Cable lengths

Actually the propagation speed for the average cable is probably about two-thirds the speed of light.

Velocity (m/s) = Sqare root (1 / (Li*Ci)). Li = linear inductance of cable (H/m) and Ci = linear capacitance of cable (F/m).

that should be a good closing statement for this thread

I did a quick experiment to see what the effects of coiling up 8' of a 13' speaker wire up would be. I took a 13' speaker cable (12 gauge oxygen free copper) and measured the effective resistance over 20 Hz - 300 kHz. I then coiled up 8' of the cable which made the effective length of the cable to be 5'. The coil was about 4 loops in a 6" diameter. I then measured the effective resistance again. Each line of the data is in this format:

Frequency,
Resistance of straight wire (milli-ohms),
Resistance of wound wire (milli-ohms),
% increase of resistance:

20 36.38 36.65 0.74
30 36.72 36.92 0.54
40 36.7 36.93 0.62
50 36.72 36.99 0.73
80 36.79 37.23 1.18
100 36.87 37.43 1.50
120 36.94 37.64 1.86
150 37.06 37.96 2.37
200 37.72 38.5 2.03
250 37.45 39.03 4.05
300 37.63 39.55 4.85
400 37.92 40.48 6.32
500 38.2 41.34 7.60
600 38.46 42.17 8.80
800 38.95 43.7 10.87
1000 39.41 45.14 12.69
2000 41.06 51 19.49
4000 43.66 59.9 27.11
5000 44.84 63.77 29.68
6000 45.81 67.28 31.91
8000 47.66 73.9 35.51
10000 49.47 80.14 38.27
12000 51.32 86.16 40.44
15000 54 94.62 42.93
20000 58.36 107.76 45.84
25000 62.5 119.8 47.83
30000 66.55 131.05 49.22
40000 74.25 151.6 51.02
50000 81.9 171 52.11
60000 89 188 52.66
75000 99 213 53.52
100000 118 251 52.99
300000 255 505 49.50

I should mention that the data I posted is for one side of the speaker cable only. The data for the other side is similar. Therefore, the numbers can be doubled for a quick approximation. For instance, at 10 kHz, instead of a 40.44% increase in resistance, you will actually have an 80.88 percent increase, etc.

When I did my experiment, the coiled wire had a higher inductance and capacitance. For instance, at 10 kHz, the straight cable had 3.96 uH inductance and 227 pF capacitance while the coiled cable had 5.26 uH inductance and 249 pF capacitance. Instead of listing all of these values, I have only provided the "effective resistance." I would be happy to email a spreadsheet with all of the data to anyone who wants it.

Before we move on to deciding which is worse, coiling one side or having one side shorter, I want to mention one more thing about the data. I made a mistake with my percentage calculations. For instance, notice at 10 kHz, the "effective resistance" increased from 49.47m to 80.14m. That is actually about a 62% increase instead of the 38% that I listed. At 300 kHz the jump from 255m to 505m is about a 98% increase !!! This series of measurements is interesting because it points out that side-by-side speaker wire is generally not that great. It is not as linear over the listening range as we would like. All of our other equipment costs alot of money and is linear. So why would we think that spending more money for speaker cables is a waste? How much more to spend is the question. Hey, if anybody has cables they want measured, send them to me. It will give us some data points for comparison.