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Theory Section 10: Hysteresis and Effective Resistance

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FieldValue
SourceTheoretical Elements of Electrical Engineering
Year1915
Section IDtheoretical-elements-electrical-engineering-section-10
Locationlines 3234-3585
Statuscandidate
Word Count1555
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10. HYSTERESIS AND EFFECTIVE RESISTANCE 46. If an alternating current 01 = I, in Fig. 21, exists in a circuit of reactance x = 2 irfL and of negligible resistance, the HYSTERESIS AND EFFECTIVE RESISTANCE 49 magnetic flux produced by the current, 0$ = $, is in phase with the current, and the e.m.f. generated by this flux, or counter e.m.f. of self-inductance, OE'" = E'" = xl, lags 90 degrees be- hind the current. The e.m.f. consumed by self-inductance or impressed e.m.f. OE" = E" = xl is thus 90 degrees ahead of the current. Inversely, if the e.m.f. OE" = E" is impressed upon a circuit of reactance x = 2 irfL and of negligible resistance, the current E" 01 = I = - - lags 90 degrees behind the impressed e.m.f. x
10. HYSTERESIS AND EFFECTIVE RESISTANCE 46. If an alternating current 01 = I, in Fig. 21, exists in a circuit of reactance x = 2 irfL and of negligible resistance, the HYSTERESIS AND EFFECTIVE RESISTANCE 49 magnetic flux produced by the current, 0$ = $, is in phase with the current, and the e.m.f. generated by this flux, or counter e.m.f. of self-inductance, OE'" = E'" = xl, lags 90 degrees be- hind the current. The e.m.f. consumed by self-inductanc ...
10. HYSTERESIS AND EFFECTIVE RESISTANCE 46. If an alternating current 01 = I, in Fig. 21, exists in a circuit of reactance x = 2 irfL and of negligible resistance, the HYSTERESIS AND EFFECTIVE RESISTANCE 49 magnetic flux produced by the current, ...
10. HYSTERESIS AND EFFECTIVE RESISTANCE 46. If an alternating current 01 = I, in Fig. 21, exists in a circuit of reactance x = 2 irfL and of negligible resistance, the HYSTERESIS AND EFFECTIVE RESISTANCE 49 magnetic flux produced by the current, 0$ = $, is in phase with the current, and the e.m.f. generated by this flux, or counter e.m.f. of self-indu ...
... In soft annealed sheet iron or sheet steel and in silicon steel, rj varies from 0.60 X 10~3 to 2.5 X 10~3, and can in average, for good material, be assumed as 1.5 X 10~3. The loss of power in the volume, V, at flux density B and frequency /, is thus P = VfoB1'6 X 10"7, in watts, and, if / = the exciting current, the hysteretic effective resist- ance is P B1'6 r" =J-* = VfrW-^' If the flux density, B, is proportional to the current, /, sub- stituting for B, and intr ...
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  • Magnetism: Track flux, reluctance, permeability, magnetizing force, and loss language against modern magnetic-circuit terminology.
  • Hysteresis: Compare the passage with modern magnetic loss, B-H loop area, lag, material memory, and empirical loss laws.
  • Impedance / reactance: Translate historical opposition terms into modern impedance, admittance, conductance, susceptance, and complex-plane notation.
  • Radiation / light: Compare the chapter’s radiation vocabulary with modern electromagnetic radiation, spectral frequency, wavelength, absorption, and illumination engineering.
  • Alternating current: Compare Steinmetz’s AC language with modern sinusoidal steady-state analysis, RMS quantities, phase, and phasor notation.
  • Magnetism: Centrifugal/divergent magnetic-field readings are interpretive overlays, not automatic historical claims.
  • Hysteresis: An interpretive reading can treat hysteresis as field lag or memory, but the historical claim must remain Steinmetz’s actual magnetic-loss treatment.
  • 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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