An Introduction to Electrical Circuit Theory by G. Williams (auth.)

By G. Williams (auth.)

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23(c) and the current flowing in the 4 n resistance is now 1· A. The total current flowing in the 4 n resistance with both sources operating is thus 2 + 1 = 3 A. The principle of superposition may also be used to characterise a linear network without a knowledge of the network components or without a full solution of the network being necessary. Consider the circuit shown in fig. 24. 24 Resistive Network + v Characterisation of a linear resistive network network is supplied by two variable sources, V and/, and the output current I( out) is measured by ammeter A.

1. The first branch between the ground node and the node a provides only one current equation because only one current exists and it flows through both nodes. But the addition of any other node provides an additional current equation and each additional current equation must be independent because it includes a parameter not included before, namely the branch necessary to set up a new node. If a branch is added between any two existing nodes it will not provide an independent current equation because it merely changes the parameters in the equations already existing from the application of Kirchhoffs current law to the nodes concerned.

33 General two-port, linear, resistive network and which two are the dependent variables, as a choice exists. As any two of four may be the independent variables there are therefore six possible ways in which the network may be characterised leading to six different sets of two-port parameters. A fuller discussion of two-port parameters is given in chapter 6 but two particular versions of two of the sets are useful in determining the T and IT equivalent circuits. If the currents I 1 and I 2 are the independent variables of the network shown in fig.

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