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:

Read more about this topic:  Tellegen's Theorem

Famous quotes containing the word proof:

    “a meek humble Man of modest sense,
    Who preaching peace does practice continence;
    Whose pious life’s a proof he does believe,
    Mysterious truths, which no Man can conceive.”
    —John Wilmot, 2d Earl Of Rochester (1647–1680)

    “He who has never failed somewhere, that man can not be great. Failure is the true test of greatness. And if it be said, that continual success is a proof that a man wisely knows his powers,—it is only to be added, that, in that case, he knows them to be small.”
    —Herman Melville (1819–1891)

    “From whichever angle one looks at it, the application of racial theories remains a striking proof of the lowered demands of public opinion upon the purity of critical judgment.”
    —Johan Huizinga (1872–1945)