×
INTELLIGENT WORK FORUMS
FOR ENGINEERING PROFESSIONALS

Are you an
Engineering professional?
Join Eng-Tips Forums!
• Talk With Other Members
• Be Notified Of Responses
• Keyword Search
Favorite Forums
• Automated Signatures
• Best Of All, It's Free!

*Eng-Tips's functionality depends on members receiving e-mail. By joining you are opting in to receive e-mail.

#### Posting Guidelines

Promoting, selling, recruiting, coursework and thesis posting is forbidden.

# Calcul/measurement of coax impedance ?

## Calcul/measurement of coax impedance ?

(OP)
Hi,

I wonder how I can simply find the carracteristic impedance of a coax cable ?

I wanted to calculate it knowing that Z0= SQRT(L/C) with SQRT=> square root ; L,C: lumped elements...

But I've another problem... it's that I don't know the dielectric material so I can't find Epsilon_r !!

Can I get some help ?

Thks.

### RE: Calcul/measurement of coax impedance ?

Every HF coax has the Z specified.

### RE: Calcul/measurement of coax impedance ?

(OP)
I'm sorry Nbucska but not "every HF coax"... as the one I have doesn't !

It comes from recuperation, and I would like to use it to feed a microstrip antenna with 50 Ohms impedance...

### RE: Calcul/measurement of coax impedance ?

The classical theory that the a cable of specific impedance should be terminated by the same impedance should be applicable here.  You ought to be able to tell if a 50 ohm termination results in:

>  no reflections
>  maximum power transfer

TTFN

### RE: Calcul/measurement of coax impedance ?

if you are familiar with electronics, then you should already be familiar with identifying the various insulations used in the industry.

if your cable is not properly documented then you should obtain a better grade.

dealing with microstrip implies that you need high performance cable, one that is properly tested and doc'd per IRStuff take the advice and report back what you find.

### RE: Calcul/measurement of coax impedance ?

Hi!

The most of cables nowdays are 50ohm or 75ohm. Just check the matching.

Buding.

### RE: Calcul/measurement of coax impedance ?

Hi,

I don't know if you have access to an HP8510C vector network analyzer (or something similar.)

But if you do, I would attach the cable to one of the ports and look at the Smith chart of S11 (or S22).  If you see a dot in the middle of the chart, then you know that the coax is 50ohms, because the port impedance of the analyzer is 50ohms.  You could even go to Time Domain mode and check out the reflection coefficient.  (Time Domain mode simply does an FFT on the frequency response.)  If the reflection is near 0, then the coax is 50ohms.  If the Smith chart or the Time Domain modes give you other information, you could figure out the exact impedance from that.

Z_coax = Zo * ( ( 1 + |gamma| ) / ( 1 - |gamma| ) )

where Zo = 50 ohms.

HTH,
Matt

### RE: Calcul/measurement of coax impedance ?

Measure the diameter of the dielectric (D) and the diameter of the inner conductor (d) and use the formula:

Zo=138*Log10(D/d) and divide this by the square root of the dielectric constant of the dielectric.

Most coaxial cables have a polythyene dielectric which has a dielectric constant of 2.25

Greg Chenco

### RE: Calcul/measurement of coax impedance ?

(OP)
Thanks Greg for your reply, it's exactly what I was waiting for !!!

I found this formulla in an electrical school book...

### RE: Calcul/measurement of coax impedance ?

Just be careful about your assumption that the dielectric constant is 2.25.  Look at the dielectric, if it is white, then it is likely not polyethylene, but either teflon, or foamed teflon.  If solid teflon, then E=2.  If it is soft and white, it is most likely a fomaed dielectric and E can range from 1.3-1.6.

#### Red Flag This Post

Please let us know here why this post is inappropriate. Reasons such as off-topic, duplicates, flames, illegal, vulgar, or students posting their homework.

#### Red Flag Submitted

Thank you for helping keep Eng-Tips Forums free from inappropriate posts.
The Eng-Tips staff will check this out and take appropriate action.

#### Resources

Low-Volume Rapid Injection Molding With 3D Printed Molds
Learn methods and guidelines for using stereolithography (SLA) 3D printed molds in the injection molding process to lower costs and lead time. Discover how this hybrid manufacturing process enables on-demand mold fabrication to quickly produce small batches of thermoplastic parts. Download Now
Examine how the principles of DfAM upend many of the long-standing rules around manufacturability - allowing engineers and designers to place a partâ€™s function at the center of their design considerations. Download Now
Taking Control of Engineering Documents
This ebook covers tips for creating and managing workflows, security best practices and protection of intellectual property, Cloud vs. on-premise software solutions, CAD file management, compliance, and more. Download Now

Close Box

# Join Eng-Tips® Today!

Join your peers on the Internet's largest technical engineering professional community.
It's easy to join and it's free.

Here's Why Members Love Eng-Tips Forums:

• Talk To Other Members
• Notification Of Responses To Questions
• Favorite Forums One Click Access
• Keyword Search Of All Posts, And More...

Register now while it's still free!