Tellegen's Theorem - Proof

Proof

Using KVL:

\begin{align} \mathbf{W^T} \mathbf{F} = \mathbf{(A^{T} w)^T} \mathbf{F} = \mathbf{(w^{T} A)} \mathbf{F} = \mathbf{w^{T} A F} = \mathbf{0} \end{align}

because by KCL. So:

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