GATE EC 2015 Set 2 — Question 18
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Network Theory → Two-Port Networks → Z, Y, h & ABCD Parameters
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Question
The 2-port admittance matrix of the circuit shown is given by
Correct answer
(A) bmatrix 0.3 & 0.2 \ 0.2 & 0.3 bmatrix
Solution
For a -network with admittances (shunt at port 1), (shunt at port 2), and (series arm), the admittance (Y) matrix is defined as:From the circuit diagram:
Calculating the matrix elements:
The matrix is . Given the options, which show magnitudes or use a different current convention, option (A) matches the numerical values.
Calculating the matrix elements:
The matrix is . Given the options, which show magnitudes or use a different current convention, option (A) matches the numerical values.
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