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:

    “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)

    “The moment a man begins to talk about technique that’s proof that he is fresh out of ideas.”
    —Raymond Chandler (1888–1959)

    “If some books are deemed most baneful and their sale forbid, how, then, with deadlier facts, not dreams of doting men? Those whom books will hurt will not be proof against events. Events, not books, should be forbid.”
    —Herman Melville (1819–1891)