RLC Parallel Circuit

RLC并联电路

Finding the impedance of a parallel RLC circuit is considerably more difficult than finding the series RLC impedance. This is because each branch has a phase angle and they cannot be combined in a simple way. The impedance of the parallel branches combine in the same way that parallel resistors combine:

计算并联RLC电路的阻抗比计算串联RLC阻抗要困难得多。这是因为每个支路都有一个相位角，它们不能以简单的方式组合。并联支路的阻抗组合方式与并联电阻的组合方式相同：

But although the branch impedance magnitudes can be calculated from

但尽管支路阻抗幅度可以从

and

并且

RL Circuit

RL电路

RC Circuit

RC电路

they cannot be directly combined as suggested by the expression above because they are different in phase - like vectors in different directions cannot be added directly. This dilemma is most easily solved by the complex impedance method.

它们不能像上面的表达式所建议的那样直接相加，因为它们在相位上不同——就像方向不同的向量不能直接相加一样。这个困境最容易通过复阻抗方法来解决。

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索引 AC 电路

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RLC Parallel: Complex Impedance Method

RLC并联：复阻抗法

When the complex impedances of the branches of the parallel RLC circuit are combined, the equivalent impedance is of the form

When this expression is rationalized and put in the standard form

当这个表达式有理化并化为标准形式时

Calculation

计算

then the impedance in ohms and the phase can be determined. By setting the = 0, the resonant frequency can be calculated. The expressions for these calculations are quite lengthy.