Theory Section 12: Impedance of Transmission Lines
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theoretical Elements of Electrical Engineering |
| Year | 1915 |
| Section ID | theoretical-elements-electrical-engineering-section-12 |
| Location | lines 3761-4464 |
| Status | candidate |
| Word Count | 1926 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 1 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”12. IMPEDANCE OF TRANSMISSION LINES 54. Let r = resistance; x = 2 irfL = the reactance of a trans- mission line; E0 = the alternating e.m.f. impressed upon the line; I = the line current; E = the e.m.f. at receiving end of the line, and 6 = the angle of lag of current 7 behind e.m.f. E. B < 0 thus denotes leading, 0 > 0 lagging current, and 6 = 0 a non-in- ductive receiver circuit. The capacity of the transmission 0 line shall be considered as negligible. FIG. 27.— Vector diagram ,1 i f , v i. of current and e.m.fs. in a _Assummg the phase of the current transmission line assuming QI = / as zero in the polar diagram, zero capacity. Fig. 27, the e.m.f. E is represented bySource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Impedance / reactance
Section titled “Impedance / reactance”12. IMPEDANCE OF TRANSMISSION LINES 54. Let r = resistance; x = 2 irfL = the reactance of a trans- mission line; E0 = the alternating e.m.f. impressed upon the line; I = the line current; E = the e.m.f. at receiving end of the line, and 6 = the ...Dielectricity / capacity
Section titled “Dielectricity / capacity”... line; I = the line current; E = the e.m.f. at receiving end of the line, and 6 = the angle of lag of current 7 behind e.m.f. E. B < 0 thus denotes leading, 0 > 0 lagging current, and 6 = 0 a non-in- ductive receiver circuit. The capacity of the transmission 0 line shall be considered as negligible. FIG. 27.— Vector diagram ,1 i f , v i. of current and e.m.fs. in a _Assummg the phase of the current transmission line assuming QI = / as zero in ...Alternating current
Section titled “Alternating current”12. IMPEDANCE OF TRANSMISSION LINES 54. Let r = resistance; x = 2 irfL = the reactance of a trans- mission line; E0 = the alternating e.m.f. impressed upon the line; I = the line current; E = the e.m.f. at receiving end of the line, and 6 = the angle of lag of current 7 behind e.m.f. E. B < 0 thus denotes leading, ...Waves / transmission lines
Section titled “Waves / transmission lines”... r voltage E. This reactive current 7' lags be- hind E'z by less than 90 and more than zero degrees. 57. In calculating numerical values, we can pro'ceed either trigonometrically as in the preceding, or algebraically by resolv- ing all sine waves into two rectangular components; for instance, a horizontal and a vertical component, in the same way as in mechanics when combining forces. Let the horizontal components be counted positive toward the right, negative toward the left, and ...Chapter-Local Concept Hits
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Chapter-Local Glossary Hits
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Equation Candidates
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Figure Candidates
Section titled “Figure Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
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theoretical-elements-electrical-engineering-fig-031 | Taking i from Fig. 31 and substituting, gives (a) the values of e0 for e = 2000, which are recorded in the table, and plotted in Fig. 31. JTPUT | line 4090 |
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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.
- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
Ether-Field Interpretive Boundary
Section titled “Ether-Field Interpretive Boundary”- 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.
- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
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