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Chapter 12: Dibtbisnted Capacity, Inductance, Besistance, And

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FieldValue
SourceTheory and Calculation of Alternating Current Phenomena
Year1897
Section IDtheory-calculation-alternating-current-phenomena-1897-chapter-12
Locationlines 11564-12672
Statuscandidate
Word Count3156
Equation Candidates In Section0
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CHAPTER XII. DIBTBISnTED CAPACITY, INDUCTANCE, BESISTANCE, AND liEAKAGE. 102. As far as capacity has been considered in the foregoing chapters, the assumption has been made that the condenser or other source of negative reactance is shunted across the circuit at a definite point. In many cases, how- ever, the capacity is distributed over the whole length of the conductor, so that the circuit can be considered as shunted by an infinite number of infinitely small condensers infi. nitely near together, as diagrammatically shown in Fig. 83. 8 3 S Fig, 83. Distributed Capacity. In this case the intensity as well as phase of the current,, and consequently of the counter E.M.F. of inductance and resistance, vary from point to point ; and it is no longer possible to treat the circuit in the usual manner
CHAPTER XII. DIBTBISnTED CAPACITY, INDUCTANCE, BESISTANCE, AND liEAKAGE. 102. As far as capacity has been considered in the foregoing chapters, the assumption has been made that the condenser or other source of negative reactance is shunted across the circuit at a definite point. In many cases, how- ever ...
CHAPTER XII. DIBTBISnTED CAPACITY, INDUCTANCE, BESISTANCE, AND liEAKAGE. 102. As far as capacity has been considered in the foregoing chapters, the assumption has been made that the condenser or other source of negative reactance is shunted across the circuit at a definite point. In many cases, how- ever, the capacity is distributed over the whole length of the conductor, so that the circuit can be considered as shunted by an infinite number of infinitely small condensers infi. nitely near together, ...
... kes no difference either, whether this condenser is considered as connected across the line at the generator end, or at the receiver end, or at the middle. The best approximation is to consider the line as shunted at the generator and at the motor end, by two condensers of J the line capacity each, and in the middle by a condenser of \ the line capacity. This approximation, based on Simpson's rule, assumes the variation of the elec- tric quantities in the line as parabolic. If, however, the capacity of the line is considerable, and the condenser ...
... proportional to the E.M.F., and consisting of an energy component, in phase with the E.M.F., and a wattless component, in quadrature thereto. The alternating electromagnetic field of force set up by the line current produces in some materials a loss of energy by magnetic hysteresis, or an expenditure of E.M.F. in phase with the current, which acts as an increase of re- sistance. This electromagnetic hysteretic loss may take place in the conductor proper if iron wires are used, and will then be very serious at high frequencies, such as those of telepho ...
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  • Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
  • Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
  • Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
  • Hysteresis: Compare the passage with modern magnetic loss, B-H loop area, lag, material memory, and empirical loss laws.
  • Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
  • Dielectricity / capacity: A Wheeler-style reading may emphasize dielectric compression, field stress, and stored potential, but this page treats that as interpretation unless Steinmetz explicitly says it.
  • Hysteresis: An interpretive reading can treat hysteresis as field lag or memory, but the historical claim must remain Steinmetz’s actual magnetic-loss treatment.
  • Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
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