Preview

Electromagnetic Field Theory Lecture Notes

Good Essays
Open Document
Open Document
5310 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Electromagnetic Field Theory Lecture Notes
REFERENCE BOOKS FOR ELECTROMAGNETIC WAVE THEORY AND MICROWAVES.
1) D.CHENG, “ FIELD & WAVE ELECTROMAGNETICS” ADDISON-WESLEY

2) UMRAN S. INAN, AZIZ S. INAN , “ENGINEERING ELECTROMAGNETICS” , ADDISON-WESLEY 1999

3) R.COLLINS, “FOUNDATIONS OF MICROWAVE ENGINEERING” Mc GRAW-HILL 1992

4) D.POZAAR, “MICROWAVE ENGINEERING” ADDISON-WESLEY 1990

FOUR FUNDAMENTAL ELECTROMAGNETIC FUNCTIONS


r E r D

r ( r , t ) - Electric Field Intensity



(V/m)



r (r , t ) - Electric Flux Density (Displacement vector) – (C/m2)



r H (rr, t ) - Magnetic Field Intensity



(A/m)



r r B (r , t ) - Magnetic Flux Density r Jc



(Wb/m2)

THREE TYPES OF ELECTRIC CURRENTS

r (r , t ) - Conduction Current Density – (A/m2)

r Jc=



r r J u (r , t ) - Convection Current Density – (A/m2)

σ = Conductivity (S/m)

r σE

r Ju=

r ρu

r ρ = Free Electric Charge Density – (C/m3), u = Velocity Vector – (m/s) •

r J

d

r (r , t ) - Displacement Current Density – (A/m2)

r r ∂D Jd = ∂t
MAXWELL’S EQUATIONS These four fundamental equations of electromagnetics on the basis of three separate experimentally established facts, namely, Coulomb’s law, Ampere’s law (or the Biot-Savart law), Faraday’s law, and the principle of conservation of electric charge. The validity of Maxwell’s equations is based on their consistency with all of our experimental knowledge to date concerning electromagnetic phenomena. The physical meaning of the equations is better perceived in the context of their integral forms, which are listed below together with their differential counterparts: 1. Faraday’s law is based on the experimental fact that time-changing magnetic flux induces electromotive force:

r r r r E . dl = − ∫ ∂ B . d s ∫C s ∂t r r ∇ × E = − ∂B

∂t

where the contour C is that which encloses the surface S, and where the direction of the line integration over the contour C (i.e., dl) must be consistent with the direction of the

You May Also Find These Documents Helpful

  • Better Essays

    The invention of electricity has benefited mankind in several aspects of life ever since the 1800s. Over the course of the past two centuries, scientists have been developing theories that serve as the backbone for various devices today. Such intellectuals have been attempting to understand the credibility and applicability of the already existent theories, such as electricity and magnetism. In addition, they have introduced new concepts by either creating them from scratch, or combining other theories. Electricity, for instance, is a form of energy fueled by the movement of charged particles, called electrons. It is an electrical current if these electrons flow from high to low voltage. If the charged…

    • 1085 Words
    • 5 Pages
    Better Essays
  • Satisfactory Essays

    2. Can you make the electromagnet pick up all of the iron fillings? What conditions did you need?…

    • 279 Words
    • 2 Pages
    Satisfactory Essays
  • Powerful Essays

    Ap Physics B and C Study Guide

    • 51117 Words
    • 205 Pages

    3-14. 3-15. 3-16. 3-17. 3-18. 3-19. 3-20. 3-21. 3-22. 3-23. Electric Charge, Force, and Fields Gauss’s Law Electric Potential Capacitance Current, Resistance, and DC Circuits RC circuits Magnetic Fields Ampère’s Law Faraday’s Law Inductance, RL, and LC Circuits B and C course C course only B and C course B and C course B and C course C course only B and C course C course only B and C course C course only…

    • 51117 Words
    • 205 Pages
    Powerful Essays
  • Better Essays

    Maxwell Case Revised

    • 1794 Words
    • 5 Pages

    1) Anna Thomas committed a fraudulent act by making personal charges and cash withdrawals on Rusher Automotive’s credit card. The accounting profession believes there are three conditions necessary for fraudulent behavior. (See Statement on Auditing Standards No. 99, Consideration of Fraud in a Financial Statement Audit. For additional explanation, you may want to review Buckhoff [2001].)…

    • 1794 Words
    • 5 Pages
    Better Essays
  • Good Essays

    Emf Research Paper

    • 548 Words
    • 3 Pages

    The electromagnetic field (EMF) has been a natural part of the earth ever since the beginning of the universe and extends throughout all of space. It is a fundamental form of nature. The most familiar form of the electromagnetic field, to us, is found in sunlight. This electromagnetic field is actually the interaction of both an electric field, which is composed of stationary charges, and the magnetic field which consists of wave like currents.…

    • 548 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Coulomb's Law

    • 317 Words
    • 2 Pages

    The magnitude of the force of attraction or repulsion between two electric charges at rest was studied by Charles Coulomb. He formulated a law, known as "COULOMB'S LAW".…

    • 317 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Ampere's Law

    • 320 Words
    • 2 Pages

    This experiment clearly demonstrated how Ampere’s Law relates the magnetic field to the current using the relationships stated in the formula B= μ0I2πr. This relationship allowed to the experiment to calculate the value of permeability of free space in order to verify the relationship that is outlined in Ampere’s Law. This lab also allowed us to measure magnetic field strength as a function of the distance measured perpendicularly from a long current-carrying wire.…

    • 320 Words
    • 2 Pages
    Satisfactory Essays
  • Better Essays

    Ohm's Law

    • 1968 Words
    • 8 Pages

    where J is the current density at a given location in a resistive material, E is the electric field at that location, and σ is a material dependent parameter called the conductivity. This reformulation of Ohm's law is due to Gustav Kirchhoff.…

    • 1968 Words
    • 8 Pages
    Better Essays
  • Satisfactory Essays

    Mastering Physics #14

    • 4336 Words
    • 18 Pages

    Note: You will receive no credit for late submissions. To learn more, read your instructor's Grading Policy [Switch to Standard Assignment View]…

    • 4336 Words
    • 18 Pages
    Satisfactory Essays
  • Powerful Essays

    Time Travel

    • 2094 Words
    • 9 Pages

    Cutnell, J.D. & Johnson, K.W. (2006 ) . Essentials of Physics (1st ed. ). USA: John Wiley & Sons, Inc.…

    • 2094 Words
    • 9 Pages
    Powerful Essays
  • Good Essays

    Secret of Magnetism

    • 1239 Words
    • 5 Pages

    Electromagnetism is the branch of physics that studies the relationship between electricity and magnetism. Electromagnetism is based on the fact that (1) an electric current or a charging electric field produces a magnetic field or (2) a charging magnetic field produces an electric field.…

    • 1239 Words
    • 5 Pages
    Good Essays
  • Good Essays

    Electric Fields

    • 549 Words
    • 3 Pages

    An electric field surrounds all electrically charged particles. With electric fields, one can determine the effects of all of the charges in the environment. In this lab entitled “Electric Fields and Potential Mapping”, the main goal obtained was to examine and deliberate the effects of an electric field and electric potential. Examples of some effects of electric fields include resultant forces, changes in motion, changes in current flow, etc. By using conductive paper connected to a power supply and a voltage probe, an observation of the effects of an electric field could be carried out in a more tangible setting.…

    • 549 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    James Clerk Maxwell

    • 472 Words
    • 2 Pages

    James Clerk Maxwell was a Scottish theoretical physicist and mathematician. His most important achievement was classical electromagnetic theory, synthesizing all previously unrelated observations, experiments and equations of electricity, magnetism and even optics into a consistent theory.[1] His set of equations—Maxwell's equations—demonstrated that electricity, magnetism and even light are all manifestations of the same phenomenon: the electromagnetic field. From that moment on, all other classic laws or equations of these disciplines became simplified cases of Maxwell's equations. Maxwell's work in electromagnetism has been called the "second great unification in physics",[2] after the first one carried out by Isaac Newton.…

    • 472 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Whenever the path L is a closed path, the resulting line integral of A is defined as the circulation of A around L and written as…

    • 506 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Theory of Bending Moment

    • 1685 Words
    • 7 Pages

    Stress _ in _ the _ layer _ EF E= Strain _ in _ the _ layer _ EF σ E=…

    • 1685 Words
    • 7 Pages
    Good Essays

Related Topics