GATE EE 2017 Set 1 — Question 29

MCQ+1 / -0.33MediumThevenin's TheoremNetwork TheoremsElectric CircuitsInterconnection of Two-PortsTwo-Port Networks

Electric Circuits → Network Theorems → Interconnection of Two-Ports

Last updated 5 September 2026

Question

V_1 = A_1 V_2 + B_1 I_2

Your answer

Choose one option, then check your answer.

V_T = \frac{V_1}{A_1 A_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 A_2 + B_1 C_2}

V_T = \frac{V_1}{A_1 A_2 + B_1 C_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 A_2}

V_T = \frac{V_1}{A_1 + A_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 + A_2}

V_T = \frac{V_1}{A_1 A_2 + B_1 C_2}, Z_T = \frac{A_1 B_2 + B_1 D_2}{A_1 A_2 + B_1 C_2}

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\begin{bmatrix} A & B \\ C & D \end{bmatrix} = \begin{bmatrix} A_1 & B_1 \\ C_1 & D_1 \end{bmatrix} \begin{bmatrix} A_2 & B_2 \\ C_2 & D_2 \end{bmatrix} = \begin{bmatrix} A_1 A_2 + B_1 C_2 & A_1 B_2 + B_1 D_2 \\ C_1 A_2 + D_1 C_2 & C_1 B_2 + D_1 D_2 \end{bmatrix}

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\begin{bmatrix} A & B \\ C & D \end{bmatrix} = \begin{bmatrix} A_1 & B_1 \\ C_1 & D_1 \end{bmatrix} \begin{bmatrix} A_2 & B_2 \\ C_2 & D_2 \end{bmatrix} = \begin{bmatrix} A_1 A_2 + B_1 C_2 & A_1 B_2 + B_1 D_2 \\ C_1 A_2 + D_1 C_2 & C_1 B_2 + D_1 D_2 \end{bmatrix}

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