By G. Williams (auth.)
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Extra info for An Introduction to Electrical Circuit Theory
6. 4 no problems arise. If, however, a source branch contains no resistance, that is it represents an 'ideal' source, then it possesses no variables. 5) G = 0 then i =I and v is indeterminate. 4 which assume that each branch has two variables. 16 Illustration of a voltage source substitution Consider the circuit shown in fig. 16(a), which shows part of a network containing apparently three independent nodes at a, b and c and a ground node g. But the voltage at the apparent node b is not variable because it is maintained at the potential V by the voltage source and it is not possible to write down Kirchhoffs current law at node b in terms of node voltages.
2. 1 Two-port parameters Consider the general two-port linear resistive network shown in fig. 33. 6. 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.
11) where D. is the determinant of the coefficient array, that is Rii - Ri2 - ... = -R2i ... -R2n . +R22. .. .. 11) gives +R22· · · -R2n . .. - V2/D. i2- · · ·-~In : : + V3 /D. 12) is the current which would flow in mesh 1 if the source Vi acted alone. Similarly the second term is the current in mesh 1 if the source V2 acts alone. 12) and is seen to be the sum of the currents which flow when each source acts independently, which is the principle of superposition. , E. E. Staff (1940), Electric Circuits, John Wiley & Sons, New York.
An Introduction to Electrical Circuit Theory by G. Williams (auth.)