Editing Network analysis (electrical circuits) (section)

===Two terminal component transfer functions===
For two terminal components the transfer function, or more generally for non-linear elements, the [[constitutive equation]], is the relationship between the current input to the device and the resulting voltage across it. The transfer function, Z(s), will thus have units of impedance, ohms. For the three passive components found in electrical networks, the transfer functions are;
{|
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|Resistor||<math>Z(s)=R\,\!</math>
|-
|Inductor||<math>Z(s)=sL\,\!</math>
|-
|Capacitor||<math>Z(s)=\frac{1}{sC}</math>
|}

For a network to which only steady ac signals are applied, s is replaced with ''jω'' and the more familiar values from ac network theory result.

{|
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|Resistor||<math>Z(j\omega)=R\,\!</math>
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|Inductor||<math>Z(j\omega)=j\omega L\,\!</math>
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|Capacitor||<math>Z(j\omega)=\frac{1}{j\omega C}</math>
|}

Finally, for a network to which only steady dc is applied, s is replaced with zero and dc network theory applies.

{|
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|Resistor||<math>Z=R\,\!</math>
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|Inductor||<math>Z=0\,\!</math>
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|Capacitor||<math>Z=\infin \,\!</math>
|}