Consider the following as representations of reciprocity in terms
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 |
\(\Delta h = {h_{11}}{h_{22}}-{h_{12}}{h_{21}} = 1\) |
\({h_{12}} = -\;{h_{21}}\) |