APH344 - UNPAR Institutional Repository

APH344
TEORI ELEKTROMAGNETIK 1
Oleh
Paulus Cahyono Tjiang
Program Studi Fisika
Fakultas Teknologi Informasi dan Sains
Program Studi Fisika
Fakultas Teknologi Informasi dan Sains
Universitas Katolik Parahyangan
2012
DAFTAR lSI
BABI
ANALISA VEKTOR ............................................................................................................... 6
Aljabar Vektor ................................................................................................................ 6
2
3
4
5
6
1.1
Operasi Vektor ......................................................................................................... 6
1.2
Aljabar Vektor: dalam Ben/uk Kompollen. ............................................................. 7
1.3
Hasil Perkalian 3 Vek/or ......................................................................................... 8
1.4
Posisi dall Perpilldahall ......................... .
1.5
Trallsformasi Vek/or ............................................................................................... 9
.......................................................... 8
Kalkulus Diferensial ..................................................................................................... 10
2.1
Tunlllan Biasa ............................................................................................ ........... 10
2.2
Gradien .................................................................................................................. 10
2.3
Operator 17............................................................................................................. 11
2.4
Divergensi..................... ......................................................................................... 11
2.5
Curl ........................................................................................................................ 11
2.6
Aturan-atllran Perkalian ....................................................................................... 12
2.7
Tunlllan Kedua ................ ...................................................................................... 13
Integral Calculus ........................................................................................................... 13
3.1
Integral Garis. Permukaan dan Volume ............................................................... 13
3.2
Teorema Dasar Kalkallls ..... .................................................................................. 16
3.3
Teorema Dasar Gradien ....................................................................................... 16
3.4
Teorema Dasar Divergensi .................................................................................. 16
3.5
Teorema Dllsllr Curl.. ............ .............................................................................. 17
3.6
Integrasi per bagian ............................................................................................. 18
Koordinat Curvilinear ................................................................................................... 18
4.1
Koordinat Bola ...................... ............................................................................. 18
4.2
Koordinat Silinder ................................................................................................ 19
Fllngsi Delta Dirac ........................................................................................................ 20
5.1
Divergensi dari rr2 .............................................................................................. 20
5.2
FlIngsi Delta Dirac I-D ....................................................................................... 20
5.3
FlIngsi Delta Dirac .'I-D .................. ...................................................................... 21
Teori Medan Vektor.. .................................................................................................... 22
1
6.1
Teorema Helmholtz....
6.2
Potensial .... ......................................................................................................... 22
..................................................................................... 22
BAB II
ELEKTROST ATIK ............................................................................................................... 23
Medan Listrik ................................................................................................................ 23
1.1
Pendahl/luan ................ .
1.2
Hukum Coulomb ............ .
1.3
Medon Listrik................ ............ .
1.4
Dislribusi Muatall Kontinu .......... ......................................................................... 24
2
.......................................................................... 23
..................................................................... 23
Divergensi dan Curl pada Medan Elektrostatik ............................................................ 25
2.1
Garis medon, fluks dan Hukum Gauss .................................................................. 25
2.2
Divergensi dari E .................................................................................................. 26
2.3
Penggunaan Hukum Gauss ................................................................................... 27
2.4
Curl E .................................................................................................................... 28
3
Potensial Listrik ............................................................................................................ 29
3.1
Pendahuluan .......................................................................................................... 29
3.2
Beberapa Pernyataan ten tang Potensial ........................................................... .... 29
3.3
Persamaan Poisson dan Persamaan Laplace ....................................................... 30
3.4
Potensial dari Distribusi Muatall Lokal.. .............................................................. 31
3.5
Kesimpulan : Syarat Balas Elektrostatik ............................................................... 32
4
5
................................................................................ 23
Energi dan kerja pada elektrostatik ............................................................................... 33
4.1
Kerja unluk menggerakan mualan ........................................................................ 33
4.2
Energi dan Dislribusi Muolon Titik. ...................................................................... 33
4.3
Energi dari Dislribusi Mualan Konlinu ................................................................ 34
Konduktor ..................................................................................................................... 35
5.1
Pendahuluan .......................................................................................................... 35
5.2
Mualall Induksi ...... ............................................................................................... 35
5.3
Mualan Pemlukaan dan Gaya pada Kanduklar.................................................... 35
5.4
Kapasitor ............................................................................................................... 36
BAB3
TEKNIK-TEKNIK KHUSUS ............................................................................................... 39
2
Persamaan Laplace........................................................................................................ 39
1.1
Pendahuluall ........... .............................................................................................. 39
1.2
Persamaan Lapalace dalam Satu Dimensi ............................................................ 39
1.3
Persamaan Laplace dalam Dua Dimensi .............................................................. 40
1.4
Persamaan Laplace dalam riga Dimensi ...................................................... ....... 40
1.5
PermasalaluIIl Syarat Batas dan Toerema Ketunggalan ..................................... .41
1.6
Konduktor dan Teorema Ketunggalan Kedua ...................................................... 41
2
Metoda Bayangan ......................................................................................................... 41
2.1
Permasalahan Bayangan Klasik ........................................................................... 41
2.2
Mllatan Permukaan 1nduksi. .................................................................................. 43
2.3
Gaya dan Energi.................................................................................................... 43
2.4
Pel7nasalahan Bayangan yang Lain ...................................................................... 44
3
Separasi Variabel .......................................................................................................... 45
3.1
Koordinat Cartesian ......... ..................................................................................... 46
3.2
Koordinat Bola ...................................................................................................... 54
BAB4
MEDAN LISTRIK DALAM BAHAN ................................................................................. 60
1
2
3
4
Polarisasi ....................................................................................................................... 60
1.1
Dielektrik .......................................................................................................... ..... 60
1.2
Dipol 1nduk'i ................................................................................... ...................... 60
1.3
Molekul Polar ........................................................................................................ 61
1.4
Polansasi ............................................................................................................... 61
Medan dari Benda yang Terpolarisasi .......................................................................... 62
2.1
Muatan yang Tenkat ............................................................................................. 62
2.2
1nterpretasi Flsis dari Mualan Tenkat .................................................................. 63
2.3
Medan di dalam Dielektrik ............................................ ........................................ 65
Perpindahan Ustrik ....................................................................................................... 66
3.1
Ilukum Gauss pada Dielektrik............................................................................... 66
3.2
Perbedaan E dan D ............................................................................................... 67
3.3
Permaslahan Syarat Batas .................................................................................... 67
Die!ektrik Linier. ........................................................................................................... 68
4.1
Suseplibilitas, Permitivitas dan Konstanta Dielektrik. .......................................... 68
3