Q224
For the given circuit, which one of the following is the correct state equation?
For the given circuit, which one of the following is the correct state equation?
A.
\frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
{ - 4}&4\\
{ - 2}&{ - 4}
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
0&4\\
4&0
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
AnswerB.
\frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
{ - 4}&{ - 4}\\
{ - 2}&{ - 4}
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
4&0\\
0&4
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
C.
\frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
{ - 4}&{ - 4}\\
{ - 2}&4
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
4&4\\
4&0
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
D.
\frac{d}{{dt}}\left[ \begin{array}{l}
v\\
i
\end{array} \right] = \left[ {\begin{array}{*{20}{c}}
4&{ - 4}\\
{ - 2}&{ - 4}
\end{array}} \right]\left[ \begin{array}{l}
v\\
i
\end{array} \right] + \left[ {\begin{array}{*{20}{c}}
0&4\\
4&4
\end{array}} \right]\left[ \begin{array}{l}
{i_1}\\
{i_2}
\end{array} \right]
Answer: Option A
Solution
Answer: Option A
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