Пропущена формула

Here M₁₃ and M₁₁ are the minor-determinants obtained from the matrix determinant (5.28) by deleting the first line and third column and the first line and first column, respectively, that is

Пропущена формула

The voltage transfer ratio in (5.53) is:

(5.29)

Here

_(5.30)

_(5.31)

where τ = rC is a time constant.

The diagrams of AFC and APFC are given in Fig.5.10.a and Fig. 5.10.b respectively.

Fig. 5.10

Consider the second-order circuit in Fig. 5.11 (the Wien bridge).The matrix of node conductances for the circuit is as follows:

Пропущена формула

Fig.5.11 Fig. 5.12

Hence, the algebraic adjuncts ₁₂ and ₁₁ are:

Пропущены формулы

The voltage transfer ratio in will be

(5.32)

Here

_(5.33)

_(5.34)

When comparing (5.33) and (5.34)with (5.30), (5.31), we see that these expressions are identical and, consequently, the circuit frequency characteristics in Fig.5.9 and 5.11 coincide

Consider the third-order circuit in Fig. 5.2 (double T-form bridge).

The matrix of node conductances for this circuit is as follows:

пропущена формула

Hence, the algebraic adjuncts ₁₄, ₁₁ are:

пропущеныформулы

The voltage transfer ratio equals

пропущена формула

Here

пропущена формула

Phase angle equal

The diagrams of AFC and APHFC are represented in Fig. 5.13.a and Fig. 5.13.b.

Fig.5.13