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Inductance, Capacity, And Stored Energy

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Why This Family Matters

Section titled “Why This Family Matters”

Routes equations involving field storage, charge, discharge, and frequency-dependent opposition.

329

candidate records in this family.

228

reviewable relation candidates.

6

sources represented.

Candidate Formula Cards

Section titled “Candidate Formula Cards”
#1Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4580
(Then, if E0 = impressed \mathrm{e.m.f.},-)
OCR source lineThen, if E0 = impressed E.M.F.,-
#2Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2088
(e-o.296 1 = 0.5, - 0.296 Mog e = \log 0.5, t =)
OCR source linee-o.296 1 = 0.5, - 0.296 Mog e = log 0.5, t =
#3Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4219
(for the constant impressed \mathrm{e.m.f.}, E0 = 100 ; for the con-)
OCR source linefor the constant impressed E.M.F., E0 = 100 ; for the con-
#4Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2087
((a) M strength: i = ~, hence (1 - €-°-29«0 = 0.5.)
OCR source line(a) M strength: i = ~, hence (1 - €-°-29«0 = 0.5.
#5Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2237
((d) If i = 0 at * = 0.0005, then)
OCR source line(d) If i = 0 at * = 0.0005, then
#6Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2243
((e) If t = - I = - 90 at t = 0.001, then)
OCR source line(e) If t = - I = - 90 at t = 0.001, then
#7Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1094
(circuits. Hence the inductance is L = $/ i = ;/2/(R.)
OCR source linecircuits. Hence the inductance is L = $/ i = ;/2/(R.
#8Theory and Calculation of Alternating Current PhenomenaChapter 1: Introduction- line 1354
(circuits. Hence the inductance is L = ^ / 1 = n^ / iR.)
OCR source linecircuits. Hence the inductance is L = ^ / 1 = n^ / iR.
#9Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3833
(but E = E0,I= E0/z. If x0 < - 2 x, it raises, if x0 > - Zv,)
OCR source linebut E = E0,I= E0/z. If x0 < - 2 x, it raises, if x0 > - Zv,
#10Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3852
(d.} If x = 0, that is, if the receiver circuit is non-)
OCR source lined.} If x = 0, that is, if the receiver circuit is non-
#11Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4251
(maximum for x0= +1.0, x = - 1.0, and r = 0, where)
OCR source linemaximum for x0= +1.0, x = - 1.0, and r = 0, where
#12Theory and Calculation of Alternating Current PhenomenaChapter 8: Capacity- line 4286
(d.) If ;r = 0, that is, if the receiver circuit is non-)
OCR source lined.) If ;r = 0, that is, if the receiver circuit is non-
#13Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4368
(since x = ~Vz2 - r2, if rr0 -f- x0 ~/z2 - r2 is a maximum.)
OCR source linesince x = ~Vz2 - r2, if rr0 -f- x0 ~\/z2 - r2 is a maximum.
#14Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4492
(f = rr0 + *0 Vs2 - r2 = maximum or minimum, if)
OCR source linef = rr0 + *0 Vs2 - r2 = maximum or minimum, if
#15Theory and Calculation of Alternating Current PhenomenaChapter 8: Capacity- line 4526
(maximum for x^ = +10, x = - 1.0, and r = 0, where)
OCR source linemaximum for x^ = +10, x = - 1.0, and r = 0, where
#16Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2001
(ei = E € L = i0re £ the generated \mathrm{e.m.f.})
OCR source lineei = E € L = i0re £ the generated e.m.f.
#17Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2004
(In this case, at t = 0, e\ = E, that is, the \mathrm{e.m.f.} does not rise.)
OCR source lineIn this case, at t = 0, e\ = E, that is, the e.m.f. does not rise.
#18Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2055
(after impressing the required \mathrm{e.m.f.} E = 230 volts will it take)
OCR source lineafter impressing the required e.m.f. E = 230 volts will it take
#19Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2061
(impressing the \mathrm{e.m.f.} E = 500 volts will it take for the field to)
OCR source lineimpressing the e.m.f. E = 500 volts will it take for the field to
#20Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2074
(the impressed \mathrm{e.m.f.} is E = 230, the final value of current)
OCR source linethe impressed e.m.f. is E = 230, the final value of current
#21Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3744
(IMPRESSED \mathrm{e.m.f.} CONSTANT, E0=IOO)
OCR source lineIMPRESSED E.M.F. CONSTANT, E0=IOO
#22Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4666
(IMPRESSED \mathrm{e.m.f.} CONSTANT, E0 = IOOO VOLTS.)
OCR source lineIMPRESSED E.M.F. CONSTANT, E0 = IOOO VOLTS.
#23Theoretical Elements of Electrical EngineeringTheory Section 5: Self-inductance and Mutual Inductance- line 1632
(L2 = inductance of the second circuit, and M = mutual induc-)
OCR source lineL2 = inductance of the second circuit, and M = mutual induc-
#24Theoretical Elements of Electrical EngineeringTheory Section 5: Self-inductance and Mutual Inductance- line 1675
(or Li = Si + - M L2 = Sz + - M,)
OCR source lineor Li = Si + - M L2 = Sz + - M,
#25Theoretical Elements of Electrical EngineeringTheory Section 5: Self-inductance and Mutual Inductance- line 1679
(or M2 = (Li - Si)(Lz - Sz).)
OCR source lineor M2 = (Li - Si)(Lz - Sz).
#26Theoretical Elements of Electrical EngineeringTheory Section 5: Self-inductance and Mutual Inductance- line 1751
(H = 0.4 TT/ = - - , and the flux in the zone dlx is)
OCR source lineH = 0.4 TT/ = - - , and the flux in the zone dlx is
#27Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 1873
(-’ «i = 0.)
OCR source line-’ «i = 0.
#28Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 1905
(ei = - = - 0.368 E.)
OCR source lineei = - = - 0.368 E.
#29Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2031
(iei = io2 (r + n) c L ;)
OCR source lineiei = io2 (r + n) c L ;
#30Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2078
(io = - = 6.95 amp. Thus the current at time t is)
OCR source lineio = - = 6.95 amp. Thus the current at time t is
#31Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2081
(t = * - 6)
OCR source linet = * - 6
#32Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2095
((2) To get io = 6.95 amp., with E = 500 volts, a resist-)
OCR source line(2) To get io = 6.95 amp., with E = 500 volts, a resist-
#33Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2099
(ance r = ^-f-= = 72 ohms, and thus a rheostat having a resist-)
OCR source lineance r = ^-f-= = 72 ohms, and thus a rheostat having a resist-
#34Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2105
(i = io (l € 2))
OCR source linei = io (l € 2)
#35Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2109
((a) i = ^, after t = 1.08 seconds.)
OCR source line(a) i = ^, after t = 1.08 seconds.
#36Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2113
((b) i = 0.9 i0, after i = 3.6 seconds.)
OCR source line(b) i = 0.9 i0, after i = 3.6 seconds.
#37Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2115
((3) Impressing E = 500 volts upon a circuit of r = 33.2,)
OCR source line(3) Impressing E = 500 volts upon a circuit of r = 33.2,
#38Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2150
(33. (5) A coil of resistance r = 0.002 ohm and inductance)
OCR source line33. (5) A coil of resistance r = 0.002 ohm and inductance
#39Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2151
(L = 0.005 mh., carrying current / = 90 amp., is short circuited.)
OCR source lineL = 0.005 mh., carrying current / = 90 amp., is short circuited.
#40Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2166
((6) i = 0.1 7, c-400< = 0.1, after t = 0.00576 second.)
OCR source line(6) i = 0.1 7, c-400< = 0.1, after t = 0.00576 second.
#41Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2169
(E = 1 volt is inserted in the circuit of this coil, in opposite direc-)
OCR source lineE = 1 volt is inserted in the circuit of this coil, in opposite direc-
#42Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2191
(Thus, - E + 61 = - E - L jt, the total \mathrm{e.m.f.};)
OCR source lineThus, - E + 61 = - E - L jt, the total e.m.f.;
#43Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2219
(At t = 0, i = /, thus c = / + -;)
OCR source lineAt t = 0, i = /, thus c = / + -;
#44Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2233
((6) i = o, e-400 « = 0.85, after t = 0.000405 second.)
OCR source line(6) i = o, e-400 « = 0.85, after t = 0.000405 second.
#45Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2235
((c) i = - I = - 90, e-400 « = 0.694, after t = 0.00091 second.)
OCR source line(c) i = - I = - 90, e-400 « = 0.694, after t = 0.00091 second.
#46Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2241
(E = joTITi = °-81 volt-)
OCR source lineE = joTITi = °-81 volt-
#47Theoretical Elements of Electrical EngineeringTheory Section 6: Self-inductance of Continuous-current Circuits- line 2247
(E = - = 0.91 volt.)
OCR source lineE = - = 0.91 volt.
#48Theoretical Elements of Electrical EngineeringTheory Section 7: Inductance in Alternating-current Circuits- line 2267
(or i = /osin (6 - 8’),)
OCR source lineor i = /osin (6 - 8’),
#49Theory and Calculation of Alternating Current PhenomenaChapter 3: Law Of Electro-Magnetic Induction- line 1667
(machine is E = 4«4>7V10~8 volts, independent of the num-)
OCR source linemachine is E = 4«4>7V10~8 volts, independent of the num-
#50Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3589
(and *%E = 0 in a closed circuit,)
OCR source lineand *%E = 0 in a closed circuit,
#51Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3625
(Z = r -jx, z = Vr2 + x’2,)
OCR source lineZ = r -jx, z = Vr2 + x’2,
#52Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3630
(Z + r0 = r + r0-jx\)
OCR source lineZ + r0 = r + r0-jx\
#53Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3653
(E = EnJ >* + *2 . Eo)
OCR source lineE = EnJ >* + *2 . Eo
#54Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3710
(a.) r0 = .2 ohm (Curve I.))
OCR source linea.) r0 = .2 ohm (Curve I.)
#55Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3711
(b.) r0 = .8 ohm (Curve II.))
OCR source lineb.) r0 = .8 ohm (Curve II.)
#56Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3713
(with values of reactance, x = V^2 - r2, for abscissae, from)
OCR source linewith values of reactance, x = V^2 - r2, for abscissae, from
#57Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3714
(x = + 1.0 to x = - 1.0 ohm.)
OCR source linex = + 1.0 to x = - 1.0 ohm.
#58Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3716
(As shown, / and E are smallest for x = 0, r = 1.0,)
OCR source lineAs shown, / and E are smallest for x = 0, r = 1.0,
#59Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3724
(For r0 = .8, and x = 0, x = + .8, x = - .8, the polar)
OCR source lineFor r0 = .8, and x = 0, x = + .8, x = - .8, the polar
#60Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3741
(Z = r - jx, z = -/r2 -|- x’2.)
OCR source lineZ = r - jx, z = -\/r2 -|- x’2.
#61Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3822
(c.) E = E0 , or the insertion of a series inductance, x0 ,)
OCR source linec.) E = E0 , or the insertion of a series inductance, x0 ,
#62Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3827
(^z*—2xx0 + x02 = 2;)
OCR source line^z*-\-2xx0 + x02 = 2;
#63Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3828
(or, x0 = - 2 x.)
OCR source lineor, x0 = - 2 x.
#64Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3902
(II. r=.6 X=H-,8)
OCR source lineII. r=.6 X=H-,8
#65Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 3904
(111. r=.e i=-.8)
OCR source line111. r=.e i=-.8
#66Theory and Calculation of Alternating Current PhenomenaChapter 8: Capacity- line 4024
(E^ = const. = 100 volts, -cr = 1 ohm, and -)
OCR source lineE^ = const. = 100 volts, -cr = 1 ohm, and -
#67Theory and Calculation of Alternating Current PhenomenaChapter 8: Capacity- line 4031
(X = + 1.0 to ;r = + 1.0 ohm.)
OCR source lineX = + 1.0 to ;r = + 1.0 ohm.
#68Theory and Calculation of Alternating Current PhenomenaChapter 8: Capacity- line 4033
(As shown, / and E are smallest for ;r = 0, r = 1.0,)
OCR source lineAs shown, / and E are smallest for ;r = 0, r = 1.0,
#69Theory and Calculation of Alternating Current PhenomenaChapter 8: Capacity- line 4041
(For r^ = .8 and x = 0,x = + .8, and x = - .8, the polar)
OCR source lineFor r^ = .8 and x = 0,x = + .8, and x = - .8, the polar
#70Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4153
(2=1.0, r= .6,^= .8(CurveII.))
OCR source line2=1.0, r= .6,^= .8(CurveII.)
#71Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4154
(2= 1.0, r= .6, AT= - .8 (Curve III.))
OCR source line2= 1.0, r= .6, AT= - .8 (Curve III.)
#72Theory and Calculation of Alternating Current PhenomenaChapter 8: Circuits Containing Resistance, Inductance, And Capacity- line 4173
(This rise is a maximum for x0 = i .8, or, x0 = - x (the)
OCR source lineThis rise is a maximum for x0 = i .8, or, x0 = - x (the