Kapasitor Tsiinder

Kapasitansi mai Cylindrical Power Cable

Cable na Noma shine misali mai yawan kapasitori cylindrical. A cikin cable na noma, akwai conductor a tushen da kuma akwai layon insula a fadin. Fadinsu na cable ta fi shi da zarura mai kula wanda ana kula.

A nan zan iya duba, domin current a cikin conductor, babban cable ya haɗa da Q coulomb per meter. Tsakiyar conductor da tsakiyar fadin cable su suna r1 da r2 respectively.

Daga baya don kalkular kapasitansi wannan kapasitori cylindrical, za mu duba imaginary cylinder da tsakiyar x mita. Da kuma,

Daga baya don kalkular surface area 1m long imaginary cylinder,

Daga baya don definition, flux density a cikin surface yana cewa,

Daga baya don definition, field na electric intensity a cikin point a cikin surface imaginary yana cewa,

Daga baya don definition, field na electric intensity yana cewa ratio incremental change in voltage to incremental change in distance.

Daga baya don integration both sides from r1 to r2 we get,

Where, surface voltage of conductor of radius r1 m is V1 volt and surface voltage of outer surface of cable of radius r2 m is V2 volt.
Daga baya don outer surface is grounded, then


Daga baya don kapasitansi of the cable per unit length i.e. per meter is given as,

This is expression of capacitance per unit length i.e. per meter of the cable.
Hence, the capacitance of L meter cable will be,