Technical note, about speaker cables ...
I was wondering ...
What is the order of magnitude ...
Which is the significance ?, of the resistanse (Ohm /m) of the speaker cables ...
{ For the interconnection, between amp stages, it was analyzed in another technical note ...
That there is, indeed (depending on the case) the need for low-capacitance cabling (< ... pF / m) }
But the speakers have low resistance (as loads) ...
Usually 4 or 8 Ohm ...
In fact:
Impedance, Ζ (jw) ...
Which can vary (in metre) as a function of frequency, ...
From (lets say) ...
2 Ω ... 8 Ω
{ depending on the implementation }
I thought, qualitatively and quantitatively the issue ...
Let assume a connection cable of 2 m ...
It can have (ohmic) resistance ...
Of the order of ... 0.2 Ohm
{ a cheap one }
The loss (in dB) would be negligible ...
One thinks at first glance ...
Here is a simple, careful reasoning:
(1) IF someone uses a 0.2 Ohm cable ...
For a fluctuating (with the frequency) load:
2 ... 8 Ω
Then he gets a VARYING loss (depending on frequency !)
Loss οf the order of:
-0.8 ... -0.2 dB
Actually!
A sensitive "musical ear" can feel and detect this variation (change) in the original signal ...
NO from the "negligible" loss (-0.5 dB) ...
But from the fact that it is NOT stable ! ...
===
IF someone used an "exotic" but unfortunately much more expensive cable ...
E.g. with ohmic resistance of
0.02 Ω ...
With the same fluctuating (with frequency) load:
2 ... 8 Ω
Then he gets a VARYING loss (depending on frequency !)
Loss οf the order of:
-0.08 ... -0.02 dB
So minor fluctuation of loss (in dB) ...
Is (likely) not perceived by the human ear ...
===
Regarding the dynamic response of the system (cable - speaker) ...
The capacitance (pF / m) ...
And the corresponding induction (nH / m) ...
They are so small ...
And the load resistance is also small (few Ohm) ...
... so that finally the poles of the system, that are inserted by the "capacitor" and the "coil" of the cable ...
They can be over 200 kHz ...
That does not change the phase ...
Not even at 20 kHz (at the limits of the human hearing) ...
Therefore, these cable parameters, do not seem to be decisive ...
{ for the speaker cables ... }
While they are critical for the interconnection of amp stages, where the input resistance is of the order of kOhm ...
{ as discussed in another article }
View: https://www.facebook.com/ioannis.tortopidis/posts/10216516371927745
{ i will try to translate, when i find some time in peace }
===
I was wondering ...
What is the order of magnitude ...
Which is the significance ?, of the resistanse (Ohm /m) of the speaker cables ...
{ For the interconnection, between amp stages, it was analyzed in another technical note ...
That there is, indeed (depending on the case) the need for low-capacitance cabling (< ... pF / m) }
But the speakers have low resistance (as loads) ...
Usually 4 or 8 Ohm ...
In fact:
Impedance, Ζ (jw) ...
Which can vary (in metre) as a function of frequency, ...
From (lets say) ...
2 Ω ... 8 Ω
{ depending on the implementation }
I thought, qualitatively and quantitatively the issue ...
Let assume a connection cable of 2 m ...
It can have (ohmic) resistance ...
Of the order of ... 0.2 Ohm
{ a cheap one }
The loss (in dB) would be negligible ...
One thinks at first glance ...
Here is a simple, careful reasoning:
(1) IF someone uses a 0.2 Ohm cable ...
For a fluctuating (with the frequency) load:
2 ... 8 Ω
Then he gets a VARYING loss (depending on frequency !)
Loss οf the order of:
-0.8 ... -0.2 dB
Actually!
A sensitive "musical ear" can feel and detect this variation (change) in the original signal ...
NO from the "negligible" loss (-0.5 dB) ...
But from the fact that it is NOT stable ! ...
===
IF someone used an "exotic" but unfortunately much more expensive cable ...
E.g. with ohmic resistance of
0.02 Ω ...
With the same fluctuating (with frequency) load:
2 ... 8 Ω
Then he gets a VARYING loss (depending on frequency !)
Loss οf the order of:
-0.08 ... -0.02 dB
So minor fluctuation of loss (in dB) ...
Is (likely) not perceived by the human ear ...
===
Regarding the dynamic response of the system (cable - speaker) ...
The capacitance (pF / m) ...
And the corresponding induction (nH / m) ...
They are so small ...
And the load resistance is also small (few Ohm) ...
... so that finally the poles of the system, that are inserted by the "capacitor" and the "coil" of the cable ...
They can be over 200 kHz ...
That does not change the phase ...
Not even at 20 kHz (at the limits of the human hearing) ...
Therefore, these cable parameters, do not seem to be decisive ...
{ for the speaker cables ... }
While they are critical for the interconnection of amp stages, where the input resistance is of the order of kOhm ...
{ as discussed in another article }
View: https://www.facebook.com/ioannis.tortopidis/posts/10216516371927745
{ i will try to translate, when i find some time in peace }
===