Theory Section 4: Power and Effective Values
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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-04 |
| Location | lines 1244-1572 |
| Status | candidate |
| Word Count | 1332 |
| Equation Candidates In Section | 54 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”4. POWER AND EFFECTIVE VALUES 20. The power of the continuous e.m.f. E producing con- tinuous current / is P = El. The e.m.f. consumed by resistance r is EI = 7r, thus the power consumed by resistance r is P = 72r. Either EI = E, then, the total power in the circuit is con- sumed by the resistance, or EI < E} then only a part of the power is consumed by the resistance, the remainder by some counter e.m.f., E — EI. If an alternating current i = I0 sin 6 passes through a resist- ance r, the power consumed by the resistance is, i*r = 702r sin2 0 = ^r C1 ~ cos 2 0), & thus varies with twice the frequency of the current, between zero and 70V. The averageSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Waves / transmission lines
Section titled “Waves / transmission lines”... through a magnetic field of <E> megalines of force. This is the formula of the alternating-current generator. 21. The formula of the direct-current generator, E = holds even if the e.m.fs. generated in the individual turns are not sine waves, since it is the average generated e.m.f. The formula of the alternating-current generator, E = V2 *fn$, does not hold if the waves are not sine waves, since the ratios of average to maximum and of maximum to effective e.m.f. are chan ...Magnetism
Section titled “Magnetism”... V2 e.m.f., e = EQ sin 6. Since E0 = 2 irfn$, it follows that J' ; = 4.44 fn& ; is the effective alternating e.m.f. generated in a coil of turns n rotating at a frequency of / (in hundreds of cycles per second) through a magnetic field of <E> megalines of force. This is the formula of the alternating-current generator. 21. The formula of the direct-current generator, E = holds even if the e.m.fs. generated in the individual turns are not sine waves, since it i ...Field language
Section titled “Field language”... m.f., e = EQ sin 6. Since E0 = 2 irfn$, it follows that J' ; = 4.44 fn& ; is the effective alternating e.m.f. generated in a coil of turns n rotating at a frequency of / (in hundreds of cycles per second) through a magnetic field of <E> megalines of force. This is the formula of the alternating-current generator. 21. The formula of the direct-current generator, E = holds even if the e.m.fs. generated in the individual turns are not sine waves, since it is the ...Alternating current
Section titled “Alternating current”... J' ; = 4.44 fn& ; is the effective alternating e.m.f. generated in a coil of turns n rotating at a frequency of / (in hundreds of cycles per second) through a magnetic field of <E> megalines of force. This is the formula of the alternating-current generator. 21. The formula of the direct-current generator, E = holds even if the e.m.fs. generated in the individual turns are not sine waves, since it is the average generated e.m.f. The formula of the alternating-current generator, E ...Chapter-Local Concept Hits
Section titled “Chapter-Local Concept Hits”| Concept Candidate | Hits In Section | Status |
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| Frequency | 2 | seeded |
Chapter-Local Glossary Hits
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| No chapter-local term hits yet | - | - |
Equation Candidates
Section titled “Equation Candidates”| Candidate ID | OCR / PDF-Text Candidate | Source Location |
|---|---|---|
theoretical-elements-electrical-engineering-eq-candidate-0130 | The e.m.f. consumed by resistance r is EI = 7r, thus the | line 1249 |
theoretical-elements-electrical-engineering-eq-candidate-0131 | power consumed by resistance r is P = 72r. | line 1250 |
theoretical-elements-electrical-engineering-eq-candidate-0132 | If an alternating current i = I0 sin 6 passes through a resist- | line 1257 |
theoretical-elements-electrical-engineering-eq-candidate-0133 | i*r = 702r sin2 0 = ^r C1 ~ cos 2 0), | line 1260 |
theoretical-elements-electrical-engineering-eq-candidate-0134 | since avg. (cos) = 0. | line 1269 |
theoretical-elements-electrical-engineering-eq-candidate-0135 | Thus the alternating current i = IQ since 0 consumes in a resist- | line 1274 |
theoretical-elements-electrical-engineering-eq-candidate-0136 | The value / = —7= is called the effective value of the alter- | line 1278 |
theoretical-elements-electrical-engineering-eq-candidate-0137 | nating current i = IQ sin 0; since it gives the same effect. | line 1282 |
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”- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
- Field language: Read for whether field language is mechanical, geometrical, causal, descriptive, or simply a convenient engineering model.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
- Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
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.
- Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
- Field language: Field-pressure or field-gradient interpretations can be explored here only after the explicit source passage and modern engineering translation are kept distinct.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
Promotion Checklist
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- Verify the chapter boundary and surrounding context.
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