Chapter 5: Resistance, Inductance, And Capacity In Series Condenser Charge And Discharge
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Source Metadata
Section titled “Source Metadata”| Field | Value |
|---|---|
| Source | Theory and Calculation of Transient Electric Phenomena and Oscillations |
| Year | 1909 |
| Section ID | theory-calculation-transient-electric-phenomena-oscillations-chapter-27 |
| Location | lines 4072-5311 |
| Status | candidate |
| Word Count | 2722 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER V. RESISTANCE, INDUCTANCE, AND CAPACITY IN SERIES. CONDENSER CHARGE AND DISCHARGE. 29. If a continuous e.m.f . e is impressed upon a circuit contain- ing resistance, inductance, and capacity in series, the stationary condition of the circuit is zero current, i = o, and the poten- tial difference at the condenser equals the impressed e.m.f., et =• e, no permanent current exists, but only the transient current of charge or discharge of the condenser. The capacity C of a condenser is defined by the equation . de that is, the current into a condenser is proportional to the rate of increase of its e.m.f. and to the capacity. It is therefore and e-^-lidt (1) is the potential difference at the terminals of a condenser of capacity C with current i in the circuit toSource-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Dielectricity / capacity
Section titled “Dielectricity / capacity”CHAPTER V. RESISTANCE, INDUCTANCE, AND CAPACITY IN SERIES. CONDENSER CHARGE AND DISCHARGE. 29. If a continuous e.m.f . e is impressed upon a circuit contain- ing resistance, inductance, and capacity in series, the stationary condition of the circuit is zero current, i = o, and the poten- tial difference at the condenser ...Transients / damping
Section titled “Transients / damping”... pressed upon a circuit contain- ing resistance, inductance, and capacity in series, the stationary condition of the circuit is zero current, i = o, and the poten- tial difference at the condenser equals the impressed e.m.f., et =• e, no permanent current exists, but only the transient current of charge or discharge of the condenser. The capacity C of a condenser is defined by the equation . de that is, the current into a condenser is proportional to the rate of increase of its e.m.f. and to the capacity. It is therefore and e-^-lidt (1) is t ...Waves / transmission lines
Section titled “Waves / transmission lines”... 10.2 £-200' sin 980*; the condenser potential is e, - 1000 { 1 - e" 20° ' (cos 980 t + 0.21 sin 980 0 } . 62 TRANSIENT PHENOMENA 41. Since the equations of current and potential difference (42) to (47) contain trigonometric functions, the phenomena are periodic or waves, similar to alternating currents. They r differ from the latter by containing an exponential factor e 2 L , which steadily decreases with increase of t. That is, the sue- 16UUI — f ^ f N, c = « 1QOO volts L = = 1 X)mh 1 X \ T = 40 oh, as ...Complex quantities
Section titled “Complex quantities”... the dependent vari- able, i, and its differential quotients, and as such is integrated by an exponential function of the general form i = Ae-*. (6) (This exponential function also includes the trigonometric functions sine and cosine, which are exponential functions with imaginary exponent a.) CONDENSER CHARGE AND DISCHARGE 49 Substituting (6) in (5) gives this must be an identity, irrespective of the value of t, to make (6) the integral of (5). That is, a?L-ar+- = Q. (7) A is still indefinite, and therefore determined by the terminal condit ...Chapter-Local Concept Hits
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| Frequency | 6 | seeded |
| Ether | 1 | seeded |
Chapter-Local Glossary Hits
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| ether | 1 | seeded |
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Modern Engineering Reading Prompts
Section titled “Modern Engineering Reading Prompts”- Dielectricity / capacity: Check whether the passage treats capacity, condensers, displacement, or dielectric stress as field storage rather than only circuit algebra.
- Transients / damping: Separate the temporary term from the final steady-state term and compare with differential-equation response language.
- Waves / transmission lines: Map Steinmetz’s wave and line language onto modern distributed constants, propagation velocity, standing waves, and reflections.
- Complex quantities: Track how Steinmetz preserves geometric rotation and quadrature while translating the same operation into symbolic form.
- 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”- 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.
- Transients / damping: Transient collapse, impulse, and surge behavior can be compared with alternative field language, but only as a clearly marked reading.
- Waves / transmission lines: Standing/traveling wave passages may support richer field interpretations; the page keeps those readings separate from verified Steinmetz wording.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
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