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Nullors#

Definition: Nullor

A nullor is a strictly linear two-port which has the following implicit representation:

\[ \begin{bmatrix}1 & 0 \\ 0 & 0\end{bmatrix}\boldsymbol{v} + \begin{bmatrix}0 & 0 \\ 1 & 0\end{bmatrix}\boldsymbol{i} = \boldsymbol{0} \]

Notation

The symbol for the nullor is the following:

Nullor Symbol

It looks like this because a nullor is equivalent to a nullator and a norator, since \(v_1 = 0\) and \(i_1 = 0\), but we don't know anything about \(v_2\) and \(i_2\).

Info: Transmission Representation

The transmission representation of the nullor is the following:

\[ \begin{bmatrix}v_1 \\ i_1\end{bmatrix} = \boldsymbol{T} \begin{bmatrix}v_2 \\ -i_2\end{bmatrix} \qquad \boldsymbol{T} = \begin{bmatrix}0 & 0 \\0 & 0\end{bmatrix} \]

It is the only explicit representation which exists for the nullor.