| Topic |
Sub-topic |
1. Vector and differential analysis of fields
|
1.1 Scalar and vector fields
1.2 Systems of coordinates in space
1.3 Vector Algebra
1.4 Integral operators
1.5 Differential operators
1.6 Properties of operators |
2. Electrostatics
|
2.1 Electric charge
2.2 Electric field and its properties
2.3 Electric potential
2.4 Electric permitivity
2.5 Gauss law
2.6 Equations of Poisson and Laplace. Capacitance
|
3. Magnetostatics
|
3.1 Electric current
3.2 Magnetic field and its properties
3.3 Magnetic permeability
3.4 Ampere's Law
3.5 Self-induction |
4. Maxwell model
|
4.1. Maxwell's equations in integral form
4.2. Differential form of Maxwell's equations
4.3. Boundary conditions
4.4. Harmonic time variation and phasor notation
4.5. Energy and power density
|
5. Fundamentals and characteristics of waves
|
5.1 Wave equation in the phasor domain
5.2 Solutions in rectangular coordinates
5.3 Wave parameters: frequency, wavelength, propagation constant and impedance of the medium.
5.4 Poynting vector and average power density
5.5 Progressive waves on lossy and lossless media
5.6 Polarization |
6. Waves in the presence of obstacles
|
6.1 Wave incidence on conductors
6.2 Incidence on discontinuity between two media
6.3 Incident, reflected and transmitted wave
6.4 Standing wave diagram
6.5 Power transmission |
| P1. Vector algebra and coordinate systems. |
Review of operations with vectors in space. Vector representation in the Cartesian, cylindrical and spherical systems. Differential elements of length, area and volume in the three systems. |
| P2. Electrostatics-I. |
Integral of circulation of the electric field. The electric dipole. Linear, surface and volume densities of charge. Potential and electric field of charge distributions. Principle of superposition of sources Far field. |
| P3. Electrostatics-II. |
Electric displacement vector flow. Application of Gauss's integral and differential theorem. Capacitors. Image theory. |
| P4. Magnetostatics. |
Integration of surface and volumetric current densities. Magnetic field of current distributions. Principle of superposition of sources. Applications of Ampere's Law integral and differential. Self-induction Imaging theory. |
| P5. Maxwell's model. |
Application of Faraday's and Ampere-Maxwell's laws. Phasor and time domain representation of electromagnetic fields. Application of Maxwell's laws. |
| P6. Fundamentals and characteristics of waves. |
Plane wave propagation. Wave parameters. Determination of wave polarisation. Phasor and time domain representation of plane waves. |
| P7. Waves in the presence of obstacles |
Incidence of a wave on a metallic plane. Incidence of a plane wave on a discontinuity between two dielectric media. Standing wave. |
