Chapter 8: Admittance, Conductance, Susceptance
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Alternating Current Phenomena |
| Year | 1916 |
| Section ID | theory-calculation-alternating-current-phenomena-chapter-08 |
| Location | lines 4088-4673 |
| Status | candidate |
| Word Count | 1363 |
| Equation Candidates In Section | 29 |
| Figure Candidates In Section | 1 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”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 connected in multiple or in parallel, their joint resistance, R, cannot be expressed in a simple form, but is represented by the expression 1 R = Ti n rz Hence, in the latter case it is preferable to introduce, instead of the term resistance, its reciprocal, or inverse value, the term conductance, g = ~- If, then, a number of conductances, 9iy Qij ds, • ' ' are connected in parallel, their joint conductance is the sum of the individual conductances,Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”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 co ...Alternating current
Section titled “Alternating current”... e 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 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 powe ...Complex quantities
Section titled “Complex quantities”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 connected in multiple or in parallel, their joint resistance, R, cannot be expressed in a simple form, but is represented by the expression 1 R ...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-eq-candidate-0215 | 48. If in a continuous-current circuit, a number of resistances, | line 4091 |
theory-calculation-alternating-current-phenomena-eq-candidate-0216 | Ti, r2, ?‘3, …, are connected in series, their joint resistance, R, | line 4092 |
theory-calculation-alternating-current-phenomena-eq-candidate-0217 | is the sum of the individual resistances, K = ri + r2 + ra + … | line 4093 |
theory-calculation-alternating-current-phenomena-eq-candidate-0218 | 9iy Qij ds, • ’ ’ are connected in parallel, their joint conductance | line 4113 |
theory-calculation-alternating-current-phenomena-eq-candidate-0219 | is the sum of the individual conductances, or G = gi — g2 — | line 4114 |
theory-calculation-alternating-current-phenomena-eq-candidate-0220 | ADMITTANCE, CONDUCTANCE, SUSCEPTANCE 55 | line 4133 |
theory-calculation-alternating-current-phenomena-eq-candidate-0221 | 50. As shown, the term admittance implies resolving the cur- | line 4198 |
theory-calculation-alternating-current-phenomena-eq-candidate-0222 | as well as upon the resistance. Only when the reactance x = 0, | line 4208 |
Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-fig-049 | 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- | line 4618 |
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.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
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.