• Engineering Electromagnetics

    •  Course No. 25-733 for undergraduate student
    Time : Sundays & Tuesdays 7:30 - 9:00 AM
    Room : Bargh #5
    Mid-Term Exam :
    Final Exam : Date 1399/04/02 Time :15:30

    Homeworks (take home):
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      1. Homework #1 (delivery 10-12-1398)

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    Sylabuses :
    1. Scalar and vector fields
      2.
      1. Coordinate systems
      2. Integrals containing vector fields
      3. Gradient of a scalar
      4. Divergence of a vector
      5. Divergence theorem
      6. Curl of a vector
      7. Stokes’ theorem
      8. Zero identities
      9. Helmholtz theorem

    2. Sources of electromagnetic fields
      1. Charge density (volume, surface, line)
      2. Current density (volume, surface)
      3. Equation of continuity in integral form
      4. Equation of continuity in differential form
      5. Steady currents and charges (introduction to electrostatics and magnetostatics)
      6. Definition of electromagnetic forces

    3. Electrostatics (free space)
      4.
      1. Field equations in integral form
      2. Symmetry in Electrostatics (Examples of Gauss's law)
      3. Derivation of Coulomb law
      4. Equations in differential form
      5. Electric potential
      6. Physical meaning, ambiguity of reference, boundary conditions at infinity for sources of finite volume
      7. Poisson equation
      8. Superposition of solutions
      9. Green’s function (Coulomb potential)
      10. Potential of an arbitrary distribution of charges
      11. Electric field of an arbitrary distribution of charges

    4. Magnetostatics in free space
      1. Equations in integral form
      2. Symmetry in Magnetostatics (examples of Amperes Law)
      3. Equations in differential form
      4. Vector potential
      5. Ambiguity of definition (gauge)
      6. Poisson equation
      7. Vector potential of an arbitrary distribution of current
      8. Magnetic field of an arbitrary distribution of current
      9. Biot-Savart law for current filaments

    5. Time-varying fields (free space)
      6.
      1. Maxwell equations in integral form
      2. Faraday’s law
      3. Ampere’s law
      4. Maxwell equations in differential form
      5. Solution in source-free regions: Plane waves (1D space-time)
      6. Electromagnetic energy and Poynting vector (using mechanical power transferred to charged particles)
      7. Electrostatic and Magnetostatic
      8. Phasors and time-harmonic fields

    6. Transmission Lines (time domain)
      7.
      1. Telegraphers equation
      2. Analogy with Plane Wave
      3. Reflections from short/open/resistive in time domain

    7. Macroscopic equations in matter
      8.  - A remark about discrete nature of charges, averaging, and the emergence of continuous charge and current densities in macroscopic media
      1. Conductors
        2.
        1. Ohm’s law and conductivity
        2. Charge and current distribution in conductors
        3. Perfect electric conductor
      2. Dielectrics
        3.
        1. Electric dipole
        2. Averaging and the concept of P(static derivation)
        3. Equivalent charges
        4. From E to D
        5. Boundary conditions
        6. Linear media and dielectric constant
      3. Magnetic media
        4.
        1. Magnetic dipole
        2. Averaging and the concept of M (static derivation)
        3. Equivalent currents
        4. From B to H
        5. Boundary conditions
        6. Linear media and permeability
      4. Macroscopic Maxwell equations in linear media in time domain
        5.

    References :
    1. Fields and Waves in Communication Electronics, 3rd Edition by Simon Ramo, by John R. Whinnery, Theodore Van Duzer
    2. Electromagnetics With Application 5th Edition by Kraus
    3. Classical Electrodynamics 3rd Edition by John David Jackson
    4. Field and Wave Electromagnetics, 2nd Edition by David K. Cheng
    5. Introduction to Electrodynamics 4th Edition by David J. Griffiths
    6. Fundamentals of Applied Electromagnetics,7th Edition, by Fawwaz T. Ulaby & Umberto Ravaioli
    7. Elements of Engineering Electromagnetics 6th Edition by Nannapaneni Narayana Rao