Dəyişən cərəyan dövrəsində induktivlik
Induktivliyə malik dəyişən cərəyan dövrəsinə baxaq.
Dövrədə axan dəyişən cərəyan induktiv sarğacda öz- özünə induksiya e.h.q. yaradacaq:
Baxdığımız dövrə hissəsində Om qanununu tətbiq edək:
Bu dövrə hissəsində olduğundan və olur. Onda gərginlik dövrədəki öz- özünə induksiya e.h.q.-ni tarazlaşdırır
(1)
Burada (2) - induktivlikdəki gərginlik düşgüsüdür. Görürük ki, gərginlik cərəyanın tam qiyməti ilə deyil, onun dəyişməsi ilə mütənasibdir.
ifadəsindən alırıq:
Inteqrallayaraq alırıq:
Cərəyan dəyişən olduğundan ![](data:image/png;base64,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)
(3) burada (4)
(3) və (4)- ün müqayisəsindən görürük ki, bu halda müqavimət rolunu ifadəsi oynayır. Bu ifadəni induktivlik müqavimət adlandırırlar, onun vahidi omdur ( ) ~ , yəni induktivlik sabit cərəyana müqavimət göstərmir.
(4)- dən ifadəni (1)- də yerinə yazsaq
Induktivlikdəki gərginlik düşgüsü üçün alırıq:
(5)
(3) və (5) ifadələrinin müqayisəsindən belə nəticəyə gəlirik ki, induktivlikdəki gərginlik düşgüsündəkı cərəyan fəzaya görə qədər qabaqlayır. Bu nəticəni vektor diaqramında belə göstərə bilərik.
Bu o deməkdir ki, gərginlik ən böyük qiymətinə, cərəyan sıfırdan keşdikdə malik olur.![](data:image/jpeg;base64,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)
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