Electronic – Proof;Only Reciprocal Circuit are passive circuit

passive-networks

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…?

Best 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.