Theory Section 9: Vector Diagrams
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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-09 |
| Location | lines 2865-3233 |
| Status | candidate |
| Word Count | 1813 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 1 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”9. VECTOR DIAGRAMS 42. The best way of graphically representing alternating-cur- rent phenomena is by a vector diagram. The most frequently used vector diagram is the crank diagram. In this, sine waves of alternating currents, voltages, etc., are represented as projec- tions of a revolving vector on the horizontal. That is, a vector equal in length to the maximum value of the alternating wave is assumed to revolve at uniform speed so as to make one complete revolution per period, and the projections of this revolving vec- tor upon the horizontal then represent the instantaneous values of the wave. Let, for instance, 01 represent in length the maximum value of current i = I cos (6 — 00). Assume then a vector, 07, to revolve, left-handed or in positive direction, so that it makes aSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”9. VECTOR DIAGRAMS 42. The best way of graphically representing alternating-cur- rent phenomena is by a vector diagram. The most frequently used vector diagram is the crank diagram. In this, sine waves of alternating currents, voltages, etc., are represented as projec- tions of a revolving vector on the horizontal. That is, a vector equal in length to the maximum value of the alternating wave is assumed to revolve at uniform speed so ...Impedance / reactance
Section titled “Impedance / reactance”... resistance r, e\ — e!Q sin 0, is represented by vector OEi equal to r/0, and located on the nega- VECTOR DIAGRAMS 45 tive vertical, and the counter e.m.f. of resistance by vector OE'i on the positive vertical. The counter e.m.f. of impedance: — (r/o sin 0 + x!Q cos 0) - ?Jn sin (ft -\- fi»} sin (6 + 00) then is represented graphically as the resultant, by the parallelo- gram of sine waves of OE\ and OE'2} that is, by a vector OE', equal in length to z!0, and o ...Chapter-Local Concept Hits
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Figure Candidates
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theoretical-elements-electrical-engineering-fig-016 | of the current by angle EOI = 0 would come into the position OE, Fig. 16. This vector diagram then shows graphically, by the projections of the vectors on the horizontal, the in… | line 2924 |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
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.
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