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Negative impedance converter

Transfer function derivation

[edit]

First, assigning Va = voltage at + terminal = Vs and assigning Vb = voltage at - terminal and assigning Vo = voltage at output

Kirchoff's current law


rearranging to express in terms of and


rearranging to express in terms of and


Kirchoff's current law


rearranging


where = the opamp open loop gain


substituting for and


rearranging


rearranging


cancelling out the term and simplifying


shown earlier


substituting for