Speaker wire

2 conductor copper speaker wire
Stripped speaker wires

Speaker wire is used to make the electrical connection between loudspeakers and audio amplifiers. Modern speaker wire consists of two or more electrical conductors individually insulated by plastic (such as PVC, PE or Teflon) or, less commonly, rubber. The two wires are electrically identical, but are marked to identify the correct audio signal polarity. Most commonly, speaker wire comes in the form of zip cord.

The effect of speaker wire upon the signal it carries has been a much-debated topic in the audiophile and high fidelity worlds. The accuracy of many advertising claims on these points has been disputed by expert engineers who emphasize that simple electrical resistance is by far the most important characteristic of speaker wire.

History

Early speaker cable was typically stranded copper wire, insulated with cloth tape, waxed paper or rubber. For portable applications, common lampcord was used, twisted in pairs for mechanical reasons. Cables were often soldered in place at one end. Other terminations were binding posts, terminal strips, and spade lugs for crimp connections. Two-conductor ¼-inch tip-sleeve phone jacks came into use in the 1920s and '30s as convenient terminations.[1]

Some early speaker cable designs featured another pair of wires for rectified direct current to supply electrical power for an electromagnet in the loudspeaker.[2] Essentially all speakers manufactured now use permanent magnets, a practice which displaced field electromagnet speakers in the 1940s and '50s.

Explanation

Speaker wire is a passive electrical component described by its electrical impedance, Z. The impedance can be broken up into three properties which determine its performance: the real part of the impedance, or the resistance, and the two imaginary components of the impedance: capacitance and inductance. The ideal speaker wire has no resistance, capacitance, or inductance. The shorter and thicker a wire is, the lower is its resistance, as the electrical resistance of a wire is proportional to its length and inversely proportional to its cross-sectional area (except superconductors). The wire's resistance has the greatest effect on its performance.[3][4] The capacitance and inductance of the wire have less effect because they are insignificant relative to the capacitance and inductance of the loudspeaker. As long as speaker wire resistance is kept to less than 5% of the speaker's impedance, the conductor will be adequate for home use.

Speaker wires are selected based on price, quality of construction, aesthetic purpose, and convenience. Stranded wire is more flexible than solid wire, and is suitable for movable equipment. For a wire that will be exposed rather than run within walls, under floor coverings, or behind moldings (such as in a home), appearance may be a benefit, but it is irrelevant to electrical characteristics. Better jacketing may be thicker or tougher, less chemically reactive with the conductor, less likely to tangle and easier to pull through a group of other wires, or may incorporate a number of shielding techniques for non-domestic uses.

Resistance

Resistance is by far the most important specification of speaker wire.[4] Low-resistance speaker wire allows more of the amplifier's power to energize the loudspeaker's voice coil. The performance of a conductor such as speaker wire is therefore optimised by limiting its length and maximising its cross-sectional area. Depending on the hearing ability of the listener, this resistance begins to have an audible effect when the resistance exceeds 5% of the speaker's impedance.

A speaker wire’s impedance takes into account the wire’s resistance, the wire’s path, and the dielectric properties of local insulators. The latter two factors also determine the wire's frequency response. The lower the impedance of the speaker, the greater a significance the speaker wire's resistance will have.

Where large buildings have long runs of wire to interconnect speakers and amplifiers, a constant voltage speaker system may be used to reduce losses in the wiring.

Wire gauge

Thicker wires reduce resistance. The resistance of 16-gauge or heavier speaker connection cable has no detectable effect in runs of 50 feet (15 meters) or less in standard domestic loudspeaker connections for a typical 8 ohm speaker.[4] As speaker impedance drops, lower gauge (heavier) wire is needed to prevent degradation to damping factor – a measure of the amplifier's control over the position of the voice coil.

Insulation thickness or type also has no audible effect as long as the insulation is of good quality and does not chemically react with the wire itself (poor-quality insulation has occasionally been found to accelerate oxidation of the copper conductor, increasing resistance over time). High-power in-car audio systems using 2-ohm speaker circuits require thicker wire than 4 to 8-ohm home audio applications.

Most consumer applications use two conductor wire. A common rule of thumb is that the resistance of the speaker wire should not exceed 5% of the rated impedance of the system. The table below shows recommended lengths based on this guideline:

Maximum wire lengths for two conductor copper wire[4]
Wire size 2 Ω load 4 Ω load 6 Ω load 8 Ω load
22 AWG (0.326 mm2) 3 ft (0.9 m) 6 ft (1.8 m) 9 ft (2.7 m) 12 ft (3.6 m)
20 AWG (0.518 mm2) 5 ft (1.5 m) 10 ft (3 m) 15 ft (4.5 m) 20 ft (6 m)
18 AWG (0.823 mm2) 8 ft (2.4 m) 16 ft (4.9 m) 24 ft (7.3 m) 32 ft (9.7 m)
16 AWG (1.31 mm2) 12 ft (3.6 m) 24 ft (7.3 m) 36 ft (11 m) 48 ft (15 m)
14 AWG (2.08 mm2) 20 ft (6.1 m) 40 ft (12 m) 60 ft (18 m)* 80 ft (24 m)*
12 AWG (3.31 mm2) 30 ft (9.1 m) 60 ft (18 m)* 90 ft (27 m)* 120 ft (36 m)*
10 AWG (5.26 mm2) 50 ft (15 m) 100 ft (30 m)* 150 ft (46 m)* 200 ft (61 m)*

* While in theory heavier wire can have longer runs, recommended household audio lengths should not exceed 50 feet (15 m).[4]

The gauge numbers in SWG (standard wire gauge) and AWG (American wire gauge) reduce as the wire gets larger. Sizing in square millimeters is also common outside of the US. Suppliers and manufacturers often specify their cable in strand count. A 189 strand count wire has a cross-sectional area of 1.5 mm2 which equates to 126.7 strands per mm2.[5]

Wire material

Use of copper is more or less universal for speaker wire; it has low resistance and less cost compared to other suitable materials. Copper and aluminum both oxidize, but oxides of copper are conductive, while those of aluminum are insulating. Also offered is Oxygen-free Copper (OFC), sold in several grades. The various grades are marketed as having better conductivity and durability, but they have no significant benefit in audio applications.[4] Commonly available C11000 Electrolytic-Tough-Pitch (ETP) copper wire is identical to higher-cost C10200 Oxygen-Free (OF) copper wire in speaker cable applications. Much more expensive C10100, a highly refined copper with silver impurities removed and oxygen reduced to 0.0005%, has only a one percent increase in conductivity rating, insignificant in audio applications.[4]

Silver has a slightly lower resistivity than copper, which allows a thinner wire to have the same resistance. Silver is expensive, so a copper wire with the same resistance costs considerably less. Silver tarnishes to form a thin surface layer of silver sulfide.

Gold has a higher resistivity than either copper or silver, but pure gold does not oxidize, so it can be used for plating wire-end terminations.

Capacitance and inductance

Capacitance

Capacitance occurs between any two conductors separated by an insulator. In an audio cable, capacitance occurs between the cable's two conductors; the resulting losses are called "dielectric losses" or "dielectric absorption". Capacitance also occurs between the cable's conductors and any nearby conductive objects, including house wiring and damp foundation concrete; this is called "stray capacitance".

Parallel capacitances add together, and so both the dielectric loss and the stray capacitance loss add up to a net capacitance.

Audio signals are alternating current and so are attenuated by such capacitances. Attenuation occurs in direct proportion to frequency: a higher frequency can more easily leak through a given capacitance. The amount of attenuation can be calculated for any given frequency; the result is called the capacitive reactance, which is an effective resistance measured in ohms:

X_c = \frac{1}{2 \pi f C}

where:

This table shows the capacitive reactance in ohms (higher means lower loss) for various frequencies and capacitances; highlighted rows represent loss greater than 1% at 30 volts RMS:

Capacitance 100 Hz 200 Hz 500 Hz 1,000 Hz 2,000 Hz 5,000 Hz 10,000 Hz 20,000 Hz 50,000 Hz
100 pF (0.1 nF) 15,915,508 7,957,754 3,183,102 1,591,551 795,775 318,310 159,155 79,578 31,831
200 pF (0.2 nF) 7,957,754 3,978,877 1,591,551 795,775 397,888 159,155 79,578 39,789 15,916
500 pF (0.5 nF) 3,183,102 1,591,551 636,620 318,310 159,155 63,662 31,831 15,916 6,366
1,000 pF (1 nF) 1,591,551 795,775 318,310 159,155 79,578 31,831 15,916 7,958 3,183
2,000 pF (2 nF) 795,775 397,888 159,155 79,578 39,789 15,916 7,958 3,979 1,592
5,000 pF (5 nF) 318,310 159,155 63,662 31,831 15,916 6,366 3,183 1,592 637
10,000 pF (10 nF) 159,155 79,578 31,831 15,916 7,958 3,183 1,592 796 318
20,000 pF (20 nF) 79,578 39,789 15,916 7,958 3,979 1,592 796 398 159
50,000 pF (50 nF) 31,831 15,916 6,366 3,183 1,592 637 318 159 64
100,000 pF (100 nF) 15,916 7,958 3,183 1,592 796 318 159 80 32
200,000 pF (200 nF) 7,958 3,979 1,592 796 398 159 80 40 16
500,000 pF (500 nF) 3,183 1,592 637 318 159 64 32 16 6

The voltage on a speaker wire depends on amplifier power; for a 100-watt-per-channel amplifier, the voltage will be about 30 volts RMS. At such voltage, a 1% loss will occur at 3,000 ohms or less of capacitive reactance. Therefore, to keep audible (up to 20,000 Hz) losses below 1%, the total capacitance in the cabling must be kept below about 2,700 pF.

Ordinary lamp cord has a capacitance of 10–20 pF per foot, plus a few picofarads of stray capacitance, so a 50 foot run (100 total feet of conductor) will have less than 1% capacitive loss in the audible range. Some premium speaker cables have higher capacitance in order to have lower inductance; 100–300 pF is typical, in which case the capacitive loss will exceed 1% for runs longer than about 5 feet (10 feet of conductor).

Inductance

All conductors have inductance, which is their inherent resistance to changes in current. That resistance is called inductive reactance, measured in ohms. Inductive reactance depends on how quickly the current is changing: quick changes in current (i.e., high frequencies) encounter a higher inductive reactance than do slow changes (low frequencies). Inductive reactance is calculated using this formula:

X_i = 2 \pi f L

where:

Audio signals are alternating current and so are attenuated by inductance. The following table shows the inductive reactance in ohms (lower means lower loss) for typical cable inductances at various audio frequencies; highlighted rows represent loss greater than 1% at 30 volts RMS:

Inductance (μH) 100 Hz 200 Hz 500 Hz 1,000 Hz 2,000 Hz 5,000 Hz 10,000 Hz 20,000 Hz 50,000 Hz
0.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1
0.5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.2
1 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.3
2 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.3 0.6
5 0.0 0.0 0.0 0.0 0.1 0.2 0.3 0.6 1.6
10 0.0 0.0 0.0 0.1 0.1 0.3 0.6 1.3 3.1
20 0.0 0.0 0.1 0.1 0.3 0.6 1.3 2.5 6.3
50 0.0 0.1 0.2 0.3 0.6 1.6 3.1 6.3 15.7
100 0.1 0.1 0.3 0.6 1.3 3.1 6.3 12.6 31.4
200 0.1 0.3 0.6 1.3 2.5 6.3 12.6 25.1 62.8
500 0.3 0.6 1.6 3.1 6.3 15.7 31.4 62.8 157.1

The voltage on a speaker wire depends on amplifier power; for a 100-watt-per-channel amplifier, the voltage will be about 30 volts RMS. At such voltage, a 1% loss will occur at 0.3 ohms or more of inductive reactance. Therefore, to keep audible (up to 20,000 Hz) losses below 1%, the total inductance in the cabling must be kept below about 2 μH.

Ordinary lamp cord has an inductance of 0.1–0.2 μH/foot, likewise for shielded cord,[6] so a run of up to about 5 feet (10 total feet of conductor) will have less than 1% inductive loss in the audible range. Some premium speaker cables have lower inductance at the cost of higher capacitance; 0.02-0.05μH/foot is typical, in which case a run of up to about 25 feet (50 feet of conductor) will have less than 1% inductive loss.

Skin effect

Skin effect in audio cables is the tendency for high frequency signals to travel more on the surface than in the center of the conductor, as if the conductor were a hollow metal pipe.[3] This tendency, caused by self-inductance, makes the cable more resistant at higher frequencies, diminishing its ability to transmit high frequencies with as much power as low frequencies. As cable conductors increase in diameter they have less overall resistance but increased skin effect. The choice of metals in the conductor makes a difference, too: silver has a greater skin effect than copper; aluminum has less effect. Skin effect is a significant problem at radio frequencies or over long distances such as miles and kilometers worth of high-tension electrical transmission lines, but not at audio frequencies carried over short distances measured in feet and meters. Speaker cables are normally made with stranded conductors but bare metal strands in contact with each other do not mitigate skin effect; the bundle of strands acts as one conductor at audio frequencies.[7] Litz wire – individually insulated strands held in a particular pattern – is a type of high-end speaker wire intended to reduce skin effect. Another solution that has been tried is to plate the copper strands with silver which has less resistance.[8]

Regardless of marketing claims, skin effect has an inaudible and therefore negligible effect in typical inexpensive cables for loudspeaker or other audio signals.[9] The increase in resistance for signals at 20,000 Hz is under 3%, in the range of a few milliohms for the common home stereo system; an insignificant and inaudible degree of attenuation.[7][10][11]

Terminations

Speaker wire terminations facilitate the connection of speaker wire to both amplifiers and loudspeakers. Examples of termination include soldered or crimped pin or spade lugs, banana plugs, and 2-pin DIN connectors. The type of termination is determined by the connectors on the equipment at each end of the wire. Some terminations are gold plated.

Many speakers and electronics have flexible five-way binding posts that can be screwed down or held down by a spring to accept bare or soldered wire and pins or springy banana plugs (through a hole in the outward-facing side of the post).

Quality debate

There is debate among audiophiles surrounding the impact that high-end cables have on audio systems with audibility of the changes central to the discussion. While some speaker wire marketers claim audible improvement with design or exotic materials, skeptics say that a few meters of speaker wire from the power amplifier to the binding posts of the loudspeakers cannot possibly have much influence because of the greater influence from complex crossover circuits found in most speakers and particularly from the speaker driver voice coils that have several meters of very thin wire. To justify claims of enhanced audio quality, many marketers of high-end speaker cables cite electrical properties such as skin effect, characteristic impedance or resonance; properties which are generally little understood by consumers. None of these have any measurable effect at audio frequencies, though each matters at radio frequencies.[12] Industry experts have disproven the higher quality claims through measurement of the sound systems and through double-blind ABX tests of listeners.[4][13] There is however agreement that the overall resistance of the speaker wire should not be too high.[4] As well, the observed problems with speaker cable quality are largest for loudspeakers with passive cross-overs such as those typical of home stereos.[14]

An accepted guideline is that the wire impedance should not exceed 5% of the entire circuit. For a given material, resistance is a function of length and thickness (specifically of the ratio of length to cross-sectional area). For this reason, lower impedance speakers require lower resistance speaker wire.[4] Longer cable runs need to be even thicker.[15] Once the 5% guideline is met, thicker wire will not provide any improvement.[4]

Roger Russell – a former engineer and speaker designer for McIntosh Labs – details how expensive speaker wire brand marketing misinforms consumers in his online essay called Speaker Wire – A History. He writes, "The industry has now reached the point where [wire] resistance and listening quality are not the issues any more, although listening claims may still be made...The strategy in selling these products is, in part, to appeal to those who are looking to impress others with something unique and expensive."[4]

See also

References

  1. ↑ "Auxiliary Loudspeaker". Popular Science (Bonnier Corporation) 124 (2): 54. February 1934. ISSN 0161-7370.
  2. ↑ Nelson, Paul H. (December 1934). "Low-Cost Rectifier For Extra Speaker". Popular Science (Bonnier Corporation) 125 (6): 62. ISSN 0161-7370.
  3. 1 2 ProCo Sound. Whitepapers: "Understanding Speaker Cables"
  4. 1 2 3 4 5 6 7 8 9 10 11 12 Russell, Roger (1999–2007). "Speaker Wire - A History". Retrieved 17 July 2009.
  5. ↑ Cables4less (2012). "Speaker Cables and Adaptors". Retrieved 6 April 2012.
  6. ↑ 18-2 Shielded Cord data sheet page 1, West Penn Wire. Retrieved 2011-05-24
  7. 1 2 Rozenblit, Bruce (1999). Audio reality: myths debunked, truths revealed. Transcendent Sound. pp. 29–30. ISBN 0966961102.
  8. ↑ Newell, Philip; Holland, Keith (2007). Loudspeakers: For Music Recording And Reproduction. Focal Press. p. 170. ISBN 0240520149.
  9. ↑ Watkinson, John (1998). The art of sound reproduction. Focal Press. p. 188. ISBN 0240515129. ...skin effect at the highest audio frequency is so small that it can be totally neglected.
  10. ↑ DellaSala, Gene (August 29, 2004). "Skin Effect Relevance in Speaker Cables". Audioholics Online A/V Magazine. Audioholics. Retrieved March 10, 2012.
  11. ↑ "Feedback". New Scientist (IPC Magazines) 125: 70. 1990. It turned out that the extra resistance caused by the skin effect between 10 kHz and 20 kHz (the upper limit of even the best human ear) in a typical domestic situation is in the order of 5 milliohms. Sorry , but we remain unconvinced...
  12. ↑ Elliott, Rod (October 29, 2004). "Cables, Interconnects & Other Stuff – The Truth". Elliott Sound Products. Retrieved March 11, 2012.
  13. ↑ Jensen Transformers. Bill Whitlock, 2005. Understanding, Finding, & Eliminating Ground Loops In Audio & Video Systems. Retrieved February 18, 2010.
  14. ↑ Duncan, Ben (1996). High performance audio power amplifiers. Newnes. p. 370. ISBN 0750626291.
  15. ↑ Audioholics: Online A/V magazine. Gene DellaSala. Speaker Cable Gauge (AWG) Guidelines & Recommendations January 21, 2008

External links

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