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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”
#1Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7531
(\pi = 6li = kli, (7))
OCR source linepi = 6li = kli, (7)
#2General Lectures on Electrical EngineeringLecture 6: Higher Harmonics Of The Generator Wave- line 3222
(If m == number of phases, the higher harmonics : 2m - i)
OCR source lineIf m == number of phases, the higher harmonics : 2m - i
#3General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3624
(2g3 QQQ = ^ seconds; the frequency 587 cycles, and if this)
OCR source line2g3 QQQ = ^ seconds; the frequency 587 cycles, and if this
#4Radiation, Light and IlluminationLecture 9: Measurement Of Light And Radiation- line 8720
(L -T- S = x2 -T- 7/2, where x and y are the two distances of the)
OCR source lineL -T- S = x2 -T- 7/2, where x and y are the two distances of the
#5Theoretical Elements of Electrical EngineeringTheory Section 1: Magnetism and Electric Current- line 822
(line carrying 7 amperes of current, if Id = 0.82 cm. is the diam-)
OCR source lineline carrying 7 amperes of current, if Id = 0.82 cm. is the diam-
#6Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 1458
(1. Since x’i’ has relative to xi the velocity f, it is, for a;’ = 0:ax - bt = 0,)
OCR source line1. Since x’i’ has relative to xi the velocity f, it is, for a;’ = 0:ax - bt = 0,
#7Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2202
(be V = Vi -{- V2 = 1.8c, or greater than the velocity of)
OCR source linebe V = Vi -{- V2 = 1.8c, or greater than the velocity of
#8Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2249
(velocity V2, it is Xi = v^h, and substituting this in the)
OCR source linevelocity V2, it is Xi = v^h, and substituting this in the
#9General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3633
(as for instance, lOO feet = ^230 ~ 52^ miles wave length,)
OCR source lineas for instance, lOO feet = ^230 ~ 52^ miles wave length,
#10General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3728
(i5ioo + ^ + n^ + Wo = ^ -ond, so giving a)
OCR source linei5ioo + ^ + n^ + Wo = ^ -ond, so giving a
#11Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 859
(lw = 60 microcentimeters,* that is, 60 X 10~8 cm. (or about)
OCR source linelw = 60 microcentimeters,* that is, 60 X 10~8 cm. (or about
#12Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 860
(^<y^<5-<y in.) and since the speed is S = 3 X 1010 cm. the frequency)
OCR source line^<y^<5-<y in.) and since the speed is S = 3 X 1010 cm. the frequency
#13Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 978
(motions of very high speed, S = 3 X 1010 cm. per sec. in a hypo-)
OCR source linemotions of very high speed, S = 3 X 1010 cm. per sec. in a hypo-
#14Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1674
(medium TF, only the distance CK = - 2 GH, and the wave front)
OCR source linemedium TF, only the distance CK = - 2 GH, and the wave front
#15Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1690
(and a2 = angle of refraction, that is, the angle between the out-)
OCR source lineand a2 = angle of refraction, that is, the angle between the out-
#16Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1703
(FH + DL = S, - S3; (2))
OCR source lineFH + DL = S, - S3; (2)
#17Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1750
(S = -L= , (5))
OCR source lineS = -L= , (5)
#18Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1785
(Vl = d*-, (9))
OCR source lineVl = d*-, (9)
#19Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1790
(Since for most media the permeability /JL = 1, for all except)
OCR source lineSince for most media the permeability /JL = 1, for all except
#20Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2827
(Z0 = 51.1, bluish green for very low intensity, curve (a).)
OCR source lineZ0 = 51.1, bluish green for very low intensity, curve (a).
#21Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2828
(Z0 = 53.7, yellowish green for medium intensity, curve (b).)
OCR source lineZ0 = 53.7, yellowish green for medium intensity, curve (b).
#22Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3976
(Pr = kA (TV - ?V), (1))
OCR source linePr = kA (TV - ?V), (1)
#23Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3981
(k = 5 X 1(T12; (2))
OCR source linek = 5 X 1(T12; (2)
#24Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3997
(Pr = kA (T, - T2) (TV + T*T2 + 7\7y + 7y);)
OCR source linePr = kA (T, - T2) (TV + T*T2 + 7\7y + 7y);
#25Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4000
(Pr = 4 kAT* (T, - T), (3))
OCR source linePr = 4 kAT* (T, - T), (3)
#26Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4016
(stationary air A^ reaches values as high as fct = 25 X 10~12 to)
OCR source linestationary air A^ reaches values as high as fct = 25 X 10~12 to
#27Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4027
(Pr = kATf; (4))
OCR source linePr = kATf; (4)
#28Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4186
(P- f °°P (lw)dlw = Mr-1;)
OCR source lineP- f °°P (lw)dlw = Mr-1;
#29Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4205
(lmT =- = 0.284;)
OCR source linelmT =- = 0.284;
#30Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4674
(k = bk0 = (1 - a) fcc,)
OCR source linek = bk0 = (1 - a) fcc,
#31Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4703
(Curve II, for albedo a = 0.3, has the height 1 - a = 0.7 times)
OCR source lineCurve II, for albedo a = 0.3, has the height 1 - a = 0.7 times
#32Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4715
(constant 1 - a = 0.4 times that of the black body. Colored)
OCR source lineconstant 1 - a = 0.4 times that of the black body. Colored
#33Radiation, Light and IlluminationLecture 7: Flames As Illuminants- line 6953
(a = 4, corresponding to a non-luminous flame, as observed. In)
OCR source linea = 4, corresponding to a non-luminous flame, as observed. In
#34Radiation, Light and IlluminationLecture 7: Flames As Illuminants- line 6956
(atoms is a = 2.8, or b = 30, corresponding to a luminous non-)
OCR source lineatoms is a = 2.8, or b = 30, corresponding to a luminous non-
#35Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7199
(intersect in a point which lies at I = - 0.125 cm. = - 0.05 in.)
OCR source lineintersect in a point which lies at I = - 0.125 cm. = - 0.05 in.
#36Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7201
(consists of a part, e0 = 30 (for the magnetite arc), which is con-)
OCR source lineconsists of a part, e0 = 30 (for the magnetite arc), which is con-
#37Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7237
(constant value of current: el = k^ (I + 0.12), as function of)
OCR source lineconstant value of current: el = k^ (I + 0.12), as function of
#38Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7241
(ei = TT1-’ (1)
OCR source lineei = TT1-’ (1
#39Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7295
(which is equation (1), and herefrom, since e = e0 + eir follows)
OCR source linewhich is equation (1), and herefrom, since e = e0 + eir follows
#40Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7311
(k = 31 for magnetite (123 in inch measure),)
OCR source linek = 31 for magnetite (123 in inch measure),
#41Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7336
(e0 = 36 volts, but I, = - 0.8 cm. = - 0.33 in.; that is, a)
OCR source linee0 = 36 volts, but I, = - 0.8 cm. = - 0.33 in.; that is, a
#42Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7419
(part. With a series resistance of r = 10 ohms, a 1.8-cm. mag-)
OCR source linepart. With a series resistance of r = 10 ohms, a 1.8-cm. mag-
#43Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7535
(e = e0 + ev)
OCR source linee = e0 + ev
#44Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7547
(e0 = 13 volts ; k = -y-)
OCR source linee0 = 13 volts ; k = -y-
#45Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7735
(L = k’li, (9))
OCR source lineL = k’li, (9)
#46Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7739
(ei = p] (10))
OCR source lineei = p] (10)
#47Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7743
(e=e0 + ^ (11))
OCR source linee=e0 + ^ (11)
#48Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7764
(L = - (pVi - ejVi), (13))
OCR source lineL = - (pVi - ejVi), (13)
#49Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7808
(i = 4: e = 75 volts, and I + l^ = 0.73 in., or about f-in. arc)
OCR source linei = 4: e = 75 volts, and I + l^ = 0.73 in., or about f-in. arc
#50Radiation, Light and IlluminationLecture 9: Measurement Of Light And Radiation- line 9232
(10 ^\circ gives d = - - TT. This usually is done graphically.)
OCR source line10 deg. gives d = - - TT. This usually is done graphically.
#51Theoretical Elements of Electrical EngineeringTheory Section 3: Generation of E.m.f.- line 1214
(50%Q = 8.33 rev. per sec. Thus the frequency is/ = 4 X 8.33)
OCR source line50%Q = 8.33 rev. per sec. Thus the frequency is/ = 4 X 8.33
#52Theoretical Elements of Electrical EngineeringTheory Section 4: Power and Effective Values- line 1420
(#o = E X /2 = 273 volts per line;)
OCR source line#o = E X \/2 = 273 volts per line;
#53Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1231
(the period of the wave, or N = 1 / T is the frequency or)
OCR source linethe period of the wave, or N = 1 / T is the frequency or
#54Theory and Calculation of Electric CircuitsChapter 3: Magnetism- line 5812
(Below ff = 3, p is not a straight line, but curved, due to the in-)
OCR source lineBelow ff = 3, p is not a straight line, but curved, due to the in-
#55Theory and Calculation of Electric CircuitsChapter 3: Magnetism- line 5814
(straight-line law is reached at the point Ci, at ff = 3, and the re-)
OCR source linestraight-line law is reached at the point Ci, at ff = 3, and the re-
#56Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1657
(Let then Sl = speed of propagation in medium A, S2 = speed of)
OCR source lineLet then Sl = speed of propagation in medium A, S2 = speed of
#57Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 4179
(where a = 5 for normal temperature radiation or black body)
OCR source linewhere a = 5 for normal temperature radiation or black body
#58Radiation, Light and IlluminationLecture 8: Arc Lamps And Arc Lighting- line 7368
(point, at zero arc length, or e0’ = 28 volts. This looks as if, of)
OCR source linepoint, at zero arc length, or e0’ = 28 volts. This looks as if, of
#59General Lectures on Electrical EngineeringLecture 7: High Frequency Oscillations And Surges- line 3679
(- ’ - = 25,000. If now somewhere in the middle of this)
OCR source line- ’ - = 25,000. If now somewhere in the middle of this
#60Radiation, Light and IlluminationLecture 4: Chemical And Physical Effects Of Radiation- line 3701
(and these free atoms then join existing molecules: 0 + 02 = 03,)
OCR source lineand these free atoms then join existing molecules: 0 + 02 = 03,
#61Theory and Calculation of Alternating Current PhenomenaChapter 5: Symbouc Mbthod- line 3039
(29. If /= / +ji’ is a sine wave of alternating current,)
OCR source line29. If /= / +ji’ is a sine wave of alternating current,
#62Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 1600
(appear as L = 0, that is, would vanish, while at a velocity)
OCR source lineappear as L = 0, that is, would vanish, while at a velocity
#63Four Lectures on Relativity and SpaceLecture 2: Conclusions From The Relativity Theory- line 2200
(with the same velocity, but in opposite direction, V2 = 0.9c.)
OCR source linewith the same velocity, but in opposite direction, V2 = 0.9c.
#64Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 1303
(Zero point chosen at c = 128 cycles per second.)
OCR source lineZero point chosen at c = 128 cycles per second.
#65Radiation, Light and IlluminationLecture 1: Nature And Different Forms Of Radiation- line 1304
(Speed of radiation S = 3 X lu10 cm.)
OCR source lineSpeed of radiation S = 3 X lu10 cm.
#66Radiation, Light and IlluminationLecture 2: Relation Of Bodies To Radiation- line 1694
(FDH = a, and LHD = a2 ;)
OCR source lineFDH = a, and LHD = a2 ;
#67Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2464
(1 to 2, but the change of sensation in the first case, \log 1000 = 3,)
OCR source line1 to 2, but the change of sensation in the first case, log 1000 = 3,
#68Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2726
(Wave length lw = 67 60.5 57.5 50.5 47 . 43 x 10~fl)
OCR source lineWave length lw = 67 60.5 57.5 50.5 47 . 43 x 10~fl
#69Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2729
(tensity … i0 = 0.06 0.0056 0.0029 0.00017 0.00012 0.00012)
OCR source linetensity … i0 = 0.06 0.0056 0.0029 0.00017 0.00012 0.00012
#70Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2733
(power po = 10,000 1000 100 1 2 20)
OCR source linepower po = 10,000 1000 100 1 2 20
#71Radiation, Light and IlluminationLecture 3: Physiological Effects Of Radiation- line 2787
(I = 45.0)
OCR source lineI = 45.0
#72Radiation, Light and IlluminationLecture 5: Temperature Radiation- line 3972
(tor and T2 = absolute temperature of the surrounding objects)
OCR source linetor and T2 = absolute temperature of the surrounding objects