(a) Obtain y, z, h, and t parameters for the network shown in Fig. 16.67 using either the defining equations or mesh/nodal equations. (b) Verify your answers using the relationships in Table 16.1.
(a)
The
Answer to Problem 59E
The
Explanation of Solution
Given data:
The given diagram is shown in Figure 1.
Calculation:
Mark the branch currents and open circuit voltages.
The required diagram is shown in Figure 2.
Apply KVL at the input side.
Apply KVL at the output side.
The standard equations for
Compare equation (1) with equation (3).
Compare equation (2) with equation (4).
The
Substitute
Rearrange equation (1) as,
Rearrange equation (2) as,
Substitute
Substitute
The standard equations for
Compare equation (7) with equation (9).
Compare equation (8) with equation (10).
The
Substitute
Substitute
The standard equations for
Compare equation (11) with equation (12).
Compare equation (6) with equation (13).
The
Substitute
Rearrange equation (6) as,
Substitute
The standard equations for
Compare equation (15) with equation (16).
Compare equation (14) with equation (17).
The
Substitute
Conclusion:
Therefore, the
(b)
To verify: The value of
Explanation of Solution
Calculation:
The relation between
The determinant
Substitute
The relation between
Substitute
The relation between
Substitute
Conclusion:
Thus, within the limits of error the value of
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