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:

    “The chief contribution of Protestantism to human thought is its massive proof that God is a bore.”
    —H.L. (Henry Lewis)

    “If we view our children as stupid, naughty, disturbed, or guilty of their misdeeds, they will learn to behold themselves as foolish, faulty, or shameful specimens of humanity. They will regard us as judges from whom they wish to hide, and they will interpret everything we say as further proof of their unworthiness. If we view them as innocent, or at least merely ignorant, they will gain understanding from their experiences, and they will continue to regard us as wise partners.”
    —Polly Berrien Berends (20th century)

    “To cease to admire is a proof of deterioration.”
    —Charles Horton Cooley (1864–1929)