Electrical Engineering

The Graduate Aptitude Test in Engineering (GATE) Electrical Engineering syllabus covers a wide range of topics related to electrical engineering and its applications. Below is a comprehensive list of topics typically included in the GATE Electrical Engineering syllabus:

1. Engineering Mathematics:

   • Linear Algebra: Vector spaces, matrices, determinants, systems of linear equations, eigenvalues, and eigenvectors.
   • Calculus: Limit, continuity, and differentiability, mean value theorem, maxima and minima, partial derivatives, definite and indefinite integrals, sequences and series, convergence tests.
   • Differential Equations: First-order equations, linear and nonlinear second-order differential equations, Laplace transforms, Fourier series and transforms, Z-transforms.
   • Complex Variables: Analytic functions, Cauchy’s integral theorem, Taylor and Laurent series, residue theorem.

2. Electric Circuits:

   • Network graph, KCL, KVL, node and mesh analysis, transient response of DC and AC networks, sinusoidal steady-state analysis, resonance, two-port networks, network theorems, coupled circuits.

3. Electromagnetic Fields:

   • Gauss’s Law, Ampere’s Law, Faraday’s Law, Maxwell’s equations, wave equations, Poynting vector, electrostatics and magnetostatics, boundary conditions, dielectrics, and conductors.

4. Signals and Systems:

   • Continuous-time and discrete-time signals, LTI systems, convolution, Fourier series, Fourier transform, Laplace transform, Z-transform, state-space analysis.

5. Electrical Machines:

   • Single-phase transformers, three-phase transformers, DC machines, induction machines, synchronous machines, motor drives, and power electronics.

6. Power Systems:

   • Generation, transmission, and distribution of electrical power, economic operation of power systems, power system stability, protection, and control.

7. Control Systems:

   • Mathematical modeling and representation of systems, feedback control, time and frequency domain analysis, stability analysis, PID controllers, state-space analysis.

8. Analog and Digital Electronics:

   • Semiconductor physics, diodes, BJTs, MOSFETs, amplifiers, operational amplifiers, digital logic gates, combinational and sequential circuits, A/D and D/A converters, microprocessors, microcontrollers.

9. Measurements and Instrumentation:

   • Units and standards, error analysis, measurement of voltage, current, power, energy, resistance, inductance, capacitance, bridges, transducers, electronic instruments.

10. Power Electronics and Drives:

    • Power semiconductor devices, diode rectifiers, thyristor-based converters, inverters, choppers, PWM techniques, AC and DC drives, motor control.