Devnull
Senior Member
Be very careful when a person talks about electrical cable, and confuses the "impedance" of the cable with the "characteristic impedance" of the cable. Chances are that the person is giving you a full load of BS, or clueless on the subject, or both.
Let's take a look at where this "characteristic impedance" came from. Below is the derivation part copied from the Wikipedia page.
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Characteristic impedance - Wikipedia
en.wikipedia.org
Notice that at the start, voltage and current are both expressed as functions of time (t) and position along the length of the cable (x)? This gives you the first clue that the "characteristic impedance" only matters when you expect there are significant variations in the voltage (and current) level along the length of the cable. So ask yourself: Are you expecting big voltage variations along the cable, that the voltage at the output end of the cable is going to be very different from the input end? If not, the characteristic impedance doesn't matter. Electricity travels at 2/3 the speed of light in copper cables. Unless the cable is very long (kilometers) or the signal frequency is very high (RF). At 2/3 speed of light, the wavelength of a 20 kHz signal is ~10 km.
Let's dig a little further. The starting equations (telegraph equations) describe dV/dx & dI/dx, which are changes in the amplitudes with position x in differential form (time dependence is factored out to the e^(jωt) term).
A few steps down, we got the expressions for V(x) and I(x) in terms of k & A & A₁. The characteristic impedance Z₀ is the ratio A/A₁, which are to describe variations in V or I in different positions along the cable. Therefore, the characteristic impedance is only relevant for those that care about what happen in the spatial domain of an electrical signal propagating in a cable. Which means it is only relevant when the cable length is of the similar order of magnitude as the wavelength of the signal in the cable, or longer.
Yes, but most competent engineers start thinking about the characteristic impedance of the interconnect starting around 1/10 of the wavelength. Once you get to more than a quarter of the wavelength it needs to be actively thought about. But the single largest contributing factor in signal quality is the termination impedance. Look at USB standards as to how sloppy the cable can be, 90ohms +- 15%. Huge tolerance but works reliably at 100+ MHz