A two-port network satisfies the following relations: 4 I1 + 8 I2 = 2 V1 8 I1 + 16 I2 = V2 1. The network is reciprocal. 2. Z11 = 4 and Z12 = 8 3. Z21 = 8 and Z22 = 16 4. Z11 = 2 and Z12 = 4 Which of these relations is correct?
A two-port network satisfies the following relations: 4 I1 + 8 I2 = 2 V1 8 I1 + 16 I2 = V2 1. The network is reciprocal. 2. Z11 = 4 and Z12 = 8 3. Z21 = 8 and Z22 = 16 4. Z11 = 2 and Z12 = 4 Which of these relations is correct? Correct Answer 3 and 4 only
Concept:
Z parameters are also known as open circuit parameters.
In Z parameters input and output voltages are represented in terms of input and output currents.
V1 = Z11.I1 + Z12.I2
V2 = Z21.I1 + Z22.I2
Calculation:
Given Z parameters equations
V1 = 2.I1 + 4.I2 ------(1)
V2 = 8.I1 + 16.I2 ------(2)
Comparing equation (1) and (2) with standard equations we get,
Z11 = 2Ω
Z12 = 4Ω
Z21 = 8Ω
Z22 = 16Ω
As Z12 ≠ Z21
The network is not reciprocal.
Important Points
|
Two Port Parameters |
Condition for Symmetry |
Condition for Reciprocal |
|
Z Parameters |
Z11 = Z22 |
Z12 = Z21 |
|
Y parameters |
Y11 = Y22 |
Y12 = Y21 |
|
ABCD parameters |
A = D |
AD - BC = 1 |
|
H parameters |
h11h22 - h12h21 = 1 |
h12 = -h21 |
