Theory and Calculation of Alternating Current Phenomena Formula Map

Formula Map

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300

Formula and equation candidates.

103

Strong formula candidates.

97

Reviewable relation candidates.

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Formula Families

Family	Candidates
General Equation Candidates	105
Inductance, Capacity, And Stored Energy	78
Impedance, Reactance, And Admittance	57
Symbolic AC And Complex Quantities	39
Waves, Lines, Radiation, And Frequency	9
Magnetism, Hysteresis, And Core Loss	4
Power, Energy, Work, And Efficiency	3
Apparatus, Machines, And Power Systems	2
Transients, Oscillation, And Damping	2
Engineering Mathematics Foundations	1

Highest-Priority Candidates

Candidate	Family	OCR/PDF text	Routes
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0001 strong-formula-candidate	symbolic-ac	1.) Ohm’s law : i = e j r, where r, the resistance, is a	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0161 strong-formula-candidate	symbolic-ac	but E = E^y I^E^j z. If x^ > - 2,t-, it raises, if ;r < - 2 jr,	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0251 strong-formula-candidate	symbolic-ac	a maximum for dP^j db = 0, that is, according to § 61, if -	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0016 strong-formula-candidate	symbolic-ac	/ = / sin =^ (/ - A) = /sin 2 tt A” (/ - A) ;	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0022 strong-formula-candidate	symbolic-ac	i = Ai sin 2 vNt + A, sin 4 ttNI + A, sin C irNl + …	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0056 strong-formula-candidate	symbolic-ac	Thus, for instance, at the amplitude AOB^ == </>j = 2ir/j/ T’	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0077 strong-formula-candidate	symbolic-ac	100 volts, and /j = 75 amperes, for a non-inductive secon-	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0086 strong-formula-candidate	symbolic-ac	$Fo = V^H^i’ + 2 IFSFi sin Wi ,	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0176 strong-formula-candidate	symbolic-ac	is r - y (.r + ;r^) = r = .6, x + x^ = 0, and tan w^ = ;	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0198 strong-formula-candidate	symbolic-ac	X = .9, X = Oy X = - .9, and Z^ = .3 -j .4.	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0255 strong-formula-candidate	symbolic-ac	this case, a = ::^j 2 r,,, while in a continuous-current circuit	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0002 strong-formula-candidate	power-energy	2.) Joule’s law : P= i^r, where P is the rate at which	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0008 strong-formula-candidate	inductance-capacity	circuits. Hence the inductance is L = ^ / 1 = n^ / iR.	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0012 strong-formula-candidate	general-equation-candidates	posed, hence, i = 2ir NCe the current passing into the con-	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0030 strong-formula-candidate	general-equation-candidates	B^ the sine varies from to OB = 1. Hence the average	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0063 strong-formula-candidate	impedance-admittance	resistance, r, and the reactance, x = 2irNLy - where A^ =	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0123 strong-formula-candidate	impedance-admittance	1.) If r = oc , or ^ = 00 , since in this case no current	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0126 strong-formula-candidate	impedance-admittance	2.) If r = 0, since in this case the current which passes	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0127 strong-formula-candidate	impedance-admittance	1.) If ^ = Qo , or r = 00 .	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0128 strong-formula-candidate	impedance-admittance	2.) If.r=0.	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0129 strong-formula-candidate	impedance-admittance	hence, zY = (^’ + ^ (^’ + ^^ = 1 ;	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0135 strong-formula-candidate	impedance-admittance	a maximum for r =x, where ^ = 1 / 2r is equal to the	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0162 strong-formula-candidate	inductance-capacity	d.) If ;r = 0, that is, if the receiver circuit is non-	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0174 strong-formula-candidate	symbolic-ac	where J? = 100 volts again ; and for x^> 1.6 the voltage	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0185 strong-formula-candidate	inductance-capacity	maximum for x^ = +10, x = - 1.0, and r = 0, where	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0272 strong-formula-candidate	general-equation-candidates	67. If tf = 1, that is, if the voltage at the receiver cir-	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0273 strong-formula-candidate	general-equation-candidates	If dr = 1 when ^ = 0, ^ =	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0282 strong-formula-candidate	general-equation-candidates	If ^^ = 2 r^, orjr^ = r^ V3, the maximum output, P =	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0011 strong-formula-candidate	impedance-admittance	and the ratio, e I i = 2 ir A^Ly is the magnetic reactance :	source workbench
theory-calculation-alternating-current-phenomena-1897-eq-candidate-0013 strong-formula-candidate	power-energy	5. In Joule’s law, P = /^r, r is not the true ohmic	source workbench