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Steinmetz Decoded

AC Symbolic Geometry

Visual topic gallery

AC Symbolic Geometry

Visual routes through vectors, rectangular components, complex quantities, j rotation, impedance, reactance, admittance, and phasor thinking.

3

original crops

scan images routed into this topic
12

modern guide diagrams

reconstructions, not historical evidence
301

figure candidates

OCR/PDF-text leads needing crop review
1331

formula candidates

math leads needing transcription review

Layer rule: original crops, figure candidates, modern redraws, and formula candidates are separated. Use this page to browse visually, then verify in the linked source text and workbench.

Source Routes

Section titled “Source Routes”
Theory Calculation Alternating Current Phenomena Visual mapTheory Calculation Alternating Current Phenomena Formula mapTheory Calculation Alternating Current Phenomena 1897 Visual mapTheory Calculation Alternating Current Phenomena 1897 Formula mapTheory Calculation Alternating Current Phenomena 1900 Visual mapTheory Calculation Alternating Current Phenomena 1900 Formula mapEngineering Mathematics Visual mapEngineering Mathematics Formula map

Original Scan Crops

Section titled “Original Scan Crops”
Fig 21 Vector Diagram Transformer
Fig 21 Vector Diagram Transformer

Theory and Calculation of Alternating Current Phenomena

Theory and Calculation of Alternating Current Phenomena, Chapter V, printed page 30, PDF page 58; Fig. 21

Open image - read source - source visual map

Fig 22 Rectangular Components
Fig 22 Rectangular Components

Theory and Calculation of Alternating Current Phenomena

Theory and Calculation of Alternating Current Phenomena, Chapter V, printed page 31, PDF page 59; Fig. 22

Open image - read source - source visual map

Fig 23 Resultant Components
Fig 23 Resultant Components

Theory and Calculation of Alternating Current Phenomena

Theory and Calculation of Alternating Current Phenomena, Chapter V, printed page 32, PDF page 60; Fig. 23

Open image - read source - source visual map

Modern Guide Diagrams

Section titled “Modern Guide Diagrams”
Rotating Magnetic Field From Quadrature Fluxes
Rotating Magnetic Field From Quadrature Fluxes

Modern reading aid for induction-machine field language in AC and Theoretical Elements sources.

symbolic-method, magnetism, phase, induction-motor

Open SVG - all recreated visuals

Distributed Constants Of A Transmission Line
Distributed Constants Of A Transmission Line

Modern reading aid for line capacity, inductance, leakage, waves, and transients.

distributed-constants, capacity, inductance, waves

Open SVG - all recreated visuals

Admittance Plane
Admittance Plane

Modern reading aid for conductance, susceptance, and reciprocal impedance.

admittance, conductance, susceptance, symbolic-method

Open SVG - all recreated visuals

Equivalent Sine Waves And Harmonics
Equivalent Sine Waves And Harmonics

Modern reading aid for wave-shape analysis and higher harmonics.

harmonics, wave-shape, fourier-analysis

Open SVG - all recreated visuals

Hysteresis Loss Law
Hysteresis Loss Law

Modern reading aid for the Steinmetz law and magnetic energy loss per cycle.

hysteresis, magnetic-loss, effective-resistance

Open SVG - all recreated visuals

Reactors And Synchronizing Power
Reactors And Synchronizing Power

Modern reading aid for the Commonwealth Edison report and system-stability mathematics.

synchronizing-power, power-limiting-reactors, reactance

Open SVG - all recreated visuals

Engineering Number Plane
Engineering Number Plane

Modern reading aid for number, direction, and symbolic calculation in Engineering Mathematics.

complex-quantities, number, symbolic-method

Open SVG - all recreated visuals

AC Symbolic Method Redraw Sheet
AC Symbolic Method Redraw Sheet

Modern redraw sheet for rectangular components, resultant addition, and quarter-period j rotation.

symbolic-method, complex-quantities, phasor, operator-j

Open SVG - all recreated visuals

Phasor And Symbolic Method
Phasor And Symbolic Method

Modern reading aid for vector and complex-number representation of alternating quantities.

symbolic-method, complex-quantities, phase, phasor

Open SVG - all recreated visuals

Hysteresis Loop
Hysteresis Loop

Modern guide for magnetic lag, loop area, and energy loss per cycle.

hysteresis, magnetism, magnetic-loss, effective-resistance

Open SVG - all recreated visuals

Impedance And Reactance Triangle
Impedance And Reactance Triangle

Modern guide for resistance, reactance, impedance, phase angle, and symbolic quantities.

impedance, reactance, power-factor, symbolic-method

Open SVG - all recreated visuals

Commonwealth Edison System Reactor Map
Commonwealth Edison System Reactor Map

Modern reading aid for station sections, power-limiting reactors, tie cables, and synchronism.

power-limiting-reactors, synchronizing-power, reactance, power-systems

Open SVG - all recreated visuals

Candidate Figure Leads

Section titled “Candidate Figure Leads”
CandidateCaption leadSource sectionRoutes
elementary-lectures-electric-discharges-waves-impulses-fig-025
Fig. 25		frequency, and as the result an increase of voltage and a distor- tion of the quadrature phase occurs, as shown in the oscillogram Fig. 25. Various momentary short-circuit phenomena are illustrated by the os…Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients
Lecture 4: Single-Energy Transients In Alternating Current Circuits		source
research review
engineering-mathematics-fig-005
Fig. 5		■e- FiG. 5. tance in the direction rotated 90 deg. from +2, or in quadratureEngineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-fig-006
Fig. 6		+3 Fig. 6. For instance, in problems dealing with plain geometry, as inEngineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-fig-010
Fig. 10		There are therefore n different valuesof av^ + 1, which lie equidistant on a circle with radius 1, as shown for n = 9 in Fig. 10. 14. In the operation of addition, a + 6 = c, the problem is, a and 6 being gi…Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-fig-020
Fig. 20		d) — I — 1 0 (D — I — I — I — I — I — I — I — © — I — • — I O A B C Fig. 20. horses, multiplication has no physical meaning. If they repre- sent feet, the product of multiphcation has a physical meaning,Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-fig-046
Fig. 46		of the exactness of the results resulting from the limited num- FiG. 46. ber of numerical values of i, on which the calculation is based.Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 3: Trigonometric Series		source
research review
engineering-mathematics-fig-047
Fig. 47		able to supply the charging current of the line, due to the Fig. 47. wave shape distortion, more than two generators are required.Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 3: Trigonometric Series		source
research review
engineering-mathematics-fig-048
Fig. 48		purposes, as short-distance distribution. Fig. 48. In Figs. 47 and 48 are plotted the voltage wave and the current wave, from equations (9) and (14) repsectively, andEngineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 3: Trigonometric Series		source
research review
engineering-mathematics-fig-049
Fig. 49		As seen from Fig. 49, the fundamental wave has practically Fig. 49. vanished, and the voltage wave is the seventh harmonic, modi-Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 3: Trigonometric Series		source
research review
engineering-mathematics-fig-057
Fig. 57		?ro (62) Fig. 57. Substituting (61) into (62) gives,Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 3: Trigonometric Series		source
research review
theory-calculation-alternating-current-phenomena-fig-006
Fig. 6		maximum variation of the sine is equal to the variation of the Fig. 6. Fig. 7.Theory and Calculation of Alternating Current Phenomena
Chapter 2: Instantaneous Values And Integral Values		source
research review
theory-calculation-alternating-current-phenomena-fig-007
Fig. 7		Fig. 6. Fig. 7. corresponding arc, and consequently the maximum variation ofTheory and Calculation of Alternating Current Phenomena
Chapter 2: Instantaneous Values And Integral Values		source
research review
theory-calculation-alternating-current-phenomena-fig-010
Fig. 10		21 Fig. 10. phase angle — /3’ = — (a’ — ??]) = 10 A, and the equations ofTheory and Calculation of Alternating Current Phenomena
Chapter 4: Vector Representation		source
research review
theory-calculation-alternating-current-phenomena-fig-016
Fig. 16		^E, Fig. 16. Fig. 17.Theory and Calculation of Alternating Current Phenomena
Chapter 4: Vector Representation		source
research review
theory-calculation-alternating-current-phenomena-fig-017
Fig. 17		Fig. 16. Fig. 17. the current by the angle, Q. The voltage consumed by the resist-Theory and Calculation of Alternating Current Phenomena
Chapter 4: Vector Representation		source
research review
theory-calculation-alternating-current-phenomena-fig-019
Fig. 19		Ei-< «; Fig. 19. The primary impressed e.m.f., Ep, must thus consist of the three components OEi, OEr, and OE^, and is, therefore, theirTheory and Calculation of Alternating Current Phenomena
Chapter 4: Vector Representation		source
research review
theory-calculation-alternating-current-phenomena-fig-024
Fig. 24		33 Fig. 24. polar coordinates by a vector of opposite direction, and denotedTheory and Calculation of Alternating Current Phenomena
Chapter 5: Symbolic Method		source
research review
theory-calculation-alternating-current-phenomena-fig-025
Fig. 25		,,U— — L Fig. 25. Fig. 26.Theory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review
theory-calculation-alternating-current-phenomena-fig-026
Fig. 26		Fig. 25. Fig. 26. in the opposite direction, from terminal B to terminal A in op-Theory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review
theory-calculation-alternating-current-phenomena-fig-029
Fig. 29		NON-INDUCTIVE LOAD Fig. 29. Fig. 30.Theory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review
theory-calculation-alternating-current-phenomena-fig-030
Fig. 30		Fig. 29. Fig. 30. these currents are represented in Fig. 29 by the vectors 01 1 =Theory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review
theory-calculation-alternating-current-phenomena-fig-031
Fig. 31		CAPACIir AND RESISTANCE Fig. 31. Fig. 32.Theory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review
theory-calculation-alternating-current-phenomena-fig-032
Fig. 32		Fig. 31. Fig. 32. triangle, Ei^E^^Ez^, the voltages at the receiver’s circuit, Ei, E2,Theory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review
theory-calculation-alternating-current-phenomena-fig-033
Fig. 33		RESISTANCE AND LEAKAGE Fig. 33. 16 I TRANSMISSIONTheory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review

Formula Leads That Pair With The Visual Topic

Section titled “Formula Leads That Pair With The Visual Topic”
CandidateOCR/PDF textSource sectionRoutes
engineering-mathematics-eq-candidate-0273
engineering-math		Let A = a(cos a+j sin a) be divided by J5 = 6(cos ,5+y sin /5),Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-eq-candidate-0286
engineering-math		If, A=ai +ja2 = a (cos a+j sin a), thenEngineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-eq-candidate-0150
engineering-math		and ai + ja2 = a (cos 6 + j sin d) ;Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-eq-candidate-0151
engineering-math		or ai —ja2 = A(cos 0+j sin 6).Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-eq-candidate-0157
engineering-math		and A ==5 (cos 37 deg. H-j sin 37 deg).Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-eq-candidate-0252
engineering-math		C = AB = ah (cos a+j sin a) (cos /?+ / sin /5)Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-eq-candidate-0279
engineering-math		A = ai +ja2 = a(cos a+j sin a),Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
theory-calculation-alternating-current-phenomena-eq-candidate-0167
symbolic-ac		B = 6’ + jh” = 6(cos 13 + j sin /3)Theory and Calculation of Alternating Current Phenomena
Chapter 5: Symbolic Method		source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0240
symbolic-ac		is r - j (x -f x0} = r = .6, x + x0 = 0, and tan S>0 = 0 ;Theory and Calculation of Alternating Current Phenomena
Chapter 8: Circuits Containing Resistance, Inductance, And Capacity		source
research review
theory-calculation-alternating-current-phenomena-eq-candidate-0294
symbolic-ac		is r - j {x + Xo) = r = 0.6, x -{- Xo = 0, and tan do = 0; thatTheory and Calculation of Alternating Current Phenomena
Chapter 9: Circuits Containing Resistance, Inductive Reactance, And Condensive Reactance		source
research review
engineering-mathematics-eq-candidate-0127
engineering-math		20. If ai+y6i=6+2.5 J is represented by the point Pi;Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
engineering-mathematics-eq-candidate-0129
engineering-math		and the vertical distance 6i=2.5. If a2+jb2 = S+4:j is repre-Engineering Mathematics: A Series of Lectures Delivered at Union College
Chapter 1: The General Number		source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0001
symbolic-ac		1.) Ohm’s law : i = e j r, where r, the resistance, is aTheory and Calculation of Alternating Current Phenomena
Chapter 1: Introduction		source
research review
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0001
symbolic-ac		1.) Ohm’s law : i = e j r, where r, the resistance, is aTheory and Calculation of Alternating Current Phenomena
Chapter 1: Introduction		source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0131
symbolic-ac		or, if E = e —je’ is the impressed E.M.F., and 7 = i ’ — ji’Theory and Calculation of Alternating Current Phenomena
Chapter 5: Symbolic Method		source
research review
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0156
apparatus-systems		E.M.F. of the generator OE°, where Z0 = r0 - jx0 = inter-Theory and Calculation of Alternating Current Phenomena
Chapter 6: Topographic Method		source
research review
theory-calculation-alternating-current-phenomena-eq-candidate-0206
symbolic-ac		/, upon the e.m.f., or by IE cos d, where 9 = angle of time-Theory and Calculation of Alternating Current Phenomena
Chapter 7: Polar Coordinates And Polar Diagrams		source
research review
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0161
symbolic-ac		but E = E^y I^E^j z. If x^ > - 2,t-, it raises, if ;r < - 2 jr,Theory and Calculation of Alternating Current Phenomena
Chapter 8: Capacity		source
research review

Editorial Use

Section titled “Editorial Use”

This gallery is meant for discovery, not final citation. The strongest current source distribution is: Theory and Calculation of Alternating Current Phenomena (1168), Engineering Mathematics: A Series of Lectures Delivered at Union College (309), Elementary Lectures on Electric Discharges, Waves and Impulses, and Other Transients (39), Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co. (26). Promote a diagram or formula only after the scan, page label, exact caption, and mathematical notation are checked.