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:

    “Talk shows are proof that conversation is dead.”
    —Mason Cooley (b. 1927)

    “The fact that several men were able to become infatuated with that latrine is truly the proof of the decline of the men of this century.”
    —Charles Baudelaire (1821–1867)

    “Ah! I have penetrated to those meadows on the morning of many a first spring day, jumping from hummock to hummock, from willow root to willow root, when the wild river valley and the woods were bathed in so pure and bright a light as would have waked the dead, if they had been slumbering in their graves, as some suppose. There needs no stronger proof of immortality. All things must live in such a light. O Death, where was thy sting? O Grave, where was thy victory, then?”
    —Henry David Thoreau (1817–1862)