Condition for Reciprocity of a Two Port Network

Condition for Reciprocity of a Two Port Network:

If the ratio of voltage at one port to the current at other port is same to the ratio if the positions of voltage and current are interchanged, then the network is said to be Condition for Reciprocity of a Two Port Network. The transfer impedances can be measured as shown in Fig. 6.7 (a) and (b).

Condition for Reciprocity of a Two Port Network

Condition of Reciprocity for z-Parameters:

The basic equations for z-parameters are as follows

Consider Fig. 6.7 (a)

Condition for Reciprocity of a Two Port Network

Hence equation (i) can be written as,

Equation (ii) can be written as,

Condition for Reciprocity of a Two Port Network

Substituting value of I1 in equation (iii), we get

Condition for Reciprocity of a Two Port Network

Consider the Fig. 6.7 (b).

Equation (i) can be written as,

Equation (ii) can be written as,

Substituting value of I2 is equation (vii), we have,

Condition for Reciprocity of a Two Port Network

For condition of reciprocity,

Condition of Reciprocity for y-Parameters:

The basic equations of y-parameters are as follows,

Condition for Reciprocity of a Two Port Network

Consider Fig. 6.7 (a)

Equation (i) can be written as,

Equation (ii) can be written as,

Condition for Reciprocity of a Two Port Network

Consider Fig. 6.7 (b)

Equation (i) can be written as,

The network is said to be reciprocal if

Condition for Reciprocity of a Two Port Network

Condition of Reciprocity for h-Parameters:

The basic equations of h-parameters are as follows,

Condition for Reciprocity of a Two Port Network

Consider Fig. 6.7 (a)

Equation (i) can be written as,

Equation (ii) can be written as,

Condition for Reciprocity of a Two Port Network

Substituting value of I1 in equation (iii)

Consider Fig. 6.7 (b)

Condition for Reciprocity of a Two Port Network

Equation (i) can be written as

The network is said to be reciprocal if,

Condition of Reciprocity for ABCD-Parameters:

The basic equations for ABCD parameters are as follows,

Condition for Reciprocity of a Two Port Network

Consider Fig. 6.7 (a)

Equation (i) can be written as,

Consider Fig. 6.7 (b),

Equation (i) can be written as,

Equation (ii) can be written as

From equation (iii) we have,

Substituting this value in equation (iv) we have

The network is said to be reciprocal if,

Condition for Reciprocity of a Two Port Network

Updated: November 5, 2019 — 11:06 pm