Question
Download Solution PDFA two-port network has the ABCD parameters \(\left[ {\begin{array}{*{20}{c}} 7&8\\ 3&4 \end{array}} \right]\). Two such identical networks are cascaded. The ABCD parameters of the overall cascaded network will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
In cascaded connection transmission parameters get multiplied.
Calculation:
\(\left[ {\begin{array}{*{20}{c}} A&B\\ C&D \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{A_1}}&{{B_1}}\\ {{C_1}}&{{D_1}} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{A_2}}&{{B_2}}\\ {{C_2}}&{{D_2}} \end{array}} \right]\)
\( = \left[ {\begin{array}{*{20}{c}} 7&8\\ 3&4 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 7&8\\ 3&4 \end{array}} \right]\)
\( = \left[ {\begin{array}{*{20}{c}} {73}&{88}\\ {33}&{40} \end{array}} \right]\)
Last updated on May 28, 2025
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