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.

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

source routes

source text, workbench, visual and formula maps

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

Theory Calculation Alternating Current Phenomena Visual map Theory Calculation Alternating Current Phenomena Formula map Theory Calculation Alternating Current Phenomena 1897 Visual map Theory Calculation Alternating Current Phenomena 1897 Formula map Theory Calculation Alternating Current Phenomena 1900 Visual map Theory Calculation Alternating Current Phenomena 1900 Formula map Engineering Mathematics Visual map Engineering Mathematics Formula map

Modern Guide Diagrams

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

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Distributed Constants Of A Transmission Line

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

distributed-constants, capacity, inductance, waves

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Admittance Plane

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

admittance, conductance, susceptance, symbolic-method

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Equivalent Sine Waves And Harmonics

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

harmonics, wave-shape, fourier-analysis

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Hysteresis Loss Law

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

hysteresis, magnetic-loss, effective-resistance

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Reactors And Synchronizing Power

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

synchronizing-power, power-limiting-reactors, reactance

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Engineering Number Plane

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

complex-quantities, number, symbolic-method

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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

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Phasor And Symbolic Method

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

symbolic-method, complex-quantities, phase, phasor

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Hysteresis Loop

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

hysteresis, magnetism, magnetic-loss, effective-resistance

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Impedance And Reactance Triangle

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

impedance, reactance, power-factor, symbolic-method

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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

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Candidate Figure Leads

Candidate	Caption lead	Source section	Routes
`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 workbench
`engineering-mathematics-fig-005` Fig. 5	■e- FiG. 5. tance in the direction rotated 90 deg. from +2, or in quadrature	Engineering Mathematics: A Series of Lectures Delivered at Union College Chapter 1: The General Number	source workbench
`engineering-mathematics-fig-006` Fig. 6	+3 Fig. 6. For instance, in problems dealing with plain geometry, as in	Engineering Mathematics: A Series of Lectures Delivered at Union College Chapter 1: The General Number	source workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`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, and	Engineering Mathematics: A Series of Lectures Delivered at Union College Chapter 3: Trigonometric Series	source workbench
`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 workbench
`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 workbench
`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 workbench
`theory-calculation-alternating-current-phenomena-fig-007` Fig. 7	Fig. 6. Fig. 7. corresponding arc, and consequently the maximum variation of	Theory and Calculation of Alternating Current Phenomena Chapter 2: Instantaneous Values And Integral Values	source workbench
`theory-calculation-alternating-current-phenomena-fig-010` Fig. 10	21 Fig. 10. phase angle — /3’ = — (a’ — ??]) = 10 A, and the equations of	Theory and Calculation of Alternating Current Phenomena Chapter 4: Vector Representation	source workbench
`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 workbench
`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 workbench
`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, their	Theory and Calculation of Alternating Current Phenomena Chapter 4: Vector Representation	source workbench
`theory-calculation-alternating-current-phenomena-fig-024` Fig. 24	33 Fig. 24. polar coordinates by a vector of opposite direction, and denoted	Theory and Calculation of Alternating Current Phenomena Chapter 5: Symbolic Method	source workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`theory-calculation-alternating-current-phenomena-fig-033` Fig. 33	RESISTANCE AND LEAKAGE Fig. 33. 16 I TRANSMISSION	Theory and Calculation of Alternating Current Phenomena Chapter 6: Topographic Method	source workbench

Formula Leads That Pair With The Visual Topic

Candidate	OCR/PDF text	Source section	Routes
`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 workbench
`engineering-mathematics-eq-candidate-0286` engineering-math	`If, A=ai +ja2 = a (cos a+j sin a), then`	Engineering Mathematics: A Series of Lectures Delivered at Union College Chapter 1: The General Number	source workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench
`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; that`	Theory and Calculation of Alternating Current Phenomena Chapter 9: Circuits Containing Resistance, Inductive Reactance, And Condensive Reactance	source workbench
`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 workbench
`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 workbench
`theory-calculation-alternating-current-phenomena-1900-eq-candidate-0001` symbolic-ac	`1.) Ohm’s law : i = e j r, where r, the resistance, is a`	Theory and Calculation of Alternating Current Phenomena Chapter 1: Introduction	source workbench
`theory-calculation-alternating-current-phenomena-1897-eq-candidate-0001` symbolic-ac	`1.) Ohm’s law : i = e j r, where r, the resistance, is a`	Theory and Calculation of Alternating Current Phenomena Chapter 1: Introduction	source workbench
`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 workbench
`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 workbench
`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 workbench
`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 workbench

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.