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Download Linear Network Theory by K. F. Sander and P. Hammond (Auth.) PDF

By K. F. Sander and P. Hammond (Auth.)

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FURTHER DESCRIPTION OF 2-PORTS In 2-port usage one port is used as an input and the second as an output. The effect of a generator between a terminal of one port and one in the other is not considered. Since no confusion will result in use the nomenclature will be changed slightly from that previously used and the symbols V1 and V2 used for the voltages FIG. 2. 2-port network at the two ports and not for nodal voltages as hitherto. Referring to Fig. 2 and equations (7) we have Vl = ^ 1 1 ^ 1 + ^ 1 2 ^ 2 ^2 = Z21^1+Z22^2 The array (8) \T I12} [_z21 Z 22J is called the impedance matrix for the 2-port.

3(b) are respectively (16) (17) Active 2-port elements can also be described by the sets of parameters specified by equations (8)—(12). For example the triode valve of Fig. 4(a) has an equivalent circuit as in Fig. 4(b), for small increments in the voltages and currents. ga, μ, gm are 42 LINEAR NETWORK THEORY respectively the anode slope conductance, amplification factor and (b) (a) FIG. 4. Non-reciprocal 2-port mutual conductance, satisfying the relation gm = gji. The circuit of Fig. 4(b) has an admittance matrix ~0 0 (18) 9a 9m and a cascade matrix 1 μ 1" 0m (19) _0 oj No impedance matrix exists.

0 Answer: · V^A "3G G ~~4 G ~4 G ~~A 3G G ~~4 G ~~4 G ~~A 3G T T T 4 EQUIVALENT NETWORKS EQUIVALENT C I R C U I T S Two circuits, of any complexity, are said to be equivalent for any purpose if the relationships between the particular voltages and currents chosen are identical. This equivalence may be said to be complete if the networks are both of the same number of nodes and have the same nodal admittance matrix. They are then equivalent in the sense that any prescribed currents injected at the nodes will yield the same nodal voltages.

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