kelompok 3 - chapter 10 - potential and fields
DESCRIPTION
TMETRANSCRIPT
![Page 1: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/1.jpg)
Potential and Fields
CHAPTER 10
KELOMPOK 3
Aal Awaliah (3215126536) Diajeng Ramadhan (3215126545)Fierda Zahara Jannah (3215126550)Frasetia Budy (3215126552)
![Page 2: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/2.jpg)
Empat persamaan Maxwell :
•( Gaus’s Law )• ( Farraday’s Law )
• (Ampere’s Laws)
![Page 3: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/3.jpg)
Scalar dan Vector Potential
Vector Potensial = -
x ( E +
E + =
Gradien Scalar E= -
Medan Magnet
Medan Listrik
![Page 4: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/4.jpg)
Contoh Soal
Jawab :
Find the elctric and magnetc field !
![Page 5: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/5.jpg)
TRANSFORMASI GAUGE
•
A’= A + dan V’ = V +
Sehingga :
Dengan mengubah V dan A dapat disebut juga transformasi gauge
![Page 6: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/6.jpg)
COLOUMB GAUGE DAN LORENTSZ GAUGE
Lorentz Gauge The differential equation for A The differential equation for V=-
ColoumbGauge , the differential eq for A
D’Alembertian =-
![Page 7: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/7.jpg)
Continuous Distributions
Persamaan Poisson : ,
![Page 8: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/8.jpg)
![Page 9: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/9.jpg)
Laplacian , titikkrusial r ada di 2 tempatyaitu:
ExplisitdanImplisit
and
Jadi
![Page 10: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/10.jpg)
Divergen
Dengandan
Jadi
![Page 11: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/11.jpg)
Jefimenko’s equations
, Determine
Gradient V Eq 10.22 derivative A is
![Page 12: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/12.jpg)
Potensial Lienard – Wiechert
• untuk menghitung retarded potensial, V (r , t) dan A (r , t) dari titik muatan q yang bergerak pada lintasan tertentu
w (t) ≡ posisi q pada waktu t
![Page 13: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/13.jpg)
![Page 14: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/14.jpg)
• Dalam elektrodinamika Maxwell, sebuah muatan titik harus dianggap sebagai batas muatan diperpanjang, ketika ukuran menuju ke nol. Dan untuk partikel diperpanjang, tidak peduli seberapa kecil, keterbelakangan (retarded) dalam persamaan 10.36 melalui faktor
•
• Pembuktian pada kasus kereta yang datang
![Page 15: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/15.jpg)
![Page 16: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/16.jpg)
•persamaan 10.39 dan 10.40 dikenal dengan potensial Lienard - Wiechert untuk muatan titik bergerak.
![Page 17: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/17.jpg)
The Fields Of Moving Point Charge
MenggunakanpotensialLiénard-Wiechert:
PersamaanmedanlistrikE danmedan magnet B:
![Page 18: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/18.jpg)
Electric Field (E)
BentukPertama:
Karena dan Maka
![Page 19: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/19.jpg)
Karena
Maka
BentukKedua:
![Page 20: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/20.jpg)
Misalkanvektor
Akan didapat
![Page 21: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/21.jpg)
Magnetic Field (B)
Karena
Maka
![Page 22: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/22.jpg)
medanmagnet darimuatantitikselalutegaklurusterhadapmedanlistrik
![Page 23: Kelompok 3 - Chapter 10 - Potential and Fields](https://reader030.vdocuments.site/reader030/viewer/2022033103/5695d0181a28ab9b0290f42d/html5/thumbnails/23.jpg)
Gaya yang dihasilkanpadamuatanuji Q: