Friday, 30 September 2016

Proof;Only Reciprocal Circuit are passive circuit


Consider a two-port reciprocal network : $$ \ Y= \left[ {\begin{array}{cc} 0 & -1/2 \\ -1/2 & 0 \\ \end{array} } \right] \ $$
then how can we proof that it is a passive network or circuit?


I have no idea how to prove it ....any hints or suggestions please...?



Answer



Prove that the circuit only dissipates energy, never creates it. (=the total input power via the ports to the circuit must be greater or equal to zero), no matter what thevenin sources are connected to it.


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