Discussion

Belden 9292 Type RG-11

Specification
Length = 22.58'
Measured DCR = 0.71Ω/100' k0=0.041
Belden Spec DCR = 0.56Ω/100' k0=0.032
VNWA/SS Measured k0= .043
VNWA/SS Measured k1= .145
VNWA Files: B9292-Short.s1p B9292-Open.s1p

SimSmith Plot Trace Description
Trace Description
Loss Measured match loss using Chipman Equation 7.28
GLoss Measured average of Zsc and Zoc Reflection Coefficients
k1k2 TL k1 and k2 loss (k1*Sqrt(f) + k2*f)
T1 SimSmith loss results
T1.effZ.M SimSmith TL |Z| results
Zo Measured |Z| using Chipman Equation 7.27
Belden Belden loss specification in points

SimSmith Plot Trace Description
Trace	Description
Loss	Measured match loss using Chipman Equation 7.28
GLoss	Measured average of Zsc and Zoc Reflection Coefficients
k1k2	TL k1 and k2 loss (k1Sqrt(f) + k2f)
T1	SimSmith loss results
T1.effZ.M	SimSmith TL \|Z\| results
Zo	Measured \|Z\| using Chipman Equation 7.27
Belden	Belden loss specification in points

RG-174

Amphenol CO-174BNCX200-025
Length = 24.9'
Measured Rdc = 4.8 Ω/100'
k0 = 10*Log((50 + 4.8) / 50) = 0.3981 = 0.40
VNWA Files: rg174-Short.s1p rg174-Open.s1p
VNWA Files: rg174-S21.txt rg174-S21.s1p rg174-S21.s2p Bel-rg174.txt

Velocity Factor and Zo

Compare Paul, N2PK, Zsc/Zoc with KN5L S21

Evaluating k0 at DC

V 1 = 1.505
V 2 = 1.489
k0 =20*Log(1.505/1.489) * (100/24.9) = 0.3728 dB/100'

Evaluating k0 at 60Hz

Adjust Signal generator for Fluke 2.000 V match using short cable.
k0 = 20*Log(2/1.978) * (100/24.9) = 0.3858 dB/100'
Computed Rdc = 4.65 Ω/100'

Evaluating k0 at 12kHz

M&P RG-213

Data Sheet

Belden RG-8X versus M&P HYF5

T1 = using measured Belden RG-8X values below

M&P HYF5

Data Sheet
Length = 40.5'
Specification DCR = 0.77 Ω/100', k0 = 0.066
Sig Gen Measured k0 = 0.072
Files: hyf5-Short.s1p hyf5-Open.s1p

Belden 8241 RG-59

Data Sheet
Length = 22.5'
Sig Gen Measured k0 = 0.34
Files: B-8241-10k-Short.s1p B-8241-10k-Open.s1p

Belden 8241 SimSmith bimetal Model

Belden 8241 SimSmith bimetal and ccsCoax Model

Belden 8241 SimSmith bimetal Model relR

Measured Conductor DCR = 5.24Ω / 100ft
Specification Outer Conductor DCR = 0.26Ω / 100ft
Total DCR = 5.5Ω
Adjust bimetal relR for low frequency loss match

bimetal Loss 100kHz to 10MHz

Johnson Matched Loss Regions

Region	Slope	Notes

RC	Sqrt(F)	Effective TL \|Z\|
LC	Constant	k0
Skin-effect	Sqrt(F)	k1

Files: B-8241-Short.s1p B-8241-Open.s1p

Belden RG-8X

Length = 32' 4"
Files: RG-8X-Short.s1p RG-8X-Open.s1p RG-8X-S21.txt RG-8X-S21.s2p

Optimized Belden RG-8X 10 kHz to 100 MHz k1 k2

ABR RG-8X Foil

Length = 49' 11"
Files: ABR-8x-Short.s1p ABR-8x-Open.s1p ABR-8x-S21.csv ABR-8x-S21.s2p

Belden 9913

Data Sheet
Files: 9913-short-2.s1p 9913-open-2.s1p 9913-S21.csv 9913-S21.s1p 9913-S2P.s2p

Loss Plot Using Belden data

SimSmith G.Plt Text
//Plots // Chipman Equation 7.28 $t = Sqrt(L.Z/LG1.Z); $loss = 4.34295 * Ln(Mag((1+$t)/(1-$t))) * 100/len; Plot("Loss",$loss); // Average (20 * Log(Reflection Coefficient)) / 2 // Zo dependent $SRL=IndB(Mag(Gamma(L.Z))); $ORL=IndB(Mag(Gamma(LG1.Z))); $ARL=-($SRL+$ORL)/4100/len; //Plot("GLoss",$ARL); Plot("k1k2",k1Sqrt(G.MHz) + k2G.MHz); // Compute and plot VNWA 2 Port S21 $data=file[]; $sdb = $data.R; $sdb = $sdb -100 / len; Plot("S21 dB", $sdb);

SimSmith G.Plt Text

//Plots
// Chipman Equation 7.28
$t = Sqrt(L.Z/LG1.Z);
$loss = 4.34295 * Ln(Mag((1+$t)/(1-$t))) * 100/len;
Plot("Loss",$loss);

// Average (20 * Log(Reflection Coefficient)) / 2
// Zo dependent
$SRL=IndB(Mag(Gamma(L.Z)));
$ORL=IndB(Mag(Gamma(LG1.Z)));
$ARL=-($SRL+$ORL)/4*100/len;
//Plot("GLoss",$ARL);

Plot("k1k2",k1*Sqrt(G.MHz) + k2*G.MHz);

// Compute and plot VNWA 2 Port S21
$data=file[];
$sdb = $data.R;
$sdb = $sdb * -100 / len;
Plot("S21 dB", $sdb);

TM LMR-240-UF

Data Sheet
Files: tm240uf-short.s1p tm240uf-open.s1p tm240uf-S21.csv

Hypothetical TL Example

Type RG-213 VNWA S21 10kHz to 100MHz

Tex-Com Wire and Cable RG-213/U 50' 4"
Measured DC k0 = 0.034
VNWA Files: rg-213-10k-S21.txt rg-213-10k-S21.s1p rg-213-10k-S21.s2p

Type RG-213 VNWA Zsc Zoc

Tex-Com Wire and Cable RG-213/U 50' 4"
VNWA Files: rg-213-short.s1p rg-213-open.s1p

Type RG-213 VNWA Two Port, S21

Tex-Com Wire and Cable RG-213/U 50' 4"
5 MHz -0.05dB * 100 / 50.33 = -0.099
10MHz -0.28 * 100 / 50.33 = -0.56
10MHz 0.17 * 10^.5 + 0.0025 * 10 = 0.56