Theory and Calculation of Alternating Current Phenomena Formula Map

Formula Map

Review layer: these are OCR/PDF-text formula candidates. Promote only after scan verification, mathematical transcription, and notation review.

300

Formula and equation candidates.

124

Strong formula candidates.

79

Reviewable relation candidates.

Read source textOpen the processed text reader for this source.Use chapter workbenchSee equations beside concepts, figures, glossary hits, and source snippets.Open visual mapSee promoted crops, figure candidates, and modern guide diagrams for the same source.Open equation atlasCompare this source against the full formula-family map.

Formula Families

Family	Candidates
Symbolic AC And Complex Quantities	132
Impedance, Reactance, And Admittance	86
General Equation Candidates	56
Engineering Mathematics Foundations	13
Waves, Lines, Radiation, And Frequency	7
Power, Energy, Work, And Efficiency	3
Transients, Oscillation, And Damping	1
Magnetism, Hysteresis, And Core Loss	1
Inductance, Capacity, And Stored Energy	1

Highest-Priority Candidates

Candidate	Family	OCR/PDF text	Routes
theory-calculation-alternating-current-phenomena-eq-candidate-0167 strong-formula-candidate	symbolic-ac	B = 6’ + jh” = 6(cos 13 + j sin /3)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0294 strong-formula-candidate	symbolic-ac	is r - j {x + Xo) = r = 0.6, x -{- Xo = 0, and tan do = 0; that	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0206 strong-formula-candidate	symbolic-ac	/, upon the e.m.f., or by IE cos d, where 9 = angle of time-	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0019 strong-formula-candidate	symbolic-ac	i = 1 sin 2 -wjl,	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0020 strong-formula-candidate	symbolic-ac	and i = I cos 2 tt/^.	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0021 strong-formula-candidate	symbolic-ac	i = /1 sin 2-KJ{t - ti) + h sin 4 7r/(i - ^2)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0026 strong-formula-candidate	symbolic-ac	i = Ai sin 2 tt/^ + A2 sin 4 x// + A3 sin 6 tt/^ + …	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0028 strong-formula-candidate	symbolic-ac	i = 7] sin 2 Trf(t - ti) + 1 3 sin 6 Trf(t - ts)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0029 strong-formula-candidate	symbolic-ac	i = A\ sin 2Tvft + A3 sin 6x/f + ^5 sin lOvr/^ + …	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0073 strong-formula-candidate	symbolic-ac	i = I cos (?> - ??2),	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0078 strong-formula-candidate	symbolic-ac	i = / cos (?? - /3)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0081 strong-formula-candidate	symbolic-ac	e = E cos (i? 4- a’) -	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0082 strong-formula-candidate	symbolic-ac	i = I cos {t} + /3’)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0086 strong-formula-candidate	symbolic-ac	i = I cos (?? - /3)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0108 strong-formula-candidate	symbolic-ac	Ea = V{E COS 6 4- /r)2 + (E sin 6 + Ixy.	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0133 strong-formula-candidate	symbolic-ac	h = 7 sin ^ is the vertical component of the sine wave.	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0142 strong-formula-candidate	symbolic-ac	j’ = - 1,	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0144 strong-formula-candidate	symbolic-ac	system of ordinary numbers, this definition of j = V - 1 does	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0151 strong-formula-candidate	symbolic-ac	I = {a + a’) +j(6 + 6’).	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0164 strong-formula-candidate	symbolic-ac	or e.o = \/(e + ir)- + {ix^, tan ^o = - 77^-	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0168 strong-formula-candidate	symbolic-ac	0 = 0’+ jc” = c(cos T + j sin 7)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0169 strong-formula-candidate	symbolic-ac	^ = -[cos (a + |3 - 7) + j sin (a + |8 - 7)],	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0198 strong-formula-candidate	symbolic-ac	c = OC cos (0 - 0o).	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0208 strong-formula-candidate	symbolic-ac	i = I cos’ (?9 - 0)	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0001 strong-formula-candidate	general-equation-candidates	1. Ohm’s law: i = -, where r, the resistance, is a constant	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0002 strong-formula-candidate	power-energy	2. Joule’s law: P = ^^r, where P is the power, or the rate at	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0070 strong-formula-candidate	symbolic-ac	If now the time, t, and thus the angle, ^ = 10 A = 2ir - (where	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0094 strong-formula-candidate	symbolic-ac	reactance, x = 2 irfL - where / = fre-	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0153 strong-formula-candidate	symbolic-ac	If L is the inductance, and x = 2x/L the inductive react-	source workbench
theory-calculation-alternating-current-phenomena-eq-candidate-0156 strong-formula-candidate	symbolic-ac	hence, since j^ = - 1	source workbench