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Extra resources for Broadway Overtures For Piano Vol1
1 In high-gain feedback circuits, special care must be given to the prevention of oscillations. The higher the gain the more difficult this becomes. The general procedure is to design networks that give the desired shape t; the loop gain and phase-~hift characteristic; z The design procedure in this respect is similar to that for servos as discussed ! in Chaps. 9 to 11. Feedback with Integration. —Where feedback is used in implicit solutions, it is often of value to modify the error signal by other than straight amplification.
Addition and Subtraction with Series Sources (1! vo or more generators, the voltage or current at any specified point in the network can be expressed as the sum of the voltages or currents that each generator would produce were it alone connected to the network with each of the other generators replaced by its internal impedance. If two generators of internal impedances ZI and Z, and internal voltages E 1 and Ez are connected in series with a load impedance Z~, the voltage EL across Z~. —Zl+zj+z’ (4) If El and Ez each represents a distance to a scale of, say, 1 ft per volt, then ELrepresents the sum of the two distances to a scale of (Z1 + 22 + Z~)/Z, ft per volt.
It is to be noted that with series addition and subtraction, all generators but one must be such that their terminals may be isolated from ground (“ float”) if the desired sum or difference must be with respect to ground. If the sum or difference is desired as the voltage across two terminals that may both be isolated \vith respect to ground, then all but two generators must be isoiate(l from grmlnd. “ C~round” is here ~lsecf 36 ARITHMETIC OPERA TIONS [SEC. 4 in the sense of a reference node; it is by no means uncommon for this node itself to vary with respect to ground as part of another circuit.