#1Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3525

(At the moment 0 = 0, let the \mathrm{e.m.f.} e = E \cos (0 - 00) be)

OCR source line

At the moment 0 = 0, let the e.m.f. e = E cos (0 - 00) be

#2Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3660

(i = io \cos (0 - 7) = io \cos 7 \cos <j> + i0 \sin 7 \sin)

OCR source line

i = io cos (0 - 7) = io cos 7 cos <j> + i0 sin 7 sin

#3Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4573

(e = 2;oCe-”’ \sin (0 =F co - 7) j)

OCR source line

e = 2;oCe-”’ sin (0 =F co - 7) j

#4Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 5086

(i = e~ ”’ J ai \cos </) \cos co + 6i \sin cf) \cos co + Ci \cos 0 \sin co)

OCR source line

i = e~ ”’ J ai cos </) cos co + 6i sin cf) cos co + Ci cos 0 sin co

#5Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3545

(Since e = E \cos (0 - 00) = impressed \mathrm{e.m.f.},)

OCR source line

Since e = E cos (0 - 00) = impressed e.m.f.,

#6Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3661

(i = -z | \cos (I? - 00- 0J- i~x° \cos (00 + OJ j (9))

OCR source line

i = -z | cos (I? - 00- 0J- i~x° cos (00 + OJ j (9)

#7Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3943

(if = 140 \cos 0.2 1 - 80 \sin 0.2 1,)

OCR source line

if = 140 cos 0.2 1 - 80 sin 0.2 1,

#8Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 2: The Electric Field- line 1035

(w=j*pdt, (10))

OCR source line

w=j*pdt, (10)

#9Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 2: The Electric Field- line 1232

(f = j (13))

OCR source line

f = j (13)

#10Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 2: The Electric Field- line 1339

(K = j^; (21))

OCR source line

K = j^; (21)

#11Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 2: The Electric Field- line 1440

((B = -j =/z JClinespercm2.)

OCR source line

(B = -j =/z JClinespercm2.

#12Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 2: The Electric Field- line 1446

(7 = -j = yG am-)

OCR source line

7 = -j = yG am-

#13Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3456

(io = eo y j = e02/o. (11))

OCR source line

io = eo y j = e02/o. (11)

#14Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 5: Single-Energy Tra.Nsient Of Ironclad Circuit- line 3462

((S!,J = 20,000 lines per cm^. *)

OCR source line

(S!,J = 20,000 lines per cm^. *

#15Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3543

(ii = IQ \cos 7 = initial transient current. (14))

OCR source line

ii = IQ cos 7 = initial transient current. (14)

#16Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3555

(e = e0 \sin (0 - 7), (15))

OCR source line

e = e0 sin (0 - 7), (15)

#17Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3559

(ei = - e0 \sin 7 = initial value of transient voltage. (16))

OCR source line

ei = - e0 sin 7 = initial value of transient voltage. (16)

#18Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3671

(i = i\ \cos 1/001 \sin - , (21))

OCR source line

i = i\ cos 1/001 sin - , (21)

#19Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3677

(e = e\ \cos - + z0ii \sin - , (22))

OCR source line

e = e\ cos - + z0ii sin - , (22)

#20Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 5: Single-Energy Tra.Nsient Of Ironclad Circuit- line 3688

(T = 2.92 - { 9.21 \log’^ , ,\ . + .921 \log’^ i ’ ^ ^)

OCR source line

T = 2.92 - { 9.21 log’^ , ,\ . + .921 log’^ i ’ ^ ^

#21Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 5: Single-Energy Tra.Nsient Of Ironclad Circuit- line 3694

(division with \log^^e = .4343.)

OCR source line

division with log^^e = .4343.

#22Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 5: Single-Energy Tra.Nsient Of Ironclad Circuit- line 3700

(t = im^\log’H- .507.)

OCR source line

t = im^log’H- .507.

#23Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3934

(e = e-3<S2000 \cos 0.2 1 + 3500 \sin 0.2 «},)

OCR source line

e = e-3<S2000 cos 0.2 1 + 3500 sin 0.2 «},

#24Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3944

(er = 2000 \cos 0.2 1 + 3500 \sin 0.2 1.)

OCR source line

er = 2000 cos 0.2 1 + 3500 sin 0.2 1.

#25Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3974

(^l = ^o \cos 7 = initial transient current. (14))

OCR source line

^l = ^o cos 7 = initial transient current. (14)

#26Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3986

(e = eo \sin (0 - 7), (15))

OCR source line

e = eo sin (0 - 7), (15)

#27Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3990

(ei = - 60 \sin 7 = initial value of transient voltage. (16))

OCR source line

ei = - 60 sin 7 = initial value of transient voltage. (16)

#28Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 3992

(ii = IQ \cos (</> - 7))

OCR source line

ii = IQ cos (</> - 7)

#29Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 3995

(ei = e0 \sin (0 - 7) l)

OCR source line

ei = e0 sin (0 - 7) l

#30Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4017

(e = - €Q \sin 7)

OCR source line

e = - €Q sin 7

#31Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4021

(i = loe-^\cos (0 - 7))

OCR source line

i = loe-^cos (0 - 7)

#32Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4057

(i = c<rui \cos (0 - 7) ) n 1 x)

OCR source line

i = c<rui cos (0 - 7) ) n 1 x

#33Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4089

(i = ^o \cos (0 - t) = io \cos y \cos 4> + io \sin y \sin 0)

OCR source line

i = ^o cos (0 - t) = io cos y cos 4> + io sin y sin 0

#34Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4100

(i = ii \cos 2/0^1 \sin-, (21))

OCR source line

i = ii cos 2/0^1 sin-, (21)

#35Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4112

(i = ce~ut \cos (0 T co - 7) ) ,17,)

OCR source line

i = ce~ut cos (0 T co - 7) ) ,17,

#36Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4251

(I = e~^^ < Zi \cos 2/0^1 sm -)

OCR source line

I = e~^^ < Zi cos 2/0^1 sm -

#37Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4344

({ = e-3^U40cos0.2^ -80 \sin 0.2^ J)

OCR source line

{ = e-3^U40cos0.2^ -80 sin 0.2^ J

#38Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4345

(e = e- ^‘S 2000 \cos 0.2 ^ + 3500 \sin 0)

OCR source line

e = e- ^‘S 2000 cos 0.2 ^ + 3500 sin 0

#39Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4357

(i’ = 140 \cos 0.2 t - 80 \sin 0.2 1,)

OCR source line

i’ = 140 cos 0.2 t - 80 sin 0.2 1,

#40Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4358

(e’ = 2000 \cos 0.2 i + 3500 \sin 0.2 1.)

OCR source line

e’ = 2000 cos 0.2 i + 3500 sin 0.2 1.

#41Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4409

(ii = Iq \cos (0 - 7))

OCR source line

ii = Iq cos (0 - 7)

#42Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4446

(e = eoe~ ^^ \sin (0 - 7))

OCR source line

e = eoe~ ^^ sin (0 - 7)

#43Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4463

(e’ = -eo \sin 7)

OCR source line

e’ = -eo sin 7

#44Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4571

(i = ce-”’ \cos ((/) =F CO - 7) ) .)

OCR source line

i = ce-”’ COS ((/) =F CO - 7) ) .

#45Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4846

(lo = vto = -.J (32))

OCR source line

lo = vto = -.J (32)

#46Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 5089

(e = e- w« 5 di \cos <f) \cos co + W \sin </> \cos co + c/ \cos </> \sin co)

OCR source line

e = e- w« 5 di cos <f) cos co + W sin </> cos co + c/ cos </> sin co

#47Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 2: Introduction- line 2467

(i = I \cos (d - 45°),)

OCR source line

i = I cos (d - 45°),

#48Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 2949

(e = ir (l - -J; (10))

OCR source line

e = ir (l - -J; (10)

#49Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 2970

(t = 0, i = iv \log cii = 0, c = - ,)

OCR source line

t = 0, i = iv log cii = 0, c = - ,

#50Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 3325

(t = 26.8 \log $ - 17.9 \log (31.25 - 2.5 $) + 79.6 (37))

OCR source line

t = 26.8 log $ - 17.9 log (31.25 - 2.5 $) + 79.6 (37)

#51Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 3329

(t = 26.8 \log e - 17.9 \log (31.25 - 0.125 e) - 0.8. (38))

OCR source line

t = 26.8 log e - 17.9 log (31.25 - 0.125 e) - 0.8. (38)

#52Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 3459

(t = 0.04 \log e - 0.01333 \log (600 - e) - 0.08. (44))

OCR source line

t = 0.04 log e - 0.01333 log (600 - e) - 0.08. (44)

#53Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 3481

(t = 0.0274 \log e - 0.00073 \log (876 - e) - 0.1075, (45))

OCR source line

t = 0.0274 log e - 0.00073 log (876 - e) - 0.1075, (45)

#54Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3553

(i = 7 \cos (6 - d) + A£~a°, (2))

OCR source line

i = 7 cos (6 - d) + A£~a°, (2)

#55Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3580

(E \cos 00 - Ir \cos d - Ix \sin d = 0,)

OCR source line

E cos 00 - Ir cos d - Ix sin d = 0,

#56Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3582

(E \sin 00 - Ir \sin d + Ix \cos d = 0,)

OCR source line

E sin 00 - Ir sin d + Ix cos d = 0,

#57Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3638

(i = - \cos (0 - 00 - 0X) + As x , (7))

OCR source line

i = - cos (0 - 00 - 0X) + As x , (7)

#58Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 4: Inductance And Resistance In Alternating Current Circuits- line 3672

(i =— \cos (d - 60 - ^)-\cos (00 + 0,)- e* . (10))

OCR source line

i =— cos (d - 60 - ^)-cos (00 + 0,)- e* . (10)

#59Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 4: Single-Energy Transients In Alternating Current Circuits- line 2600

(transient, starts with the value ij = mi0, and if eQ is the \mathrm{e.m.f.})

OCR source line

transient, starts with the value ij = mi0, and if eQ is the e.m.f.

#60Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 2768

(Let e0 = 125 volts = impressed \mathrm{e.m.f.} of the circuit, and)

OCR source line

Let e0 = 125 volts = impressed e.m.f. of the circuit, and

#61Theory and Calculation of Transient Electric Phenomena and OscillationsChapter 3: Inductance And Resistance In Continuous Current Circuits- line 2861

(\mathrm{e.m.f.}, and the constants of the circuit then are: e0 = 250)

OCR source line

e.m.f., and the constants of the circuit then are: e0 = 250

#62Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 1: Nature And Origin Of Transients- line 707

(where c = - - -r;1 = constant, and the minus sign is chosen, as)

OCR source line

where c = - - -r;1 = constant, and the minus sign is chosen, as

#63Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 3: Single-Energy Transients In Continuous Current Circuits- line 1898

(zero of time, Zo = 0, and equations (5) then assume the simpler)

OCR source line

zero of time, Zo = 0, and equations (5) then assume the simpler

#64Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 3: Single-Energy Transients In Continuous Current Circuits- line 2127

(zero of time, ^o = 0, and equations (5) then assume the simpler)

OCR source line

zero of time, ^o = 0, and equations (5) then assume the simpler

#65Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 4: Single-Energy Transients In Alternating Current Circuits- line 2617

(where L0 = inductance, r0 = total resistance of field-exciting cir-)

OCR source line

where L0 = inductance, r0 = total resistance of field-exciting cir-

#66Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3469

(io = eo2/o, where e0 = voltage between cable conductor and ground.)

OCR source line

io = eo2/o, where e0 = voltage between cable conductor and ground.

#67Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 5: Single-Energy Tra.Nsient Of Ironclad Circuit- line 3512

(where Q = a plus the reluctance of the air gap. Equation (1),)

OCR source line

where Q = a plus the reluctance of the air gap. Equation (1),

#68Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 3789

(This is correct only if g = 0, that is, the conductance, which rep-)

OCR source line

This is correct only if g = 0, that is, the conductance, which rep-

#69Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 6: Double-Energy Transients- line 4228

(This is correct only if g = 0, that is, the conductance, which rep-)

OCR source line

This is correct only if g = 0, that is, the conductance, which rep-

#70Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4400

(length Z0 = 4 Zi, and therefore the period tQ = cr0/o = 4 o-0/i, that)

OCR source line

length Z0 = 4 Zi, and therefore the period tQ = cr0/o = 4 o-0/i, that

#71Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4408

(the frequencies (2 k - 1)/0, where k = 1, 2, 3 …)

OCR source line

the frequencies (2 k - 1)/0, where k = 1, 2, 3 …

#72Elementary Lectures on Electric Discharges, Waves and Impulses, and Other TransientsLecture 7: Line Oscillations- line 4539

(tuting {t =F ^i) instead of t into the equations (11), where ^i is the)

OCR source line

tuting {t =F ^i) instead of t into the equations (11), where ^i is the

Transients, Oscillation, And Damping

Why This Family Matters

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