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ELECTROMAGNETICS Catur Apriono Departement of Electrical Engineering Faculty of Engineering, Universitas Indonesia.

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Presentation on theme: "ELECTROMAGNETICS Catur Apriono Departement of Electrical Engineering Faculty of Engineering, Universitas Indonesia."— Presentation transcript:

1 ELECTROMAGNETICS Catur Apriono Departement of Electrical Engineering Faculty of Engineering, Universitas Indonesia

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 No. Hari / Tanggal Modul Kuliah 1. Rabu, 30 Maret 2011 Review pers maxwell 2.Jum’at, 1 April 2011 Plane Waves: Rabu, 6 April 2011 Plane waves: 5.5 – Jum’at, 8 April 2011 Transmission lines: Rabu, 13 April 2011 Transmission lines: Jum’at, 15 April 2011 Transmission lines: Rabu, 20 April 2011 Waveguide : Rabu, 27 April 2011 Waveguide : Jum’at, 29 April 2011 Waveguide : Rabu, 4 Mei 2011 Antena : Jum’at, 6 Mei 2011 EMI : Rabu, 11 Mei 2011 EMI : Jum’at, 13 Mei 2011 Review

4 Outlines  Wave Fundamentals  Maxwell Equations

5 Wave Fundamentals*

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7 Wave Fundamentals

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11 Maxwell Equations

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13 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

14 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

15 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

16 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

17 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

18 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 Ampere’s Law Gauss’ Law

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

20 Maxwell Equations

21 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. Turunkan keempat persamaan maxwell dari Bentuk Integral ke Bentuk differential

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