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ECE · Q255

Network Theory And Analysis

Engineering and GATE · ECE · question 255

Q255

Two identical two-port networks having transmission matrix \[ [ array*20c A& B \\ C& D array ]\] are cascaded. What will be the resultant transmission matrix of the cascade?

Two identical two-port networks having transmission matrix \left[ {\begin{array}{*{20}{c}} {\text{A}}&{\text{B}} \\ {\text{C}}&{\text{D}} \end{array}} \right]  are cascaded. What will be the resultant transmission matrix of the cascade?
A.
\left[ {\begin{array}{*{20}{c}} {\text{A}}&{\text{B}} \\ {\text{C}}&{\text{D}} \end{array}} \right]
B.
\left[ {\begin{array}{*{20}{c}} {{\text{2A}}}&{{\text{2B}}} \\ {{\text{2C}}}&{{\text{2D}}} \end{array}} \right]
C.
\left[ {\begin{array}{*{20}{c}} {{{\text{A}}^2} + {\text{BC}}}&{{\text{AB}} + {\text{BD}}} \\ {{\text{AC}} + {\text{CD}}}&{{\text{BC}} + {{\text{D}}^2}} \end{array}} \right]
Answer
D.
\left[ {\begin{array}{*{20}{c}} {{{\text{A}}^2}}&{{{\text{B}}^2}} \\ {{{\text{C}}^2}}&{{{\text{D}}^2}} \end{array}} \right]

Answer: Option C

Solution

Answer: Option C
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