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Formulario de Circuitos Eléctricos Por: Xavier Fuentes Long [M]
M 1
Km 0,001
Pulg 39,3701 39,3701
Pie 3,28084
Mill Terr 0,006621
Mill Mill Mar 0,0005399
R=ρ(L/A) R=φL/A G=1/R G = γ A / L R2 = R1 [1+ ά T2 - T1 ] Donde: R2: resistencia eléctrica del conductor a la T2, [ Ω] R1: resistencia eléctrica del conductor a la T1, [ Ω] T1: temperatura inicial del conductor, ºC T2: temperatura final del conductor, ºC
ά : coeficiente de temperatura de la resistencia, ºC-1
∆R = αRo∆t α = ∆R/ Ro∆t A = π (r)2 Material Aluminio Carbón Cobre Constatan Nicromo Plata Platino Plomo Tungsteno
Resistividad(Ωmm2/m) a 20º C O,028 40,00 0,0172 0,489 1,5 0,00159 0,111 0,206 0,0549
Coeficiente de temperatura y resistividad eléctrica de diversos materiales a 20 ºC. Material Coef térmico(ºC -1) Resstividad eléct(.m) Plata 0,0038 1,59 x 10-8 Cobre 0,00393 1,7 x 10-8 Oro 0,0034 2,44 x 10-8 Aluminio 0,00391 2,82 x 10-8 Tungsteno 0,005 5,6 x 10-8 Níquel 0,006 6,8 x 10-8 Hierro 0,0055 10 x 10-8 Constantán 0,000008 Nicromo 0,00044 1,50 x 10-6 Carbono -0,005 3,5 x 10-5
Formulario de Maquinas
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Paralelo V (el mismo): VT=V1=V2=V3 I (diferente): I=V/R Req=R1R2/(R1+R2) Req=1/[(1/R1)+(1/R2)+(1/R3)]
Serie I (el mismo): IT=I1=I2=I3 V (diferente): V=RI VT=V1+V2 Req=R1+R2+R3 P-F-P-F
IT=VT/Req PREJIJOS Nombre Deci Centi Mili Micro Nano Pico Femto Atto Zepto Octo
Simb d c m u n p f a z y
Factor 10-1 10-2 10-3 10-6 10-9 10-12 10-15 10-18 10-21 10-24
Nombre Deca Hecto Kilo Mega Giga Tera Peta Exa Zeta Lota
Simb da H K M G T P E Z y
De Δ→ Y
Ra=R1R3/(R1+R2+R3) Rb=R1R2/(R1+R2+R3) Rc=R2R3/(R1+R2+R3)
De Y→ Δ
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Ra=[(R1R2+R2R3+R3R1)/R3]=R1+R2+(R1R2/R3) Rb=[(R1R2+R2R3+R3R1)/R1]=R2+R3+(R2R3/R1) Useful Not useful Rc=[(R1R2+R2R3+R3R1)/R2]=R1+R3+(R1R3/R2)
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POR MALLAS DE MAXWELL
Sheet Music
FIGURA 3 I1= ia – ia’
I2= ib – ib’
I3= ic – ic’
I4= id – id’
I4= ie
M. abcda:
M. fadef: 12-3i2-12i2+3i1=0 10-4i1-3i1-12+3i2=0 ②-15i2+3i1=-12 ①-7i1+3i2=2 Rama: i1-i2+i3=0
FIGURA 4 *Se obtiene 4 Ec. Ej. Anulo la de 12 V y los demás Voltajes operan * I1=( i1a+i1b+i1c+i1d)/3 * I2=( i2a+i2b+i2c+i2d)/3 * I3=( i3a+i3b+i3c+i3d)/3 POR NODOS
You're Reading a Preview M. abcdha: -3i1-24-2i1-5i1+5i2=0 ①-10i1+5i2=24
Malla fgahf: -1,5i2+12-5i2+5i3=0 Unlock full access with a free trial. ②-6,5i2+5i3=-12 M. hdefh: -5i3+12-5i3+5i2+5i1=0 i1+i2-i3=0 ③5i1+5i2-10i3= -12
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i1=VR1/R1=(VA-VN)/R1; i2=VR3/R3=(VB-VN)/R3; i3=VR2/R2 EJERCICIO
Malla abgha: +Va-i1(R1+R2)+i2R2= 0 Malla bcfgb: -i2(R2+R3+R4)-i2R2+i2R2=0 Malla cdefc: -i3(R4+R5)-i2R4+Vb=0
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POR SUPERPOSICIÓN
POR RAMA: i1-i2-i3=0 POR MALLA:
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POR NODOS
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−1 8 + 1−2 2 − 14 =0 1−2 2 − 14 =0 2 − 10+5 i1-i2-i3=0
I2-i3-i5=0
MATRICEZ
△ 1=△ 1 12 2 1=1121 221222 2=11211121 122212 12 1222 1323 You're Reading a Preview 1= 11213 321222 331323 [31 32 33] Download With Free Trial △= 112131 122232 132333 243414 [41 42 43 44] △1=11223242 233343 243444 △RG=△R1 △R2+△R3 △R4
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