Consider the following as representations of reciprocity in terms

Consider the following as representations of reciprocity in terms
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Consider the following as representations of reciprocity in terms of different two port network parameters:

1. Z parameters: z12 = z21

2. Y parameters: y12 = -y21

3. T parameters: A = D

4. H parameters: h12 = h21

Which of the above representation(s) is/are true?

A. 1, 2, 3 and 4

B. 2 and 4

C. Only 1

D. 1 and 3

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

Concept:

A network is said to be reciprocal if the voltage appearing at port 2 due to a current applied at port 1 is the same as the voltage appearing at port 1 when the same current is applied to port 2.

Two Port Parameters

Condition for Symmetry

Condition for Reciprocal

Z Parameters

\({Z_{11}} = {Z_{22}}\)

\({Z_{12}} = {Z_{21}}\)

Y parameters

\({Y_{11}} = {Y_{22}}\)

\({Y_{12}} = {Y_{21}}\)

ABCD parameters

\(A = D\)

\(\Delta T = AD-BC = 1\)

H parameters

\(\Delta h = {h_{11}}{h_{22}}-{h_{12}}{h_{21}} = 1\)

\({h_{12}} = -\;{h_{21}}\)