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Electromagnetics

Electromagnetics. Catur Apriono Departement of Electrical Engineering Faculty of Engineering, Universitas Indonesia. References. Stuart M. Wentworth,”Fundamentals of Electromagnetics with Engineering Applications” John Wiley

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Electromagnetics

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  1. Electromagnetics Catur Apriono Departement of Electrical Engineering Faculty of Engineering, UniversitasIndonesia

  2. References • Stuart M. Wentworth,”Fundamentals of Electromagnetics with Engineering Applications” John Wiley • Fawwaz T Ulaby,”Fundamental of Applied Electromagnetics” • William Hayt, Jr. “Engineering Electromagnetics”

  3. Outlines • Wave Fundamentals • Maxwell Equations

  4. Wave Fundamentals*

  5. Wave Fundamentals*

  6. Wave Fundamentals

  7. Wave Fundamentals

  8. Wave Fundamentals

  9. Wave Fundamentals

  10. Maxwell Equations

  11. Maxwell Equations

  12. Four Laws Maxwell’s equations in integral form are a set of FOUR LAWS resulting from several experimental findings and a purely mathematical contribution. • Faraday’s Law • Ampere’s Circuital Law • Gauss’s Law for the Electrical Field • Gauss’s Law for the Magnetic Field

  13. Faraday’s Law The electromotive force around a closed path is equal to the time rate of change of the magnetic flux enclosed by the path

  14. Ampere’s Circuital Law The magnetomotive force around a closed path is equal to the algebraic sum of the current due to the flow of charges and the displacement current bounded by the path Displacement current introduced by Maxwell Current due to flow of free charges

  15. Gauss’ Law for Electric Field The displacement flux emanating from a closed surface is equal to the charge contained within the volume. The volume bounded by the surface S, Free charge Charge density

  16. Gauss’ Law for Magnetic Field The magnetic flux emanating from a closed surface is equal to zero Note that Gauss’ Law for magnetic field is consistent with Faraday’s Law

  17. Law of Conservation of Charge The net current due to flow of charge emanating from a closed surface is equal to the time rate of decreases of the charge within the volume bounded by the surface Gauss’ Law Ampere’s Law

  18. Maxwell’s Equations in Integral Form Faraday’s Law Ampere’s Law Gauss’ Law Gauss’ Law Law of Conservation of Charge

  19. Maxwell Equations

  20. Latihan 1. P4.5: A propagating electric field is given by (a) Determine the attenuation constant, the wave frequency, the wavelength, the propagation velocity and the phase shift. (b) How far must the wave travel before its amplitude is reduced to 1.0 V/m? 2. TurunkankeempatpersamaanmaxwelldariBentuk Integral keBentuk differential

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