Millertheorem

The Millertheorem, named after John Milton Miller, the installation of impedances treated in electrical networks. There are two networks (two poles ) that are connected through an impedance Z, this impedance can be routed so that both networks are separated. The Millertheorem is the generalization of the Miller effect.

The laying in Z1 and Z2 is correct when both networks after laying the same impedances as seen previously.

The two voltages are the gain

Linked, which then laid the impedances Z1 and Z2:

Results.

Note that, for a magnification M is greater than one, the impedance Z1 is negative when Z is positive. In an inverting amplifier M -1 smaller minus the impedance Z1 is reduced significantly in comparison to Z.

Derivation

The voltage across the impedance Z IP arises from the difference of the terminal voltages, resulting in the conversion of M by substition listed.

At the same time for the "seen " impedance Z1 applies:

Equating follows:

And by equivalence transformation is obtained finally:

Analogously, for the "seen " impedance Z2:

• Electromagnetic Theory