Skip to content

Reactance

Reactance is the component of AC opposition that stands in quadrature with current. The OCR candidate repeatedly distinguishes it from resistance: resistance consumes power, while reactance corresponds to a voltage component displaced by 90 degrees.

Steinmetz treats inductive reactance and “condensive reactance” as opposite in sign.

XL=2πfLX_L = 2\pi fL XC=12πfCX_C = \frac{1}{2\pi fC} X=XLXCX = X_L - X_C

The sign convention must be checked against the edition before canonical wording is finalized.

Reactance is opposition caused by fields storing and returning energy. Inductance stores energy magnetically. Capacity stores energy electrostatically. In AC, this stored energy shifts voltage and current out of phase.

Reactance is the hinge connecting circuit algebra to field energy. It is also the bridge to resonance, phase control, transformers, transmission lines, and transient oscillations.

Modern Engineering Warning

Reactance is measured in ohms, but it is not resistance. Treating it as merely another kind of friction erases the field-storage meaning that Steinmetz’s older vocabulary keeps visible.

Generated evidence layer: this dossier is built from the processed concept concordance. Counts and snippets are OCR/PDF-text aids, not final quotations. Verify against scans before making exact claims.

2490

Candidate occurrences tracked for this page.

13

Sources with at least one hit.

188

Sections, lectures, chapters, or report divisions to review.

Read this concept page through the linked source passages first. Use the dossier to locate Steinmetz’s wording, then add modern, mathematical, historical, and interpretive layers only with labels.

The strongest current source concentration is Theory and Calculation of Alternating Current Phenomena with 502 candidate hits across 26 sections.

The dossier is meant to turn a concept page into a research workbench: begin with Steinmetz’s source wording, then add modern interpretation, mathematical reconstruction, historical context, and any ether-field reading as separate layers.

condensive reactance, inductive reactance, reactance, reactive

Reactance

SourceCandidate HitsSectionsConcepts represented
Theory and Calculation of Alternating Current Phenomena50226Reactance
Theory and Calculation of Electric Circuits44214Reactance
Theory and Calculation of Alternating Current Phenomena28522Reactance
Theoretical Elements of Electrical Engineering27238Reactance
Theory and Calculation of Alternating Current Phenomena25321Reactance
Theory and Calculation of Transient Electric Phenomena and Oscillations22625Reactance
Theory and Calculation of Electric Apparatus21815Reactance
General Lectures on Electrical Engineering809Reactance
Chapter 14: Constant-Potential Constant-Current Trans Formation - 180 candidate hits

Source: Theory and Calculation of Electric Circuits (1917)

Location: lines 24023-27995 - Tracked concepts: Reactance

Open source text - Open chapter workbench

... stant-voltage supply source, are Huch as U) approach constant-voltage constant-current tran.sfonnation, as in for instance the case in very long transmission line«, or>^;n-<:ircuit- ing may lead to dangeroiLs or even destructive voltage rh¥% 128. With an inductive reactance inserted in series to an alt^^r- 245 246 ELECTRIC CIRCUITS nating-current non-...
... rted in series to an alt^^r- 245 246 ELECTRIC CIRCUITS nating-current non-inductive circuit, at constant-supply voltage, the current in this circuit is approximately constant, as long as the resistance of the circuit is small compared with the series inductive reactance. Let ^0 = Co = constant impressed alternating voltage; r = resistance of non-induc...
Chapter 12: Reactance Of Induction Apparatus - 62 candidate hits

Source: Theory and Calculation of Electric Circuits (1917)

Location: lines 22634-23465 - Tracked concepts: Reactance

Open source text - Open chapter workbench

CHAPTER XII REACTANCE OF INDUCTION APPARATUS 109. An electric current passing through a conductor is ac- companied by a magnetic field surrounding this conductor, and this magnetic field is as integral a part of the phenomenon, as is the energy dissipation by the resistance o ...
... d "non-inductive" circuit. With continuous current in stationary conditions, the inductance, L, has no effect on the energy flow; with alternating current of frequency, /, the inductance, L, consumes a voltage 2 x/Li, and is, therefore, represented by the reactance, x = 2x/L, which is measured in ohms, and differs from the ohmic resistance, r, merely...
Chapter 9: Circuits Containing Resistance, Inductive Reactance, And Condensive Reactance - 59 candidate hits

Source: Theory and Calculation of Alternating Current Phenomena (1916)

Location: lines 4674-6992 - Tracked concepts: Reactance

Open source text - Open chapter workbench

CHAPTER IX CIRCUITS CONTAINING RESISTANCE, INDUCTIVE REACTANCE, AND CONDENSIVE REACTANCE 53. Having, in the foregoing, re-established Ohm's law and Kirchhoff 's laws as being also the fundamental laws of alternating- current circuits, when expressed in their complex form, E = ZI, or, 7 = YE, and "EE = 0 in a cl ...
CHAPTER IX CIRCUITS CONTAINING RESISTANCE, INDUCTIVE REACTANCE, AND CONDENSIVE REACTANCE 53. Having, in the foregoing, re-established Ohm's law and Kirchhoff 's laws as being also the fundamental laws of alternating- current circuits, when expressed in their complex form, E = ZI, or, 7 = YE, and "EE = 0 in a closed circuit, S/ = 0 at ...
Mathematical Appendix 5: Appendix: Synchronous Operation - 58 candidate hits

Source: Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co. (1919)

Location: PDF pages 27-68, lines 2165-5013 - Tracked concepts: Reactance

Open source text - Open chapter workbench

... ngle 2w. That is, the one alternator has the voltage phase (<f> to), the other the voltage phase (0+w). We may assume the alternators as of equal voltage, since a voltage difference superposes on the synchronizing energy current due to the phase difference, a reactive magnetizing current due to the voltage difference without materially changing the en...
... [ = 2E sin co sin (2) and the interchange currentwbeteen the alternators is: 2E . i = sin co sin (<j> a) (3) where: z = r2+x 2 is the impedance of the circuit between the two alternators, and the phase angle a is given by: x tan a = - r and: r= resistance x = reactance of the circuit between the alternators (including their internal resistances and re...
Chapter 22: Armature Reactions Of Alternators - 52 candidate hits

Source: Theory and Calculation of Alternating Current Phenomena (1916)

Location: lines 23971-25134 - Tracked concepts: Reactance

Open source text - Open chapter workbench

... ective self-induction, that is, instead of the counter m.m.f. of the armature reaction, the e.m.f. considered, which would be generated by the magnetic flux, which the arma- ture reaction would produce. That is, both effects are com- bined in an effective reactance, the "synchronous reactance." While armature reaction and self-inductance are similar i...
... is, instead of the counter m.m.f. of the armature reaction, the e.m.f. considered, which would be generated by the magnetic flux, which the arma- ture reaction would produce. That is, both effects are com- bined in an effective reactance, the "synchronous reactance." While armature reaction and self-inductance are similar in ARMATURE REACTIONS OF ALTE...
Chapter 13: Reactance Of Synchronous Machines - 43 candidate hits

Source: Theory and Calculation of Electric Circuits (1917)

Location: lines 23466-24022 - Tracked concepts: Reactance

Open source text - Open chapter workbench

CHAPTER XIII REACTANCE OF SYNCHRONOUS MACHINES 119. The synchronous machine - ^alternating-current generator, synchronous motor or synchronous condenser - consists of an armature containing one or more electric circuits traversed by alternating currents and synchronously revo ...
... ts and synchronously revolving relative to a unidirectional magnetic field, excited by direct current. The armature circuit, like every electric circuit, has a resistance, r, in which power is being dissipated by the current, /, and an in- ductance, L, or reactance, a; = 2 irfL^ which represents the mag- netic flux produced by the current in the armat...
LayerWhat to add next
Steinmetz wordingPull exact source passages only after scan verification; keep OCR text labeled until then.
Modern engineering readingTranslate the source usage into present electrical-engineering or physics language without erasing the older vocabulary.
Mathematical layerLink equations, variables, diagrams, and worked examples when the concept has formula candidates.
Historical layerIdentify whether the term is still used, renamed, absorbed into modern theory, or historically obsolete.
Ether-field interpretationKeep interpretive readings separate from Steinmetz’s explicit claim and from modern physics.
Open questionsRecord places where the concordance suggests a lead but the scan or edition has not yet been checked.
  1. Open the highest-priority source-text passages above and verify the wording against scans.
  2. Promote exact definitions, equations, diagrams, and hidden-gem passages into this page with source references.
  3. Add related concept links, equation pages, and diagram pages once the evidence is scan checked.
  4. Keep speculative or Wheeler-style readings in explicitly labeled interpretation blocks.