Chapter 7: Admittance, Conductance, Susceftance
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1897 |
| Section ID | theory-calculation-alternating-current-phenomena-1897-chapter-07 |
| Location | lines 3546-3871 |
| Status | candidate |
| Word Count | 1238 |
| Equation Candidates In Section | 24 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER VII. ADMITTANCE, CONDUCTANCE, SUSCEFTANCE. 38. If in a continuous-current circuit, a number of resistances, rj, rj, rg, . . . are connected in series, their joint resistance, Ry is the sum of the individual resistances ^ = ^1 + ^2 + 'a + • • • If, however, a number of resistances are connected in multiple or in parallel, their joint resistance, R^ cannot be expressed in a simple form, but is represented by the expression : — rx n r^ Hence, in the latter case it is preferable to introduce, in- stead of the term resistance^ its reciprocal, or inverse value, the term conductance^ g =\ J r. If, then, a number of con- ductances, gxy g%i g^y . . . are connected in parallel, their joint conductance is the sum of theSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”CHAPTER VII. ADMITTANCE, CONDUCTANCE, SUSCEFTANCE. 38. If in a continuous-current circuit, a number of resistances, rj, rj, rg, . . . are connected in series, their joint resistance, Ry is the sum of the individual resistances ^ = ^1 + ^2 + 'a + • • • If, however, a number of resistances are c ...Complex quantities
Section titled “Complex quantities”CHAPTER VII. ADMITTANCE, CONDUCTANCE, SUSCEFTANCE. 38. If in a continuous-current circuit, a number of resistances, rj, rj, rg, . . . are connected in series, their joint resistance, Ry is the sum of the individual resistances ^ = ^1 + ^2 + 'a + • • • If, however, a number of resistances are connected in multiple or in parallel, their joint resistance, R^ cannot be expressed in a simple ...Alternating current
Section titled “Alternating current”... 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 of the individual conductances, 39. In alternating-current circuits, instead of the term resistance we have the term impedance , Z = r —jx, with its two components, the resistance^ r, and the reactance^ x, in the formula of Ohm's law, E = IZ, The resistance, r, gives the component of E.M.F. in phase with the current, or the energy ...Chapter-Local Concept Hits
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Chapter-Local Glossary Hits
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Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0118 | ^ = ^1 + ^2 + ‘a + • • • | line 3555 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0119 | § 30] ADMITTANCE, CONDUCTANCE, SUSCEPTANCE. 53 | line 3592 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0120 | 40. As shown, the term admittance implies resolving | line 3659 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0121 | reactance ^ = 0, or in continuous-current circuits, is the | line 3670 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0122 | Again, only in circuits with zero resistance (r = 0) is | line 3673 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0123 | 1.) If r = oc , or ^ = 00 , since in this case no current | line 3679 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0124 | passes, and either component of the current = 0. | line 3680 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0125 | §40] ADMITTANCE, CONDUCTANCE, SUSCEPTANCE. 55 | line 3683 |
Figure Candidates
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Hidden-Gem Quote Candidates
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- 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.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- No special ether-field prompt was generated for the current top themes. Add one only after source review.
Promotion Checklist
Section titled “Promotion Checklist”- Open the full source text and the scan or raw PDF.
- Verify the chapter boundary and surrounding context.
- Promote exact quotations only after checking the source image.
- Move mathematical candidates into canonical equation pages only after formula typography is corrected.
- Move diagram candidates into the diagram archive only after image extraction, crop verification, and manifest creation.
- Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.