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Steinmetz Decoded

Susceptance

Steinmetz Usage

Section titled “Steinmetz Usage”

Susceptance is the quadrature component of admittance. In the same way reactance belongs to the wattless component of e.m.f. in the impedance view, susceptance belongs to the wattless component of current in the admittance view.

For electrostatic capacity, Steinmetz gives:

b=2πfCb = 2\pi f C

Modern Equivalent

Section titled “Modern Equivalent”

Modern notation often writes:

Y=G+jBY = G + jB

Steinmetz’s pages often use a different sign convention:

Y=g−jbY = g - jb

The archive preserves the source convention first, then translates.

Mathematical Meaning

Section titled “Mathematical Meaning”

For:

Z=r+jxZ = r + jx

one useful Steinmetz-sign reconstruction is:

Y=r−jxr2+x2Y = \frac{r - jx}{r^2 + x^2}

therefore:

g=rr2+x2,b=xr2+x2g = \frac{r}{r^2+x^2},\quad b = \frac{x}{r^2+x^2}

Why It Matters

Section titled “Why It Matters”

Susceptance keeps the current-side view of field storage visible. It is central for parallel circuits, dielectric circuits, line charging, and distributed capacity.

Ether-Field Interpretive Reading

Interpretive only: susceptance can be read as a measure of how readily a field-storage path accepts quadrature current. Steinmetz’s source language supports the admittance and wattless-current structure; it does not by itself prove a later ether-field ontology.

Section titled “Related Pages”

Reader Synthesis

Section titled “Reader Synthesis”

What Steinmetz Is Doing Here

The processed corpus gives this concept a source trail across Steinmetz’s books and lectures. Read the source distribution first, because the meaning often changes between radiation, AC calculation, apparatus, and transients.

The current strongest source route is Theory and Calculation of Alternating Current Phenomena, with 68 candidate hits across 9 sections.

Modern Translation

Translate the older wording into modern electrical-engineering language only after the source location is visible.

This page currently tracks 220 candidate occurrences across 8 sources and 38 sections.

Mathematical And Visual Route

Use the linked equation atlas and source formula maps to decide whether this concept has a mathematical layer, a diagrammatic layer, or mainly a terminology layer.

Use the math/visual bridge lower on this page to jump into formula families, source visual maps, and candidate figure leads.

Interpretive Boundary

Interpretive readings are welcome in this archive only when they are labeled and separated from Steinmetz’s explicit wording.

Layer labels stay active: source claim, modern equivalent, mathematical reconstruction, historical note, and interpretive reading are not interchangeable.

Fast Reading Path For Susceptance

Section titled “Fast Reading Path For Susceptance”
PassageHitsLocationOpen
Chapter 10: Resistance And Reactance Of Transmission
Theory and Calculation of Alternating Current Phenomena		26lines 6993-9766read - research review
Chapter 9: Resistance And Reactance Of Transmission Lines
Theory and Calculation of Alternating Current Phenomena		23lines 5334-6956read - research review
Chapter 9: Kbsistanci: And Kbactance Of Transmission Iine8
Theory and Calculation of Alternating Current Phenomena		20lines 6371-8268read - research review
Chapter 7: Admittance, Conductance, Susceptance
Theory and Calculation of Alternating Current Phenomena		17lines 3132-3576read - research review

Research Position

Section titled “Research Position”
  • Tracked vocabulary: Susceptance.
  • Concordance: Susceptance.
  • Source discipline: the table above is for reading and navigation; exact quotation still requires scan verification.
  • Editorial rule: expand this page by promoting scan-checked passages, equations, and diagrams from the linked workbench pages, not by adding unsourced generalizations.

Source-Grounded Dossier

Section titled “Source-Grounded Dossier”

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.

220

Candidate occurrences tracked for this page.

8

Sources with at least one hit.

38

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

What The Current Corpus Shows

Section titled “What The Current Corpus Shows”

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 68 candidate hits across 9 sections.

The dossier is meant to turn a concept page into a reading path: begin with Steinmetz’s source wording, then use the research links only when you need candidate counts, snippets, mathematical reconstruction, historical context, or interpretive layers.

Terms And Aliases Tracked

Section titled “Terms And Aliases Tracked”

susceptance, susceptances

Concordance Records

Section titled “Concordance Records”

Susceptance

Source Distribution

Section titled “Source Distribution”
Theory and Calculation of Alternating Current Phenomena68 candidate hits across 9 sections.SusceptanceTheory and Calculation of Alternating Current Phenomena58 candidate hits across 8 sections.SusceptanceTheory and Calculation of Alternating Current Phenomena54 candidate hits across 7 sections.SusceptanceTheory and Calculation of Electric Circuits16 candidate hits across 2 sections.SusceptanceTheoretical Elements of Electrical Engineering12 candidate hits across 4 sections.SusceptanceTheory and Calculation of Electric Apparatus6 candidate hits across 3 sections.SusceptanceTheory and Calculation of Transient Electric Phenomena and Oscillations4 candidate hits across 3 sections.SusceptanceEngineering Mathematics: A Series of Lectures Delivered at Union College2 candidate hits across 2 sections.Susceptance

Priority Passages To Read

Section titled “Priority Passages To Read”
Chapter 10: Resistance And Reactance Of Transmission - 26 candidate hits

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

Location: lines 6993-9766 - Tracked concepts: Susceptance

Read manuscript textResearch reviewFocused snippets
... s, by varying the admittance, Y = g - jh, of the receiver circuit. The conductance, g, of the receiver circuit depends upon the consumption of power - that is, upon the load on the circuit - and thus cannot be varied for the purpose of regu- lation. Its susceptance, b, however, can be changed bj' shunt- ing the circuit with a reactance, and will be in...
... unted inductive reactance, and decreased by a shunted con- densive reactance. Hence, for the purpose of investigation, the receiver circuit can be assumed to consist of two branches, a conductance, g, - the non-inductive part of the circuit - shunted by a susceptance, h, which can be varied without expenditure of energy. The two components of current...
Chapter 9: Resistance And Reactance Of Transmission Lines - 23 candidate hits

Source: Theory and Calculation of Alternating Current Phenomena (1900)

Location: lines 5334-6956 - Tracked concepts: Susceptance

Read manuscript textResearch reviewFocused snippets
... by varying the admittance, Y = g -f jb, of the receiver circuit. The conductance, gy of the receiver circuit depends upon the consumption of power, - that is, upon the load on the circuit, - and thus cannot be varied for the purpose of reg- ulation. Its susceptance, b, however, can be changed by shunting the circuit with a reactance, and will be incre...
... decreased by a shunted con- densance. Hence, for the purpose of investigation, the 84 ALTERNATING-CURRENT PHENOMENA. receiver circuit can be assumed to consist of two branches, a conductance, g, - the non-inductive part of the circuit, - shunted by a susceptance, b, which can be varied without expenditure of energy. The two components of current can t...
Chapter 9: Kbsistanci: And Kbactance Of Transmission Iine8 - 20 candidate hits

Source: Theory and Calculation of Alternating Current Phenomena (1897)

Location: lines 6371-8268 - Tracked concepts: Susceptance

Read manuscript textResearch reviewFocused snippets
... by varying the admittance, Y = g + Jb, of the receiver circuit. The conductance, g, of the receiver circuit depends upon the consumption of power, - that is, upon the load on the circuit, - and thus cannot be varied for the purpose of reg- ulation. Its susceptance, by however, can be changed by shunting the circuit with a reactance, and will be increa...
... d by a shunted con- densance. Hence, for the purpose of investigation, the 84 AL TERN A TIXG-CURRENT PHENOMENA, [§ 68 receiver circuit can be assumed to consist of two branches, a conductance, g^ - the non-inductive part of the circuit, - shunted by a susceptance, by which can be varied without expenditure of energy. The two components of current can...
Chapter 7: Admittance, Conductance, Susceptance - 17 candidate hits

Source: Theory and Calculation of Alternating Current Phenomena (1900)

Location: lines 3132-3576 - Tracked concepts: Susceptance

Read manuscript textResearch reviewFocused snippets
CHAPTER VII. ADMITTANCE, CONDUCTANCE, SUSCEPTANCE. 38. If in a continuous-current circuit, a number of resistances, ?\, r%, r3, . . . are connected in series, their joint resistance, R, is the sum of the individual resistances If, however, a number of resistances are connected in multiple or in parall ...
... series connection, and the use of the reciprocal term conductance in parallel connections ; therefore, The joint resistance of a number of series-connected resis- tances is equal to the sum of the individual resistances ; the ADMITTANCE, CONDUCTANCE, SUSCEPTANCE. 53 joint conductance of a number of parallel-connected conduc~ tances is equal to the sum...
Chapter 8: Admittance, Conductance, Susceptance - 17 candidate hits

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

Location: lines 4088-4673 - Tracked concepts: Susceptance

Read manuscript textResearch reviewFocused snippets
CHAPTER VIII ADMITTANCE, CONDUCTANCE, SUSCEPTANCE 48. If in a continuous-current circuit, a number of resistances, Ti, r2, ?'3, . . ., are connected in series, their joint resistance, R, is the sum of the individual resistances, K = ri + r2 + ra + . . . If, however, a number of resistances are connecte ...
... tance of a number of series-connected resistances is equal to the sum of the individual resistances; the joint conduct- ance of a number of parallel-connected conductances is equal to the sum of the individual conductances. 64 ADMITTANCE, CONDUCTANCE, SUSCEPTANCE 55 49. In alternating-current circuits, instead of the term resist- ance we have the term...
Chapter 7: Admittance, Conductance, Susceftance - 15 candidate hits

Source: Theory and Calculation of Alternating Current Phenomena (1897)

Location: lines 3546-3871 - Tracked concepts: Susceptance

Read manuscript textResearch reviewFocused snippets
... connection, and the use of the reciprocal term conductance in parallel connections ; therefore, The joint resistance of a number of series -connected resis- tances is equal to the sum of the individual resistances ; the § 30] ADMITTANCE, CONDUCTANCE, SUSCEPTANCE. 53 joint conductance of a number of parallel-connected conduc- tances is equal to the sum...
... nent ^, which represents the coefficient of current in quadrature with the K.M.F., or wattless com- ponent of current, bE, g may be called the conductance^ and b the susceptanccy of the circuit. Hence the conductance, g^ is the energy component, and the susceptance, by the wattless component, of the admittance, Y = g -\-jby while the numerical value o...

Reading Layers To Build Out

Section titled “Reading Layers To Build Out”
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.

Next Editorial Actions

Section titled “Next Editorial Actions”
  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.

Math And Visual Evidence Map

Section titled “Math And Visual Evidence Map”

Generated bridge: this section crosslinks the concept page with the formula atlas, figure atlas, source visual maps, and source formula maps. It is a routing layer, not final interpretation.

400

Formula candidates routed to this concept.

29

Figure candidates routed to this concept.

1

Modern guide diagrams related to this concept.

Formula Families To Review

Section titled “Formula Families To Review”

Impedance, Reactance, And Admittance

Source Maps For This Concept

Section titled “Source Maps For This Concept”

theory-calculation-alternating-current-phenomena visuals - theory-calculation-alternating-current-phenomena formulas - theory-calculation-alternating-current-phenomena-1900 visuals - theory-calculation-alternating-current-phenomena-1900 formulas - theory-calculation-alternating-current-phenomena-1897 visuals - theory-calculation-alternating-current-phenomena-1897 formulas - theory-calculation-electric-circuits visuals - theory-calculation-electric-circuits formulas - theoretical-elements-electrical-engineering visuals - theoretical-elements-electrical-engineering formulas - theory-calculation-electric-apparatus visuals - theory-calculation-electric-apparatus formulas

Section titled “Related Modern Guide Diagrams”
Admittance Plane

Modern reading aid for conductance, susceptance, and reciprocal impedance.

admittance, conductance, susceptance, symbolic-method

Open SVG - recreated visual index

Highest-Priority Formula Leads

Section titled “Highest-Priority Formula Leads”
CandidateFamilyOCR/PDF textRoutes
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0240
strong-formula-candidate		symbolic-acis r - j (x -f x0} = r = .6, x + x0 = 0, and tan S>0 = 0 ;source
research review
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0161
strong-formula-candidate		symbolic-acbut E = E^y I^E^j z. If x^ > - 2,t-, it raises, if ;r < - 2 jr,source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0281
strong-formula-candidate		inductance-capacityThen, if E0 = impressed E.M.F.,-source
research review
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0176
strong-formula-candidate		symbolic-acis r - y (.r + ;r^) = r = .6, x + x^ = 0, and tan w^ = ;source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0219
strong-formula-candidate		symbolic-acZ -jx0 = r-j(x +#e).source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0231
strong-formula-candidate		symbolic-accircuit •- z= 1 Qj r = 1>0> x= 0 (Curve j)source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0244
strong-formula-candidate		inductance-capacityfor the constant impressed E.M.F., E0 = 100 ; for the con-source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0264
strong-formula-candidate		symbolic-ac&Q = ro JXoi ZQ = V f0 -j- Xo ,source
research review

Highest-Priority Figure Leads

Section titled “Highest-Priority Figure Leads”
CandidateCaption leadSectionRoutes
theory-calculation-alternating-current-phenomena-1900-fig-038
Fig. 38		Er Er0 Fig. 38. and the current is, /=Chapter 8: Circuits Containing Resistance, Inductance, And Capacitysource
research review
theory-calculation-alternating-current-phenomena-1900-fig-039
Fig. 39		E Fig. 39. Z-jx0 r—j(x + x0}‘Chapter 8: Circuits Containing Resistance, Inductance, And Capacitysource
research review
theory-calculation-alternating-current-phenomena-1900-fig-040
Fig. 40		of reactance in series in a non-inductive circuit is, for small Fig. 40. values of reactance, independent of the sign, but propor-Chapter 8: Circuits Containing Resistance, Inductance, And Capacitysource
research review
theory-calculation-alternating-current-phenomena-fig-049
Fig. 49		7 1.8 Fig. 49. The sign in the complex expression of admittance is always opposite to that of impedance; this is obvious, since if the cur-Chapter 8: Admittance, Conductance, Susceptancesource
research review
theory-calculation-alternating-current-phenomena-fig-100
Fig. 100		JTTTTTTTTTTTTTTTTTTTTTTT- Fig. 100. In this case the intensity as well as phase of the current, and consequently of the counter e.m.f. of inductive reactance andChapter 15: Distributed Capacity, Inductance, Resistance, And Leakagesource
research review
theory-calculation-alternating-current-phenomena-fig-101
Fig. 101		iEo Fig. 101. Denoting in Fig. 101.Chapter 15: Distributed Capacity, Inductance, Resistance, And Leakagesource
research review
theory-calculation-alternating-current-phenomena-fig-117
Fig. 117		of admittance Yq. Thus, double transformation will be represented by diagram. Fig. 117. With this the discussion of the alternate-current transformer ends, by becoming identical with that of a divided circuit con-Chapter 17: The Alternating-Current Transformersource
research review
theory-calculation-alternating-current-phenomena-fig-144
Fig. 144		nal admittance of the second machine. Fig. 144. Then, er + e’r = al^•Chapter 23: Synchronizing Alternatorssource
research review