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Steinmetz Decoded

Apparatus, Machines, And Power Systems

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Why This Family Matters

Section titled “Why This Family Matters”

Routes formulas tied to machines, apparatus, synchronism, and operating power systems.

410

candidate records in this family.

323

reviewable relation candidates.

6

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 6: Topographic Method- line 3017
Priority OCR formula candidateE.M.F. of the generator OE°, where Z0 = r0 - jx0 = inter-
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.

#2Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2211
Priority OCR formula candidatee1 = E cos(…); e2 = E cos(…), OCR candidate
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.

#3Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2212
Priority OCR formula candidateei = E cos (0
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.

#4Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2218
Priority OCR formula candidatee = e1 - e2 = 2E sin(…) sin(…), OCR candidate
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.

#5Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2231
Priority OCR formula candidatei = (2E / z) sin(…) sin(…), OCR candidate
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.

#6Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2240
Priority OCR formula candidatez = sqrt(r^2 + x^2); tan a = x / r, OCR candidate
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.

#7Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2397
Priority OCR formula candidatep’Y=-!|cos(2a>-a)
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.

#8Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2428
Priority OCR formula candidateP=- sin a sin 2co
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.

#9Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2522
Priority OCR formula candidateW= ^-sin a (1-cos 2 Wo )
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.

#10Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3483
Priority OCR formula candidate2Eo sin wo = I (2xx+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.

#11Theory and Calculation of Electric ApparatusChapter 4: Induction Motor With Secondary Excitation- line 6153
Priority OCR formula candidate” -Pi = U (e0 - ri\ - xi2) + it (xit - n2), (16)
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.

#12Theory and Calculation of Electric ApparatusChapter 4: Induction Motor With Secondary Excitation- line 6157
Priority OCR formula candidatePi = cot’i - r (tV + it2)
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.

#13Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2246
Priority OCR formula candidatetan a = -
Why this is not rendered automatically

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#14Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2379
Priority OCR formula candidatep”i=- cos a
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.

#15Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2385
Priority OCR formula candidategives, substituting cos a = -
Why this is not rendered automatically

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#16Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2585
Priority OCR formula candidateCI=E cos (i
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.

#17Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3237
Priority OCR formula candidatee = 2E sin
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.

#18Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3268
Priority OCR formula candidatee = 2E sin
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.

#19Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3284
Priority OCR formula candidateID=- sin w
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.

#20General Lectures on Electrical EngineeringLecture 14: Alternating Current Railway Motor- line 8744
Priority OCR formula candidatetion : armature turns m to field turns n = 2 -4- i ; and at 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.

#21General Lectures on Electrical EngineeringLecture 14: Alternating Current Railway Motor- line 9105
Priority OCR formula candidateNo = 2 N, it must be one-half the main field.
Why this is not rendered automatically

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#22General Lectures on Electrical EngineeringLecture 14: Alternating Current Railway Motor- line 9181
Priority OCR formula candidateAt half synchronism, No = 2 ^’ ^^^ transformer field of
Why this is not rendered automatically

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#23General Lectures on Electrical EngineeringLecture 14: Alternating Current Railway Motor- line 9183
Priority OCR formula candidatethe commutating field required Fo = 2 F, and the short cir-
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.

#24General Lectures on Electrical EngineeringLecture 14: Alternating Current Railway Motor- line 9190
Priority OCR formula candidateFo = 2 ^» ^^^ the transformer field thus is four times larger
Why this is not rendered automatically

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#25Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2215
Priority OCR formula candidatee2 = Ecos (0+co)
Why this is not rendered automatically

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#26Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2241
Priority OCR formula candidatez = r2+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.

#27Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2352
Priority OCR formula candidate: p = a small quantity ; these additional terms in (3) and (4) are
Why this is not rendered automatically

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#28Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2440
Priority OCR formula candidatefor a = 0, that is, in the (theoretical)
Why this is not rendered automatically

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#29Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2461
Priority OCR formula candidate- — =- sin a (1
Why this is not rendered automatically

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#30Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2545
Priority OCR formula candidatez= Vr 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.

#31Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2588
Priority OCR formula candidatee 2 = E cos (1+s)
Why this is not rendered automatically

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#32Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2596
Priority OCR formula candidate= E<cos (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.

#33Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 2632
Priority OCR formula candidatez= Vr 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.

#34Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3014
Priority OCR formula candidate- cos (2s0 = a)
Why this is not rendered automatically

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#35Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3252
Priority OCR formula candidatee 2 = E cos (0+w)
Why this is not rendered automatically

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#36Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3557
Priority OCR formula candidatex2 = 2x1 + x, OCR candidate
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.

#37Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3724
Priority OCR formula candidateXi = xn+Xi2 = total self inductive reactance of alternators or group
Why this is not rendered automatically

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#38Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3728
Priority OCR formula candidateXo=xn+x 2
Why this is not rendered automatically

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#39Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 3998
Priority OCR formula candidateXl =.458 +.405 = 863;
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.

#40Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 4010
Priority OCR formula candidateXl = .318+.347 = .665; M = 67xlO.
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.

#41Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 4030
Priority OCR formula candidatex 2 = 4.95; Xl =.325+.168 = .493; M = 78xl0 6
Why this is not rendered automatically

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#42Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 4036
Priority OCR formula candidateXl = .214+.168 = .382:
Why this is not rendered automatically

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#43Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 4161
Priority OCR formula candidatez = .84: 1^ = 78 xlO 6
Why this is not rendered automatically

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#44Investigation of Some Trouble in the Generating System of the Commonwealth Edison Co.Mathematical Appendix 5: Appendix: Synchronous Operation- line 4218
Priority OCR formula candidatez = 1.46: M^SOxlO
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.

#45Theory and Calculation of Alternating Current PhenomenaChapter 5: Symbouc Mbthod- line 2975
Priority OCR formula candidatethe system of ordinary numbers, this definition ofy = V- 1
Why this is not rendered automatically

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#46Theory and Calculation of Electric ApparatusChapter 1: Speed Control Of Induction Motors- line 2458
Priority OCR formula candidatetorque curve of the motor with short-circuited secondary, r = 0,
Why this is not rendered automatically

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#47Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3725
Priority OCR formula candidateE0 = E + Z„f„. (6)
Why this is not rendered automatically

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#48Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3768
Priority OCR formula candidateas = * (- H h - 1 I
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 ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3793
Priority OCR formula candidateci = - H 1- 6i
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.

#50Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3804
Priority OCR formula candidateEo = Ei{ai + jat + (r0 + jx0) (c, + jc,) }
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.

#51Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3817
Priority OCR formula candidateC = -=*=• (17)
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 ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3819
Priority OCR formula candidateto = e,\/ci* + c,*. (18)
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.

#53Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3842
Priority OCR formula candidateD = D2 + Dh (21)
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.

#54Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 3846
Priority OCR formula candidateP = (1 - s) Z>. (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.

#55Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4021
Priority OCR formula candidateda = a2 + roC2 + XqCi,
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.

#56Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4032
Priority OCR formula candidateto = e* Vci2 + cf,
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.

#57Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4036
Priority OCR formula candidateP = (1 - s) D,
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.

#58Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4038
Priority OCR formula candidatePo = e*1 (cidx + c2d2),
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.

#59Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4085
Priority OCR formula candidate/o = U + I* + U + Fo#. (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.

#60Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4091
Priority OCR formula candidatetf i = #* + jx, (It + /•), (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.

#61Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4165
Priority OCR formula candidateE = Es\ai+ jai + r:’ («. + jo*) + 3 ^ (l + 3 ?) + 3 ?
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.

#62Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4200
Priority OCR formula candidatec2 = 62g - 616,
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.

#63Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4221
Priority OCR formula candidatea2 = - a2 + ■ - t f2
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.

#64Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4225
Priority OCR formula candidateZo/o = #3 (di + jrf2) (r0 + ix0)
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.

#65Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4244
Priority OCR formula candidate#o = #3 (6i + jbt + /i + jf«)
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.

#66Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4248
Priority OCR formula candidate(Jz = b2 + /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.

#67Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4284
Priority OCR formula candidateU = ez Vrfi8 + _dS, (25)
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.

#68Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4305
Priority OCR formula candidateD = D, + D2 + D3, (31)
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.

#69Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4309
Priority OCR formula candidateP = (1 - s) Z>, (32)
Why this is not rendered automatically

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#70Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4319
Priority OCR formula candidateQ = «oio. (34)
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.

#71Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4582
Priority OCR formula candidateto = ez y/dx2 + dsS
Why this is not rendered automatically

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#72Theory and Calculation of Electric ApparatusChapter 2: Multiple Squirrel-Cage Induction Motor- line 4603
Priority OCR formula candidateD = !>! + D2 + /)3,
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.