Chapter 9: Kbsistanci: And Kbactance Of Transmission Iine8
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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-09 |
| Location | lines 6371-8268 |
| Status | candidate |
| Word Count | 3373 |
| Equation Candidates In Section | 63 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER IX. KBSISTANCi: AND KBACTANCE OF TRANSMISSION IINE8. 57. In alternating-current circuits, E.M.F. is consumed in the feeders of distributing networks, and in the lines of long-distance transmissions, not only by the resistance, but also by the reactance, of the line. The E.M.F. consumed by the resistance is in phase, while the E.M.F. consumed by the reactance is in quadrature, with the current. Hence their influence upon the E.M.F. at the receiver circuit depends upon the difference of phase between the current and the E.M.F. in that circuit. As discussed before, the drop of potential due to the resistance is a maximum when the receiver current is in phase, a minimum when it is in quadrature, with the E.M.F. The change of potential due to line reactance is small if the current is in phaseSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”CHAPTER IX. KBSISTANCi: AND KBACTANCE OF TRANSMISSION IINE8. 57. In alternating-current circuits, E.M.F. is consumed in the feeders of distributing networks, and in the lines of long-distance transmissions, not only by the resistance, but also by the reactance, of the line. The E.M.F. consumed by the resistance is in phase, while the E.M.F. consumed by the reactance is in quadrature, with the current. Hence their influence upon the E.M.F. at the receiver circuit depends upon the difference of phase between the current and the E.M ...Complex quantities
Section titled “Complex quantities”... the receiver circuit. Thus the change of potential due to a line of given re- sistance and inductance depends upon the phase difference in the receiver circuit, and can be varied and controlled by varying this phase difference; that is, 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 cir ...Waves / transmission lines
Section titled “Waves / transmission lines”... The simplest condition is that of a non-inductive receiver circuit, such as a lighting circuit. 1.) XoH-iudnctivc Receiver Circuit Supplied over an Indue til 'c L inc. 58. In this case, the admittance of the receiver circuit IS F = ^, since ^ = 0. ■§58] RESISTANCE OF TRANSMISSION LINES, 85 We have then — •current, /« = Eg\ impressed E.M.F., ^^ = ^ + Z^/„ = ^ (1 + Z^g). Hence — E.M.F. at receiver circuit, E = ^ = ^ ; 1 + Z,^ l+^r,-/^:r^ current, /. = . f^^ = ^_^^'^ - ' Hence, in absolute values — E.M.F. at receiver circuit, E ^ ** • ^(y+gr ...Alternating current
Section titled “Alternating current”CHAPTER IX. KBSISTANCi: AND KBACTANCE OF TRANSMISSION IINE8. 57. In alternating-current circuits, E.M.F. is consumed in the feeders of distributing networks, and in the lines of long-distance transmissions, not only by the resistance, but also by the reactance, of the line. The E.M.F. consumed by the resist ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
|---|---|---|
| Ether | 1 | seeded |
| Light | 1 | seeded |
Chapter-Local Glossary Hits
Section titled “Chapter-Local Glossary Hits”| Term Candidate | Hits In Section | Status |
|---|---|---|
| ether | 1 | seeded |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0234 | KBSISTANCi: AND KBACTANCE OF TRANSMISSION IINE8. | line 6373 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0235 | 58. In this case, the admittance of the receiver circuit | line 6451 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0236 | IS F = ^, since ^ = 0. | line 6452 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0237 | ■§58] RESISTANCE OF TRANSMISSION LINES, 85 | line 6455 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0238 | impressed E.M.F., ^^ = ^ + Z^/„ = ^ (1 + Z^g). | line 6461 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0239 | In Fig. 57 are shown, for the constants | line 6575 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0240 | £, = 1000 volts, | line 6577 |
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0241 | Z^ = 2.5 — 6/; that is, r, = 2.5 ohms, x^ = 6 ohms, Zo = ^-5 ohms, | line 6579 |
Figure Candidates
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| No chapter-local candidates yet | - | - |
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.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
- 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.
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.