阻抗[Impedance] - 达人(其实～我是卧底，来自外星)

2005/06/07 | 阻抗[Impedance]
类别(Ω〖物理〗) | 评论(0) | 阅读(39) | 发表于 20:16: Any linear sinusoidal driven combination of capacitors, inductors, resistors has a steady state solution of the form
(1)

which can be found using a complex impedance Z defined by
(2)

where I and V are also treated as complex quantities. The current I is given in terms of the electromotive force by
(3)

(4)

and the phase shift by
(5)

For circuit elements in series,
(6)

and in parallel,
(7)

For capacitors,
(8)

where is the angular frequency, Q is the charge, and C is the capacitance. Taking the derivative on each side gives
(9)

so
(10)

For inductors,
(11)

where L is the inductance. Integrating both sides gives
(12)

so
(13)

For resistors, the impedance is simply equal to the resistance R,
(14); 0