coax(1)

πŸ’– coax β€” bestie, let's measure some impedance πŸ’–

okay so this is coax(1), from the General Commands Manual, and it's literally the cutest little tool for figuring out the impedance of a coaxial structure. the inner conductor can be offset from the centre if you need it to be, and she handles that with zero drama. πŸ’…


✨ NAME ✨

coax β€” determine impedance of a coaxial structure, where the inner may be offset from the centre if necessary.

no cap, that's the whole vibe.


🌸 SYNOPSIS 🌸

coax [-O offset] d D Er

πŸ¦‹ DESCRIPTION πŸ¦‹

so here's the tea, bestie. coax computes the impedance of a coaxial cable. to do that it needs three things from you:

  • the outside diameter of the inner conductor, d
  • the internal diameter of the outer conductor, D
  • the relative permittivity of the dielectric, Er

and if there's an offset between the inner and the outer β€” like, the coax is eccentric, which is a whole mood β€” you can hand that offset over as an option. 🫢

then she whips out this equation:

Zo=59.95849160 ln(x+sqrt(x^2-1)) /sqrt(Er)  Ohms

where

x=(d^2+D^2-4 O^2)/(2*D*d)

and boom, impedance. ✨ iconic math behaviour, honestly.


πŸŽ€ FILES πŸŽ€

coax does not read/write any files. not one. she's low maintenance like that. πŸ’œ


πŸ‘‘ SEE ALSO πŸ‘‘

the whole friend group, fr fr:

and the links, because we stay connected:


main character energy only, bestie 🌈 go read the theory paper if you want the why behind the equation, iykyk. πŸ“„

written by Dr. David Kirkby, and this whole page is serving atlc-4.6.0, dated 28th Oct 2003. mwah, periodt. πŸ’–βœ¨

πŸ“¦ where this page comes from