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For a two-port reciprocal network, the three transmission parameters are A = 4, B = 7 and C = 5. What is the value of D?

For a two-port reciprocal network, the three transmission parameters are A = 4, B = 7 and C = 5. What is the value of D? Correct Answer 9.0

Concept:

= \left\left\)

For reciprocal networks, AD – BC =1

For symmetrical networks, A = D

For networks that are reciprocal and lossless, A and D are purely real while B and C are purely imaginary.

Calculation:

Given ABCD or transmission parameters are: A = 4, B = 7, C = 5

AD – BC = 1

⇒ (4 × D) – (7 × 5) = 1

⇒ D = 9

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