Lineas Transmison

TRABAJO
Cable coaxial RG-6


Figura 1. Características de un cable coaxial RG-6. < http://esp.hyperlinesystems.com/catalog/cable/rg6.shtml>

a=1.02mm →0.00102mb=4.57mm →0.00457m
c=6.9mm →0.0069m
f →hasta 3GHz
f=60 Hz

δ=1/√(Πfu_c θ_c )
δ=1/√(Π(100)(4Π*〖10〗^(-7) )(5.8*〖10〗^7 ) )
δ=1/117.212
δ=8.53*〖10〗^(-3) mmR=1/(2Πδθ_c ) [1/a+1/b]
R=1/2Π(8.53*〖10〗^(-3) )(5.8*〖10〗^7 ) [1/0.00102+1/0.00457]
R=1/(3.1*〖10〗^6 ) [1/0.00102+1/0.00457]
R=3.21*〖10〗^(-7) [980.3921+218.8183]
R=3.21*〖10〗^(-7)[1199.21]
R=3.85*〖10〗^(-4) Ω/m

L=u/2Π ln b/a
L=(4Π*〖10〗^(-7))/2Π ln 0.00457/0.00102
L=200*〖10〗^(-9) ln⁡(4.4803)
L=200*〖10〗^(-9) (1.4997)
L=299.94*〖10〗^(-9)H/m

G=2Πθ/ln⁡(b/a)
G=2Π(5.8*〖10〗^7 )/1.4997
G=(364.4247478*〖10〗^6)/1.4997
G=242.99*〖10〗^6 S/m

C=2Πε/ln⁡(b/a)
C=2Π(〖10〗^(-9)/36Π)/ln⁡(b/a)C=(5.555555*〖10〗^(-11))/1.4997
C=3.70*〖10〗^(-11) F/M

Cable concéntrico de 2 líneas

Figura 2. Características de un cable concéntrico de dos líneas.
d=2.55mm →0.00255m
f=60Hza=1.19mm →0.00119m
u_c=4Π*〖10〗^(-7)
θ_c=5.8*〖10〗^7

δ=1/√(Πfu_c θ_c )
δ=1/√(Π(60)(4Π*〖10〗^(-7) )(5.8*〖10〗^7 ) )
δ=1/117.211302
δ=8.5316*〖10〗^(-3) mm

R=1/(Πaδθ_c )R=1/Π(0.00119)(8.5316*〖10〗^(-3) )(5.8*〖10〗^7 )
R=1/1849.5831
R=540.66*〖10〗^(-6) Ω/m

L=u/Π 〖Cosh〗^(-1) d/2a
L=(4Π*〖10〗^(-7))/Π 〖Cosh〗^(-1) 0.00255/(2)(0.00119)L=4*〖10〗^(-7) 〖Cosh〗^(-1) (1.07142)
L=(4*〖10〗^(-7) )(0.37575)
L=1.503*〖10〗^(-7)

G=Πθ/(〖Cos〗^(-1) d/2a)
G=Π(5.8*〖10〗^7 )/(〖Cosh〗^(-1) (0.00255/0.00238) )G=(182.212373*〖10〗^6)/0.37575
G=484.9298*〖10〗^6 S/m

C=Πε/(〖Cosh〗^(-1) d/2a)
C=Π(〖10〗^(-9)/36Π)/0.37575
C=(2.77777*〖10〗^(-11))/0.37575
C=7.39*〖10〗^(-11) F/m