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Steinmetz Decoded

Power, Energy, Work, And Efficiency

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Why This Family Matters

Section titled “Why This Family Matters”

Routes equations where electrical quantities become work, heat, output, loss, or system performance.

73

candidate records in this family.

46

reviewable relation candidates.

9

sources represented.

Candidate Formula Cards

Section titled “Candidate Formula Cards”

These are OCR candidates. They remain plain text until a reviewer checks the scan and promotes the formula into a curated math page.

#1Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 979
Priority OCR formula candidate2.) Joule’s law: P= izr, where P is the rate at which
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#2Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 982
Priority OCR formula candidate3.) The power equation : P0 = ei, where P0 is the
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#3Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1140
Priority OCR formula candidate2. Joule’s law: P = ^^r, where P is the power, or the rate at
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#4Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1240
Priority OCR formula candidate2.) Joule’s law : P= i^r, where P is the rate at which
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#5Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1249
Priority OCR formula candidateThe e.m.f. consumed by resistance r is EI = 7r, thus the
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#6Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2367
Priority OCR formula candidateThe kinetic energy of 1 kg. weight of matter, Eq = mc^,
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#7Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1274
Priority OCR formula candidateThus the alternating current i = IQ since 0 consumes in a resist-
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#8Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1317
Priority OCR formula candidateE = V2 *fn$,
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#9Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1326
Priority OCR formula candidateE = 7 \/2
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#10Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1378
Priority OCR formula candidatethe current / = omn = 44.2 amperes effective.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#11Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1385
Priority OCR formula candidater = - - -rT^ - ” = 0.71 ohms per circuit.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#12Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1393
Priority OCR formula candidate(Id = 0.82 cm.), 45 cm. apart, transmitting the output of this
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#13Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1414
Priority OCR formula candidateE = A/2 */ $
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#14Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1494
Priority OCR formula candidateT = e3 = ^T
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#15Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1520
Priority OCR formula candidatee1 = 0.2 E + 2 X
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#16Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1527
Priority OCR formula candidatee2 = 2 ei - 0-3 irE,
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#17Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1355
Priority OCR formula candidate5. In Joule’s law, P = i^r, r is not the true ohmic resistance,
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#18Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1446
Priority OCR formula candidate5. In Joule’s law, P = /^r, r is not the true ohmic
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#19Theory and Calculation of Electric CircuitsChapter 6: Magnetism- line 11137
Priority OCR formula candidatemechanical energy t^o =Fl by (1), and therefrom the mechanical
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#20Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1143
Priority OCR formula candidate3. The power equation: Po = ei, where Po is the power
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#21Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1243
Priority OCR formula candidate3.) The power equation : P^ = ei, where P^ is the
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#22Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2320
Reviewable OCR relationThis energy, for y = 0, or the mass at rest, becomes:
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#23Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1250
Reviewable OCR relationpower consumed by resistance r is P = 72r.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#24Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1292
Reviewable OCR relationSince E0 = 2 irfn$, it follows that
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#25Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1425
Reviewable OCR relationor, since 0 = 2 irft = 210 t we have,
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#26Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1465
Reviewable OCR relationei = 0.8 e;
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#27Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1470
Reviewable OCR relationez = | ei = 0.4 ire,
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#28Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1187
Reviewable OCR relation5. In Joule’s law, P = i2r, r is not the true ohmic
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#29America and the New EpochChapter 3: The Individualistic Era: From Competition to Co-operation- line 1214
Reviewable OCR relationgive an annual loss of $40 - $33 = $7, or 7 per
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#30Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2345
Reviewable OCR relationenergy of mass,” is £“00 = mc”-.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#31General Lectures on Electrical EngineeringLecture 3: Light And Power Distribution- line 1259
Reviewable OCR relationgives 4 X ; = jg or altogether ^ + ^ = jg of the
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#32General Lectures on Electrical EngineeringLecture 3: Light And Power Distribution- line 1440
Reviewable OCR relationor glof 4 = 24 » ^^’^ so gives a total copper economy of
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#33Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1278
Reviewable OCR relationThe value / = -7= is called the effective value of the alter-
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#34Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1401
Reviewable OCR relationeffective gives 44.2\/2 = 62.5 amp. maximum.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#35Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1406
Reviewable OCR relation3, as 2 $ = 0.188 X 106/, or $ = 0.094 X 106/ for each wire.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#36Theory and Calculation of Electric CircuitsChapter 6: Magnetism- line 11272
Reviewable OCR relationand since 1 joule = 10^ absolute units, the mechanical work is
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#37General Lectures on Electrical EngineeringLecture 16: The Incandescent Lamp- line 9753
Reviewable OCR relation16 x .79 = 12.6 c. p., and at an efficiency of 3.1 watts per
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#38Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1300
Reviewable OCR relation= 4.44 fn& ;
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#39Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1355
Reviewable OCR relation= 4.44 X 0.333 X 360 X 6.4
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#40Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1356
Reviewable OCR relation= 3400 volts per circuit.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#41Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1367
Reviewable OCR relation= 5900 volts effective.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#42Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1388
Reviewable OCR relationX 0.71 = 1400 watts per circuit, or a total of 3 X 1400 = 4200
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#43Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1411
Reviewable OCR relation$ = 22.3 X 62.5 X 0.094 X 106 = 131 megalines.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#44Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1416
Reviewable OCR relation= 4.44 X 0.333 X 131
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#45Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1496
Reviewable OCR relation= 1.006;
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#46Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1523
Reviewable OCR relation= 0.6 E.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#47General Lectures on Electrical EngineeringLecture 17: Arc Lighting- line 12171
OCR formula fragmentpower of 5 X 10* K. W. Estimating the energy of the discharge,
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#48Theory and Calculation of Electric CircuitsChapter 1: Electric Conduction. Soled And Liquid- line 1500
OCR formula fragmentthus must be such that e volts times 1 amp.-sec, or e watt-sec. or
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#49Theory and Calculation of Electric CircuitsChapter 6: Magnetism- line 11124
OCR formula fragmentenergy produced, + increase of the stored magnetic energy. (1)
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#50Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1477
OCR formula fragmentFIG. 8. - E.m.f. of a single conductor, direct-current machine
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#51Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1372
Possible prose/noisy OCR1.8 X 10~6, what is the e.m.f. consumed in the machine by the
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#52Theory and Calculation of Electric CircuitsChapter 6: Magnetism- line 11423
OCR formula fragmentoutput, or the efficiency of the electromagnet, thus is, by (22)
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#53General Lectures on Electrical EngineeringLecture 3: Light And Power Distribution- line 1471
OCR formula fragmentFife. 13. Single-Phase Llfehtlnfe and Three-Phnse Power.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#54General Lectures on Electrical EngineeringLecture 16: The Incandescent Lamp- line 9728
OCR formula fragmentlife of 500 hours; since obviously any efficiency can be pro-
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#55Theory and Calculation of Electric CircuitsChapter 6: Magnetism- line 11458
OCR formula fragment32.4 gram-cm. pull per volt-ampere suppUed to its terminals.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#56America and the New EpochChapter 3: The Individualistic Era: From Competition to Co-operation- line 1222
Possible prose/noisy OCRcost, to $33, as the loss thereby incurred, of
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#57America and the New EpochChapter 3: The Individualistic Era: From Competition to Co-operation- line 1223
Possible prose/noisy OCR7 per cent., is less than the loss in standing idle.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#58General Lectures on Electrical EngineeringLecture 4: Load Factor And Cost Of Power- line 1607
Possible prose/noisy OCRLOAD FACTOR AND COST OF POWER 53
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#59General Lectures on Electrical EngineeringLecture 4: Load Factor And Cost Of Power- line 1884
Possible prose/noisy OCRFor instance, Fig. 14 shows an approximate load curve
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#60General Lectures on Electrical EngineeringLecture 4: Load Factor And Cost Of Power- line 1888
Possible prose/noisy OCRLOAD FACTOR AND COST OF POWER 55
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#61General Lectures on Electrical EngineeringLecture 4: Load Factor And Cost Of Power- line 2338
Possible prose/noisy OCRshape shown in Fig. 16: fairly constant from the opening
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#62General Lectures on Electrical EngineeringLecture 4: Load Factor And Cost Of Power- line 2345
Possible prose/noisy OCRLOAD FACTOR AND COST OF POWER 57
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#63General Lectures on Electrical EngineeringLecture 4: Load Factor And Cost Of Power- line 2535
Possible prose/noisy OCRLOAD FACTOR AND COST OF POWER 59
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#64General Lectures on Electrical EngineeringLecture 17: Arc Lighting- line 12259
Possible prose/noisy OCRAverage energy of the discharge: 10,000 K. W. sec., or
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#65Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1370
Possible prose/noisy OCRsq. cm. and a mean length of 240 cm. per turn. At a resistivity
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#66Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1373
Possible prose/noisy OCRresistance, and what the power consumed at 450 kw. output?
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#67Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1381
Possible prose/noisy OCRThe resistance of 360 turns of 240 cm. length, 0.22 sq. cm.
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#68Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1382
Possible prose/noisy OCRsection and 1.8 X 10~6 resistivity, is
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#69Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1384
Possible prose/noisy OCR360 X 240 X 1.8 X 10~6
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#70Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1405
Possible prose/noisy OCRapart and 0.82 cm. diameter was found in paragraph 1, example
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#71Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1500
Possible prose/noisy OCRC, as shown in Fig. 6, to B, E, constant voltage E exists between
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.

#72Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1543
Possible prose/noisy OCRrising on a parabolic curve from 0 to E2 during 40 per cent, of
Why this is not rendered automatically

This line is OCR/PDF-derived candidate text. Treat it as a pointer to the source scan, not as a verified mathematical transcription.