2-лекция
Гаусс теоремасының дифференциалдық формасы
(1 сағат)
Жоспары:
1.Кулон заңының өрістік анықтамасы
2. Гаусс теоремасы
3. Максвелл теңдеуі
Пайдаланатын әдебиеттер:
А.Н.Матвеев “Электродинамика и теория относительности” Москва “Высшая школа” 1964
Савельев И.В. “Основы теоретической физики” Том.1;2. – Москва “Наука”.1975,1977
Ландау Л.Д., Лифшиц Е.М. “Курс теоритической физики”-Москва “Наука”1964
Пеннер Д.И. Угаров В.А. “Электродинамика и специальная теория относительности”. –Москва ;Просвещение. 1980.
Лекция мәтіні:
Гаусс теоремасы бойынша жабықсырттағы электр индукция векторының ағыны
N сырттың ішіндегі зарядқа тең болады.
N=q. Бұл Гаусс теоремасы.
N-индукция векторының ағыны.
Электр индукция векторы заряд орнын ортаның электрлік қасиетіне байланысты болмайды.
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)
Гаусс теоремасы бойынша жабық сырттағы электр индуция векторының ағыны
Заряд жүйесі үшін Гаусс теоремасының формуласы.
3-лекция
Достарыңызбен бөлісу: |