Official PYQ · 2020Set 1 · Q30Circuit AnalysisMCQ2 marks

GATE EC 2020 Set 1 Q30 — Circuit Analysis

For the given circuit, which one of the following is correct state equation?

Choose one optionA

\dfrac{\mathrm{d} }{\mathrm{d} t}\begin{bmatrix} v\\ i \end{bmatrix}=\begin{bmatrix} -4 &4 \\ -2 & -4 \end{bmatrix}\begin{bmatrix} v\\ i \end{bmatrix}+\begin{bmatrix} 0 & 4\\ 4& 0 \end{bmatrix}\begin{bmatrix} i_{1}\\ i_{2} \end{bmatrix} \\

\dfrac{\mathrm{d} }{\mathrm{d} t}\begin{bmatrix} v\\ i \end{bmatrix}=\begin{bmatrix} -4 &-4 \\ -2 & 4 \end{bmatrix}\begin{bmatrix} v\\ i \end{bmatrix}+\begin{bmatrix} 4 & 4\\ 4& 0 \end{bmatrix}\begin{bmatrix} i_{1}\\ i_{2} \end{bmatrix} \\

\dfrac{\mathrm{d} }{\mathrm{d} t}\begin{bmatrix} v\\ i \end{bmatrix}=\begin{bmatrix} 4 &-4 \\ -2 & -4 \end{bmatrix}\begin{bmatrix} v\\ i \end{bmatrix}+\begin{bmatrix} 0& 4\\ 4& 4 \end{bmatrix}\begin{bmatrix} i_{1}\\ i_{2} \end{bmatrix} \\

\dfrac{\mathrm{d} }{\mathrm{d} t}\begin{bmatrix} v\\ i \end{bmatrix}=\begin{bmatrix} -4 &-4 \\ -2 & -4 \end{bmatrix}\begin{bmatrix} v\\ i \end{bmatrix}+\begin{bmatrix} 4& 0\\ 0& 4 \end{bmatrix}\begin{bmatrix} i_{1}\\ i_{2} \end{bmatrix} \\

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Answer: A

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Published 10 Oct 2026

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