Chapter 7: Resistance, Inductance, And Capacity In Series In Alternating-Current Circuit
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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-29 |
| Location | lines 6798-7825 |
| Status | candidate |
| Word Count | 2917 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”CHAPTER VII. RESISTANCE, INDUCTANCE, AND CAPACITY IN SERIES IN ALTERNATING-CURRENT CIRCUIT. 65. Let, at time t = 0 or 0 = 0, the e.m.f., e = E cos (0 - 00), (1) be impressed upon a circuit containing in series the resistance, r, the inductance, L, and the capacity, C. The inductive reactance is x = 2 TT/L 1 and the condensive reactance is xc = > 2 7T/C J where/ = frequency and 6 = 2 nft. (3) Then the e.m.f. consumed by resistance is ri\ the e.m.f. consumed by inductance, is di di Ldt = xJe' and the e.m.f. consumed by capacity is , (4) where i = instantaneous value of the current. di di C Hence, e = ri + x -- + xc I i dO, (5) da J di f*Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Dielectricity / capacity
Section titled “Dielectricity / capacity”CHAPTER VII. RESISTANCE, INDUCTANCE, AND CAPACITY IN SERIES IN ALTERNATING-CURRENT CIRCUIT. 65. Let, at time t = 0 or 0 = 0, the e.m.f., e = E cos (0 - 00), (1) be impressed upon a circuit containing in series the resistance, r, the inductance, L, and the capacity, C. The inductive reactance is x = 2 TT/L 1 and the c ...Transients / damping
Section titled “Transients / damping”... - = 0, , (10) # sin 00 -- rB sin o- + B (x — xc) cos a- = 0. Substituting — 4 tan 7 = in equations (10) gives x - xc r ± s and = 00 + ? = indefinite, and the equation of current, (9), thus is i = -cos (6 - 60 -7) + A/~ (ID (12) (13) 90 TRANSIENT PHENOMENA and, substituting (12) in (7), and rearranging, the potential difference at the condenser terminals is . (14) The two integration constants Al and A2 are given by the terminal conditions of the problem. Let, at the moment of start, 0-0, i = iQ = instant ...Radiation / light
Section titled “Radiation / light”... t, at time t = 0 or 0 = 0, the e.m.f., e = E cos (0 - 00), (1) be impressed upon a circuit containing in series the resistance, r, the inductance, L, and the capacity, C. The inductive reactance is x = 2 TT/L 1 and the condensive reactance is xc = > 2 7T/C J where/ = frequency and 6 = 2 nft. (3) Then the e.m.f. consumed by resistance is ri\ the e.m.f. consumed by inductance, is di di Ldt = xJe' and the e.m.f. consumed by capacity is , (4) where i = instantaneous value of the current. di di C Hence, e = ri + x -- + xc I i dO, (5) ...Impedance / reactance
Section titled “Impedance / reactance”... RESISTANCE, INDUCTANCE, AND CAPACITY IN SERIES IN ALTERNATING-CURRENT CIRCUIT. 65. Let, at time t = 0 or 0 = 0, the e.m.f., e = E cos (0 - 00), (1) be impressed upon a circuit containing in series the resistance, r, the inductance, L, and the capacity, C. The inductive reactance is x = 2 TT/L 1 and the condensive reactance is xc = > 2 7T/C J where/ = frequency and 6 = 2 nft. (3) Then the e.m.f. consumed by resistance is ri\ the e.m.f. consumed by inductance, is di di Ldt = xJe' and the e.m.f. consumed by capacity is , (4) where i = in ...Chapter-Local Concept Hits
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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.
- Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane 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.
- Transients / damping: Transient collapse, impulse, and surge behavior can be compared with alternative field language, but only as a clearly marked reading.
- Radiation / light: Radiation and wave language can invite ether-field comparison, but source wording, modern radiation theory, and speculative synthesis must stay separated.
- 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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