A problem of circuit theory

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OMEsystem

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We have an unkown tow-port ciruit. We obtain Z1, Z2, Z3, Z4 by open and short
one of the port. Can we know the impedance of this circuit?
Please see the attached.
 

Hi,
formally spoken - the unknown input impedance of the box in line 3 of the figure provided is identical to Z3 since there is no difference between the unknown twoport and the left part of line 2 (the current at both outputs is zero).

The input impedance of the unknown twoport - of course - depends on the load which is connected at its output.
 

Can we know the impedance of this circuit?
A two-port has no single "impedance", a two-pole has. Furhermore, a two-port can't be generally characterized by the said four impedance measurements. Consider e. g. an ideal transformer, it would show open circuit respectively short circuit on both ports, but it's transmission ration wouldn't reveal.
 

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