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Steinmetz Decoded

Waves, Lines, Radiation, And Frequency

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Why This Family Matters

Section titled “Why This Family Matters”

Routes equations connecting electric waves, propagation, light, transmission lines, and frequency.

354

candidate records in this family.

169

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.

#1Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7531
Priority OCR formula candidatepi = 6li = kli, (7)
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.

#2General Lectures on Electrical EngineeringLecture 6: Higher Harmonics Of The Generator Wave- line 3222
Priority OCR formula candidateIf m == number of phases, the higher harmonics : 2m - 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.

#3General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3624
Priority OCR formula candidate2g3 QQQ = ^ seconds; the frequency 587 cycles, and if 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.

#4Radiation, Light and IlluminationLecture 9: Measurement Of Light And Radiation- line 8720
Priority OCR formula candidateL -T- S = x2 -T- 7/2, where x and y are the two distances 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.

#5Theoretical Elements of Electrical EngineeringTheory Section 1: Magnetism and Electric Current- line 822
Priority OCR formula candidateline carrying 7 amperes of current, if Id = 0.82 cm. is the diam-
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 1458
Priority OCR formula candidate1. Since x’i’ has relative to xi the velocity f, it is, for a;’ = 0:ax - bt = 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.

#7Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2202
Priority OCR formula candidatebe V = Vi -{- V2 = 1.8c, or greater than the velocity 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.

#8Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2249
Priority OCR formula candidatevelocity V2, it is Xi = v^h, and substituting this in 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.

#9General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3633
Priority OCR formula candidateas for instance, lOO feet = ^230 ~ 52^ miles wave length,
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.

#10General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3728
Priority OCR formula candidatei5ioo + ^ + n^ + Wo = ^ -ond, so giving 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.

#11Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 859
Priority OCR formula candidatelw = 60 microcentimeters,* that is, 60 X 10~8 cm. (or about
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.

#12Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 860
Priority OCR formula candidate^<y^<5-<y in.) and since the speed is S = 3 X 1010 cm. the frequency
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.

#13Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 978
Priority OCR formula candidatemotions of very high speed, S = 3 X 1010 cm. per sec. in a hypo-
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.

#14Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1674
Priority OCR formula candidatemedium TF, only the distance CK = - 2 GH, and the wave front
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.

#15Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1690
Priority OCR formula candidateand a2 = angle of refraction, that is, the angle between the out-
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.

#16Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1703
Priority OCR formula candidateFH + DL = S, - S3; (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.

#17Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1750
Priority OCR formula candidateS = -L= , (5)
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.

#18Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1785
Priority OCR formula candidateVl = d*-, (9)
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.

#19Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1790
Priority OCR formula candidateSince for most media the permeability /JL = 1, for all except
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.

#20Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2827
Priority OCR formula candidateZ0 = 51.1, bluish green for very low intensity, curve (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.

#21Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2828
Priority OCR formula candidateZ0 = 53.7, yellowish green for medium intensity, curve (b).
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.

#22Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3976
Priority OCR formula candidatePr = kA (TV - ?V), (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.

#23Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3981
Priority OCR formula candidatek = 5 X 1(T12; (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.

#24Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3997
Priority OCR formula candidatePr = kA (T, - T2) (TV + T*T2 + 7\7y + 7y);
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.

#25Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4000
Priority OCR formula candidatePr = 4 kAT* (T, - T), (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.

#26Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4016
Priority OCR formula candidatestationary air A^ reaches values as high as fct = 25 X 10~12 to
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.

#27Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4027
Priority OCR formula candidatePr = kATf; (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.

#28Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4186
Priority OCR formula candidateP- f °°P (lw)dlw = Mr-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.

#29Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4205
Priority OCR formula candidatelmT =- = 0.284;
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.

#30Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4674
Priority OCR formula candidatek = bk0 = (1 - a) fcc,
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.

#31Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4703
Priority OCR formula candidateCurve II, for albedo a = 0.3, has the height 1 - a = 0.7 times
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.

#32Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4715
Priority OCR formula candidateconstant 1 - a = 0.4 times that of the black body. Colored
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.

#33Radiation, Light and IlluminationLecture 7: Flames As Illuminants- line 6953
Priority OCR formula candidatea = 4, corresponding to a non-luminous flame, as observed. In
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.

#34Radiation, Light and IlluminationLecture 7: Flames As Illuminants- line 6956
Priority OCR formula candidateatoms is a = 2.8, or b = 30, corresponding to a luminous non-
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.

#35Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7199
Priority OCR formula candidateintersect in a point which lies at I = - 0.125 cm. = - 0.05 in.
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.

#36Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7201
Priority OCR formula candidateconsists of a part, e0 = 30 (for the magnetite arc), which is con-
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.

#37Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7237
Priority OCR formula candidateconstant value of current: el = k^ (I + 0.12), as function 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.

#38Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7241
Priority OCR formula candidateei = TT1-’ (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.

#39Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7295
Priority OCR formula candidatewhich is equation (1), and herefrom, since e = e0 + eir follows
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.

#40Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7311
Priority OCR formula candidatek = 31 for magnetite (123 in inch measure),
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.

#41Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7336
Priority OCR formula candidatee0 = 36 volts, but I, = - 0.8 cm. = - 0.33 in.; that is, 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.

#42Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7419
Priority OCR formula candidatepart. With a series resistance of r = 10 ohms, a 1.8-cm. mag-
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.

#43Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7535
Priority OCR formula candidatee = e0 + ev
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.

#44Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7547
Priority OCR formula candidatee0 = 13 volts ; k = -y-
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.

#45Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7735
Priority OCR formula candidateL = k’li, (9)
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.

#46Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7739
Priority OCR formula candidateei = p] (10)
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.

#47Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7743
Priority OCR formula candidatee=e0 + ^ (11)
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.

#48Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7764
Priority OCR formula candidateL = - (pVi - ejVi), (13)
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.

#49Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7808
Priority OCR formula candidatei = 4: e = 75 volts, and I + l^ = 0.73 in., or about f-in. arc
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.

#50Radiation, Light and IlluminationLecture 9: Measurement Of Light And Radiation- line 9232
Priority OCR formula candidate10 deg. gives d = - - TT. This usually is done graphically.
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 3: Generation of E.m.f.- line 1214
Priority OCR formula candidate50%Q = 8.33 rev. per sec. Thus the frequency is/ = 4 X 8.33
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.

#52Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1420
Priority OCR formula candidate#o = E X \/2 = 273 volts per line;
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 Alternating Current PhenomenaChapter 1: Introduction- line 1231
Priority OCR formula candidatethe period of the wave, or N = 1 / T is the frequency 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.

#54Theory and Calculation of Electric CircuitsChapter 3: Magnetism- line 5812
Priority OCR formula candidateBelow ff = 3, p is not a straight line, but curved, due to the in-
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 3: Magnetism- line 5814
Priority OCR formula candidatestraight-line law is reached at the point Ci, at ff = 3, and the re-
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.

#56Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1657
Priority OCR formula candidateLet then Sl = speed of propagation in medium A, S2 = speed 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.

#57Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4179
Priority OCR formula candidatewhere a = 5 for normal temperature radiation or black body
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.

#58Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7368
Priority OCR formula candidatepoint, at zero arc length, or e0’ = 28 volts. This looks as if, 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.

#59General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3679
Priority OCR formula candidate- ’ - = 25,000. If now somewhere in the middle 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.

#60Radiation, Light and IlluminationLecture 4: Chemical And Physical Effects Of Radiation- line 3701
Priority OCR formula candidateand these free atoms then join existing molecules: 0 + 02 = 03,
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 Alternating Current PhenomenaChapter 5: Symbouc Mbthod- line 3039
Priority OCR formula candidate29. If /= / +ji’ is a sine wave of alternating current,
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.

#62Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 1600
Reviewable OCR relationappear as L = 0, that is, would vanish, while at a velocity
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.

#63Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2200
Reviewable OCR relationwith the same velocity, but in opposite direction, V2 = 0.9c.
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.

#64Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 1303
Reviewable OCR relationZero point chosen at c = 128 cycles per second.
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.

#65Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 1304
Reviewable OCR relationSpeed of radiation S = 3 X lu10 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.

#66Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1694
Reviewable OCR relationFDH = a, and LHD = a2 ;
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.

#67Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2464
Reviewable OCR relation1 to 2, but the change of sensation in the first case, log 1000 = 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.

#68Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2726
Reviewable OCR relationWave length lw = 67 60.5 57.5 50.5 47 . 43 x 10~fl
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.

#69Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2729
Reviewable OCR relationtensity … i0 = 0.06 0.0056 0.0029 0.00017 0.00012 0.00012
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.

#70Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2733
Reviewable OCR relationpower po = 10,000 1000 100 1 2 20
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.

#71Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2787
Reviewable OCR relationI = 45.0
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.

#72Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3972
Reviewable OCR relationtor and T2 = absolute temperature of the surrounding objects
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.