Theory and Calculation of Alternating Current Phenomena Formula Map

Formula Map

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300

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116

Strong formula candidates.

78

Reviewable relation candidates.

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Formula Families

Family	Candidates
Inductance, Capacity, And Stored Energy	119
Symbolic AC And Complex Quantities	64
General Equation Candidates	43
Impedance, Reactance, And Admittance	39
Engineering Mathematics Foundations	13
Waves, Lines, Radiation, And Frequency	11
Magnetism, Hysteresis, And Core Loss	5
Power, Energy, Work, And Efficiency	3
Transients, Oscillation, And Damping	2
Apparatus, Machines, And Power Systems	1

Highest-Priority Candidates

Candidate	Family	OCR/PDF text	Routes
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0240 strong-formula-candidate	symbolic-ac	is r - j (x -f x0} = r = .6, x + x0 = 0, and tan S>0 = 0 ;	source workbench
theory-calculation-alternating-current-phenomena-1900-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-1900-eq-candidate-0131 strong-formula-candidate	symbolic-ac	or, if E = e -\-je’ is the impressed E.M.F., and 7 = i ’ -\- ji’	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0156 strong-formula-candidate	apparatus-systems	E.M.F. of the generator OE°, where Z0 = r0 - jx0 = inter-	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0281 strong-formula-candidate	inductance-capacity	Then, if E0 = impressed E.M.F.,-	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0032 strong-formula-candidate	symbolic-ac	ty : i = 7i sin 2 TT N(t - A) + 7, sin 6 TT N (t - /3)	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0087 strong-formula-candidate	symbolic-ac	E0 = V(^ cos w + Ir)2 -f- (E sin w + Ix)z.	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0113 strong-formula-candidate	symbolic-ac	ffo = Vfr2 + S^2 + 20^ sin Wi,	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0123 strong-formula-candidate	symbolic-ac	since y’2 = - 1, j = V- 1 ;	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0142 strong-formula-candidate	symbolic-ac	- /V) , tan w0 =	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0219 strong-formula-candidate	symbolic-ac	Z -jx0 = r-j(x +#e).	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0231 strong-formula-candidate	symbolic-ac	circuit •- z= 1 Qj r = 1>0> x= 0 (Curve j)	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0244 strong-formula-candidate	inductance-capacity	for the constant impressed E.M.F., E0 = 100 ; for the con-	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0264 strong-formula-candidate	symbolic-ac	&Q = ro JXoi ZQ = V f0 -j- Xo ,	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0002 strong-formula-candidate	power-energy	2.) Joule’s law: P= izr, where P is the rate at which	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0003 strong-formula-candidate	power-energy	3.) The power equation : P0 = ei, where P0 is the	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0011 strong-formula-candidate	inductance-capacity	circuits. Hence the inductance is L = $/ i = ;/2/(R.	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0159 strong-formula-candidate	symbolic-ac	Let OIV Oly Of3 = three-phase currents in the receiver	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0164 strong-formula-candidate	impedance-admittance	the term conductance, g = 1 / r. If, then, a number of con-	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0170 strong-formula-candidate	impedance-admittance	1.) If r = QO , or x = oo , since in this case no current	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0173 strong-formula-candidate	impedance-admittance	2.) If r = 0, since in this case the current which passes	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0174 strong-formula-candidate	impedance-admittance	1.) If x = oo , or r = oo .	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0181 strong-formula-candidate	impedance-admittance	a maximum for r = x, where g - 1 / 2 r is equal to the	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0224 strong-formula-candidate	inductance-capacity	but E = E0,I= E0/z. If x0 < - 2 x, it raises, if x0 > - Zv,	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0225 strong-formula-candidate	inductance-capacity	d.} If x = 0, that is, if the receiver circuit is non-	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0255 strong-formula-candidate	inductance-capacity	maximum for x0= +1.0, x = - 1.0, and r = 0, where	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0269 strong-formula-candidate	inductance-capacity	since x = ~Vz2 - r2, if rr0 -f- x0 ~\/z2 - r2 is a maximum.	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0271 strong-formula-candidate	inductance-capacity	f = rr0 + *0 Vs2 - r2 = maximum or minimum, if	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0018 strong-formula-candidate	symbolic-ac	P0 = ei cos <£.	source workbench
theory-calculation-alternating-current-phenomena-1900-eq-candidate-0088 strong-formula-candidate	impedance-admittance	E0> a resistance E.M.F., Er = fr, a reactance E.M.F.,	source workbench