources, Two‐port networks, Three phase circuits, Power and power factor in AC circuits.

### Subject: 2. Electromagnetic Fields

 Subject Test Syllabus 03. Coulomb’s Law, Electric Field Intensity, Electric Flux Density, Gauss’s Law, Divergence, Electric field and potential due to point, line, plane and spherical charge distributions, Effect of dielectric medium, Capacitance of simple configurations 04. Biot‐Savart’s law, Ampere’s law, Curl, Faraday’s law, Lorentz force, Inductance, Magnetomotive force, Reluctance, Magnetic circuits, Self and Mutual inductance of simple configurations.

### Subject: 3. Signals and Systems

 Subject Test Syllabus 05. Representation of continuous and discrete‐time signals, Shifting and scaling operations, Linear Time-Invariant and Causal systems, Fourier series representation of continuous periodic signals 06. Sampling theorem, Applications of Fourier Transform, Laplace Transform and z-Transform.

### Subject: 4. Electrical Machines

 Subject Test Syllabus 07. Single phase transformer: equivalent circuit, phasor diagram, open circuit and short circuit tests, regulation and efficiency; Three phase transformers: connections, parallel operation; Auto‐transformer, Three phase induction motors: principle of operation, types, performance, torque-speed characteristics, no-load and blocked rotor tests, equivalent circuit, starting and speed control; Operating principle of single phase induction motors 08. Electromechanical energy conversion principles, DC machines: separately excited, series and shunt, motoring and generating mode of operation and their characteristics, starting and speed control of dc motors, Synchronous machines: cylindrical and salient pole machines, performance, regulation and parallel operation of generators, starting of synchronous motor, characteristics; Types of losses and efficiency calculations of electric machines.

### Subject: 5. Power Systems

 Test No. Test Syllabus 09. Power generation concepts, Per‐unit quantities, Bus admittance matrix, Gauss-Seidel and Newton-Raphson load flow methods, Voltage and Frequency control, Power factor correction, System stability concepts, Equal area criterion. 10. Models and performance of transmission lines and cables, Series and shunt compensation, Electric field distribution and insulators, Distribution systems, ac and dc transmission concepts, Symmetrical components, Symmetrical and unsymmetrical fault analysis, Principles of over‐current, differential and distance protection; Circuit breakers.

### Subject: 6. Control Systems

 Test No. Test Syllabus 11. Feedback principle, transfer function, Block diagrams and Signal flow graphs, Transient and Steady‐state analysis of linear time-invariant systems, Routh-Hurwitz, Root loci, Stability analysis. 12. Mathematical modeling and representation of systems, Nyquist criteria, Bode plots, Lag, Lead and Lead‐Lag compensators; P, PI and PID controllers; State space model, State transition matrix.

### Subject: 7. Electrical and Electronic Measurement

 Test No. Test Syllabus 13. Bridges and Potentiometers, Measurement of voltage, current, power, energy and power factor; Instrument transformers, Error analysis. 14. Digital voltmeters and multimeters, Phase, Time and Frequency measurement; Oscilloscopes

### Subject: 8. Analog and Digital Electronics

 Test No. Test Syllabus 15. Characteristics of diodes, BJT, MOSFET; Simple diode circuits: clipping, clamping, rectifiers; Amplifiers: Biasing, Equivalent circuit and Frequency response; Oscillators and Feedback amplifiers; Operational amplifiers: Characteristics and applications; Simple active filters, VCOs and Timers 16. Combinational and Sequential logic circuits, Multiplexer, Demultiplexer, Schmitt trigger, Sample and hold circuits, A/D and D/A converters, 8085Microprocessor: Architecture, Programming and Interfacing.

### Subject: 9. Power Electronics

 Test No. Test Syllabus 17. Characteristics of semiconductor power devices: Diode, Thyristor, Triac, GTO, MOSFET, IGBT, Single and three phase configuration of uncontrolled rectifiers, Line commutated thyristor-based converters, Issues of line current harmonics, Power factor, Distortion factor of ac to dc converters 18. DC to DC conversion: Buck, Boost and Buck-Boost converters; Single and three phase configuration of uncontrolled rectifiers, Bidirectional ac to dc voltage source converters, Single phase and three phase inverters, Sinusoidal pulse width modulation.

### Subject: 10. Engineering Mathematics

 Test No. Test Syllabus 19. Linear Algebra: Vector space, basis, linear dependence and independence, matrix algebra, eigen-values and eigen-vectors, rank, solution of linear equations – existence and uniqueness. Calculus: Mean value theorems, theorems of integral calculus, evaluation of definite and improper integrals, partial derivatives, maxima and minima, multiple integrals, line, surface and volume integrals, Taylor series. Differential Equations: First order equations (linear and nonlinear), higher order linear differential equations, Cauchy’s and Euler’s equations, methods of solution using variation of parameters, complementary function and particular integral, partial differential equations, variable separable method, initial and boundary value problems. 20. Vector Analysis: Vectors in plane and space, vector operations, gradient, divergence and curl, Gauss’s, Green’s and Stoke’s theorems. Complex Analysis: Analytic functions, Cauchy’s integral theorem, Cauchy’s integral formula; Taylor’s and Laurent’s series, residue theorem. Numerical Methods: Solution of nonlinear equations, single and multi-step methods for differential equations, convergence criteria. Probability and Statistics: Mean, median, mode and standard deviation; combinatorial probability, probability distribution functions – binomial, Poisson, exponential and normal; Joint and conditional probability; Correlation and regression analysis.

### Subject: 11. General Aptitude

 Test No. Test Syllabus 21. Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction. 22. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.

## B. Subjectwise Test

Each test carries 50 Marks and consists of 30 Questions. The duration of the test will be 90 Minutes.

 Type of question Number of question 1 Mark Question 10 2 Marks Question 20 Total Number of Questions 30
 Test No. Test subject 23. Electric Circuits 24. Electromagnetic Fields 25. Signals and Systems 26. Electrical Machines 27. Power Systems 28. Control Systems 29. Electrical and Electronic Measurements 30. Analog and Digital Electronics 31. Power Electronics 32. Engineering Mathematics 33. General Aptitude 34. Electrical Materials 35. Computer Fundamentals 36. Basic Electronics Engineering 37. General Studies and Engineering Aptitude

## C. Full Test – GATE & IES (ESE) Grand Test

### 1. Full ESE(IES) Test

Each test carries 300 Marks and consists of 150 Questions. The duration of the test will be 180 Minutes.

 Test No. Test subject 38. ESE – 1 39. ESE – 2 40. ESE – 3 41. ESE – 4 42. ESE – 5

### 2. Full GATE Test

Each test carries 100 Marks and consists of 65 Questions. The duration of the test will be 180 Minutes.

 Test No. Test subject 43. GATE – 1 44. GATE – 2 45. GATE – 3 46. GATE – 4 47. GATE – 5 48. GATE – 6 49. GATE – 7 50. GATE – 8 51. GATE – 9 52. GATE – 10