How Do You Test Coax Cable Assembly Characteristics Using a VNA and Smith Chart?

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SUMMARY

This discussion focuses on testing coax cable assembly characteristics using a Vector Network Analyzer (VNA) and Smith Chart. The process involves sweeping S11 with the cable end open, shorted, and terminated to measure loss, resistance, capacitance, and inductance. The characteristic impedance (Z0) is calculated using the formula Z0 = √(L/C), where L and C are the inductance and capacitance per unit length. The discussion emphasizes that at 49 MHz, the input is inductive when the end is open, and the impedance can be determined using the Smith Chart.

PREREQUISITES
  • Understanding of Vector Network Analyzers (VNA)
  • Familiarity with Smith Chart analysis
  • Knowledge of coaxial cable characteristics
  • Basic principles of electromagnetic wave propagation
NEXT STEPS
  • Research how to perform S-parameter measurements using a VNA
  • Learn about the Smith Chart and its applications in impedance matching
  • Study the effects of frequency on coaxial cable performance
  • Explore calculations for characteristic impedance and propagation velocity in coaxial cables
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Engineers, RF technicians, and anyone involved in testing and characterizing coaxial cable assemblies will benefit from this discussion.

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I need to test a coax cable assy for loss, resistance (AC&DC?) capacitance and inductance? Using a VNA in smith chart mode, how is it done? Do I sweep the coax (S11) with the other end open, shorted and then terminated? I know sweeping S21 will give me the loss @ freq of interest. Its the capacitance and inductance I'm not sure about.
 
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How long is your cable assembly, and at what frequencies do you need L and C?
 
For loss, assuming you know the characteristic impedance, you use the VNA and plot the S21 in rectangular form with the correct termination. You see the signal attenuate with frequency. From that, you find the attenuation constant \alpha\; and back calculate.
 
There are 5 diff lengths 3.5, 5.5, 6.5, 9 & 12" all at 49 MHz.
 
Are you asking about the inductance or capacitance at the input of the coax when the end is open or shorted? That's totally different from the inherent L and C. The characteristic L and C is governed by

Z_0=\sqrt{\frac L C}

Where Z0 is the characteristic impedance, L and C is the inductance and capacitance per unit length.

If you are asking whether the input is inductive or capacitive of the coax at different length at 49MHz when the end is open, then it's a different story. For 49MHz, let's assume εr=4, this mean the speed of the EM wave propagates through the coax is about half of light which is 1.5EE8 m/sec. For 49MHz, the wavelength λ≈118"

Your longest coax is 12", it is only 1/10 λ. This is way smaller than λ/4. The input is inductance if the end is open. You can find the impedance by using the Smith Chart and then use 49MHz to back calculate the inductance.

The number I used is assume εr=4, you have to do the calculation with the number for your coax. The speed of the EM propagation is

V_p= \frac 1 {\sqrt{ε_0 ε_r μ}} \; , \; λ= \frac {V_p}{49\times 10^6}
 
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