Question

For mesh currents I₁,I₂,I₃ and source polarities in the circuit shown, which matrix equation is correct?

Accepted Answer

(A) $$\begin{pmatrix}3&-1&-2\-1&3&-1\-2&-1&3\end{pmatrix}\begin{pmatrix}I_1\I_2\I_3\end{pmatrix}=\begin{pmatrix}V_1\V_2\-V_3\end{pmatrix}$$

Answer

$$\begin{pmatrix}3&-1&-2\-1&3&-1\-2&-1&3\end{pmatrix}\begin{pmatrix}I_1\I_2\I_3\end{pmatrix}=\begin{pmatrix}V_1\V_2\-V_3\end{pmatrix}$$

Answer

$$\begin{pmatrix}3&-1&-2\-1&3&-1\-2&-1&-3\end{pmatrix}\begin{pmatrix}I_1\I_2\I_3\end{pmatrix}=\begin{pmatrix}V_1\V_2\V_3\end{pmatrix}$$

Answer

$$\begin{pmatrix}-3&-1&-2\-1&3&-1\-2&-1&3\end{pmatrix}\begin{pmatrix}I_1\I_2\I_3\end{pmatrix}=\begin{pmatrix}V_1\V_2\-V_3\end{pmatrix}$$

Answer

$$\begin{pmatrix}1&-1&-2\-1&2&-1\-2&-1&3\end{pmatrix}\begin{pmatrix}I_1\I_2\I_3\end{pmatrix}=\begin{pmatrix}V_1\V_2\V_3\end{pmatrix}$$

GATE 2020 IN – Question 40

Explanation