Theory Section 8: Power in Alternating-current Circuits
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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-08 |
| Location | lines 2718-2864 |
| Status | candidate |
| Word Count | 743 |
| Equation Candidates In Section | 0 |
| Figure Candidates In Section | 0 |
| Quote Candidates In Section | 0 |
Opening Source Excerpt
Section titled “Opening Source Excerpt”8. POWER IN ALTERNATING-CURRENT CIRCUITS of effective value I = —7=-, in a circuit of resistance r and reac- V2 39. The power consumed by alternating current i = I0 sin 0, effective value I tance x = 2 nfL, is p = ei, where e = z!Q sin (0 + 00) is the impressed e.m.f., consisting of the components ei = r/0 sin 0, the e.m.f. consumed by resistance and 62 = x!Q cos 0, the e.m.f. consumed by reactance. z = \/r2 + x2 is the impedance and tan 00 = — the phase angle of the circuit; thus the power is p = z/o2 sin 0 sin (0 + 00) = ^- (€OS 00 - COS (20+ 00)) = zP (cos 00 - cos (20 + 00)). Since the average cos (20Source-Located Theme Snippets
Section titled “Source-Located Theme Snippets”Dielectricity / capacity
Section titled “Dielectricity / capacity”... f. of self-inductance is a wattless or reactive e.m.f., while the e.m.f. of resistance is a power or active e.m.f. The wattless e.m.f. is in quadrature, the power e.m.f. in phase with the current. In general, if 0 = angle of time-phase displacement between the resultant e.m.f. and the resultant current of the circuit, / = current, E = impressed e.m.f., consisting of two com- ponents, one, EI = E cos 0, in phase with the current, the other, 1£2 = E sin 0, in quadrature with the c ...Impedance / reactance
Section titled “Impedance / reactance”... effective value I tance x = 2 nfL, is p = ei, where e = z!Q sin (0 + 00) is the impressed e.m.f., consisting of the components ei = r/0 sin 0, the e.m.f. consumed by resistance and 62 = x!Q cos 0, the e.m.f. consumed by reactance. z = \/r2 + x2 is the impedance and tan 00 = — the phase angle of the circuit; thus the power is p = z/o2 sin 0 sin (0 + 00) = ^- (€OS 00 - COS (20+ 00)) = zP (cos 00 - cos (20 + 00)). Since the average cos (20 + 00) ...Alternating current
Section titled “Alternating current”8. POWER IN ALTERNATING-CURRENT CIRCUITS of effective value I = —7=-, in a circuit of resistance r and reac- V2 39. The power consumed by alternating current i = I0 sin 0, effective value I tance x = 2 nfL, is p = ei, where e = z!Q sin (0 + 00) is the ...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.
- Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
- Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
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.
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