Skip to content

Chapter 7: Shaping Of Waves : General

Research workbench, not a finished commentary page.

This page is generated from processed source text and candidate catalogs. It exists to help researchers decide what to verify, promote, and deeply decode next.

FieldValue
SourceTheory and Calculation of Electric Circuits
Year1917
Section IDtheory-calculation-electric-circuits-chapter-07
Locationlines 12222-12961
Statuscandidate
Word Count3487
Equation Candidates In Section0
Figure Candidates In Section2
Quote Candidates In Section0
CHAPTER VII SHAPING OF WAVES : GENERAL 69. In alternating-current engineering, the sine wave, as shown in Fig. 46, is usually aimed at as the standard. This is not duo to any inherent merit of the sine wave. For all those pm-poses, where the energy developed by the cur- rent in a resistance is the object, as for incandescent lighting, heating, etc., any wave form is equally satisfactory, as the energy of the wave depends only on its effective value, but not on it^ shape. With regards to insulation stress, as in high-voltage systems, a flat-top wave of voltage and current, such as shown in Fig. 47, would be preferable, as it has a higher effective value, with tho same maximimi value and therefore with the same strain on tho insulation, and therefore transmits more
CHAPTER VII SHAPING OF WAVES : GENERAL 69. In alternating-current engineering, the sine wave, as shown in Fig. 46, is usually aimed at as the standard. This is not duo to any inherent merit of the sine wave. For all those pm-poses, where the energy developed by the cur- rent in a resistance is the o ...
... peaked wave of voltage, such as Fig. 48, and such as the common saw-tooth wave of the uni tooth alternator, is superior in transformers and similar devices, as it transform s tho energy with less hysteresis loss. The peaked voltage wave. Fig. 4:8, gives a flat-topped wave of magnetism. Fig. 47, and therciby transforms the voltage with a lesser maximum magnetic flux, than ^ sine wave of the same effective value, that is, the same powc^r. the hysteresis loss depends on the maximum value of t\u) mag- 5tic flux, the reduction of the maximum value of tho magnc ...
... ally is to produce and use a wave which is a sine wave or nearly so. 60. In an alternating-current generator, synchronous or in- duction machine, commutating machine, etc., the wave of voltage induced in a single armature conductor or "face conductor" equals the wave of field flux distribution around the periphery of the magnet field, modified, however, by the reluctance pulsations of the magnetic circuit, where such exist. As the latter produce higher harmonics, they are in general objectionable and to be avoided as far as possible. By properl ...
... ns, or in certain parts of the circuit, it may change to a shape which is undesirable or even Figs. 46 to 49. dangerous. Voltage, e, and current, i, are related to each other \>y proportionality, by differentiation and by integration, with sistance, r, inductance, L, and capacity, C, as factors, e = n, r di e = cl idt, and as the differentials and integrals of sines are sines, as long SB r, L and C are constant — which is mostly the case — sine waves of SHAPING OF WAVES 113 voltage produce sine waves of current and inversely, that is, t ...
Concept CandidateHits In SectionStatus
Frequency6seeded
Light2seeded
Arc lamp1seeded
Term CandidateHits In SectionStatus
No chapter-local term hits yet--
Candidate IDOCR / PDF-Text CandidateSource Location
No chapter-local candidates yet--
Candidate IDOCR / PDF-Text CandidateSource Location
theory-calculation-electric-circuits-fig-053one-half the other. Fig. 53. 61. Distribution of the winding over an arc of the periphery^ o^line 12428
theory-calculation-electric-circuits-fig-064that harmonic n, where n8 = 180**. Fig. 64. Ifline 12455
Candidate IDCandidate PassageSource Location
No chapter-local candidates yet--
  • 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.
  • Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
  • Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
  • 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.
  • 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.
  • Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
  1. Open the full source text and the scan or raw PDF.
  2. Verify the chapter boundary and surrounding context.
  3. Promote exact quotations only after checking the source image.
  4. Move mathematical candidates into canonical equation pages only after formula typography is corrected.
  5. Move diagram candidates into the diagram archive only after image extraction, crop verification, and manifest creation.
  6. Keep Steinmetz wording, modern translation, and ether-field interpretation in separate labeled layers.