2005/03/16 | CL电路[CL Circuit]
类别(Ω〖物理〗) | 评论(0) | 阅读(36) | 发表于 14:43

Given an electric circuit composed of an inductor with inductance L and a capacitor with capacitance C, the Kirchhoff loop rule requires that the sum of the changes in potential must be zero, so
(1)

where I is the current through the inductor and Q is the charge on the capacitor. Differentiating
(2)

and rearranging gives
(3)

which is a first order ordinary differential equation with solution
(4)

Here, (the current at time t = 0), is determined from a combination of and and
(5)

The current leads the voltage since


(6)

0

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