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m Color-coded the elements of the tables that fall above the 1% loss threshold.
Extended the capacitive reactance data table to higher capacitance values, to match the range of the inductive reactance table.
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* <math>C</math> is the capacitance in [[farad]]s.
* <math>C</math> is the capacitance in [[farad]]s.


This table shows the capacitive reactance in ohms -- higher means lower loss -- for various frequencies and capacitances:
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:


{| border="1" class="wikitable" align="center"
{| border="1" class="wikitable" align="center"
!style="background:#f0f0f0"|
!style="background:#f0f0f0"|Capacitive Reactance
!style="background:#f0f0f0"|100hz
!style="background:#f0f0f0"|100hz
!style="background:#f0f0f0"|200hz
!style="background:#f0f0f0"|200hz
Line 118: Line 118:
!style="background:#f0f0f0"|50,000hz
!style="background:#f0f0f0"|50,000hz
|-
|-
|style="background:#f0f0f0"|10pF
|style="background:#f0f0f0"|100pF (0.1nF)
|159,155,078
|79,577,539
|31,831,016
|15,915,508
|7,957,754
|3,183,102
|1,591,551
|795,775
|318,310
|-
|style="background:#f0f0f0"|20pF
|79,577,539
|39,788,769
|15,915,508
|7,957,754
|3,978,877
|1,591,551
|795,775
|397,888
|159,155
|-
|style="background:#f0f0f0"|50pF
|31,831,016
|15,915,508
|6,366,203
|3,183,102
|1,591,551
|636,620
|318,310
|159,155
|63,662
|-
|style="background:#f0f0f0"|100pF
|15,915,508
|15,915,508
|7,957,754
|7,957,754
Line 162: Line 129:
|31,831
|31,831
|-
|-
|style="background:#f0f0f0"|200pF
|style="background:#f0f0f0"|200pF (0.2nF)
|7,957,754
|7,957,754
|3,978,877
|3,978,877
Line 173: Line 140:
|15,916
|15,916
|-
|-
|style="background:#f0f0f0"|500pF
|style="background:#f0f0f0"|500pF (0.5nF)
|3,183,102
|3,183,102
|1,591,551
|1,591,551
Line 184: Line 151:
|6,366
|6,366
|-
|-
|style="background:#f0f0f0"|1,000pF
|style="background:#f0f0f0"|1,000pF (1nF)
|1,591,551
|1,591,551
|795,775
|795,775
Line 195: Line 162:
|3,183
|3,183
|-
|-
|style="background:#f0f0f0"|2,000pF
|style="background:#f0f0f0"|2,000pF (2nF)
|795,775
|795,775
|397,888
|397,888
Line 206: Line 173:
|style="background:#FFFACD"|1,592
|style="background:#FFFACD"|1,592
|-
|-
|style="background:#f0f0f0"|5,000pF
|style="background:#f0f0f0"|5,000pF (5nF)
|318,310
|318,310
|159,155
|159,155
Line 217: Line 184:
|style="background:#FFFACD"|637
|style="background:#FFFACD"|637
|-
|-
|style="background:#f0f0f0"|10,000pF
|style="background:#f0f0f0"|10,000pF (10nF)
|159,155
|159,155
|79,578
|79,578
Line 228: Line 195:
|style="background:#FFFACD"|318
|style="background:#FFFACD"|318
|-
|-
|style="background:#f0f0f0"|20,000pF
|style="background:#f0f0f0"|20,000pF (20nF)
|79,578
|79,578
|39,789
|39,789
Line 239: Line 206:
|style="background:#FFFACD"|159
|style="background:#FFFACD"|159
|-
|-
|style="background:#f0f0f0"|50,000pF
|style="background:#f0f0f0"|50,000pF (50nF)
|31,831
|31,831
|15,916
|15,916
Line 250: Line 217:
|style="background:#FFFACD"|64
|style="background:#FFFACD"|64
|-
|-
|style="background:#f0f0f0"|100,000pF (100nF)
|15,916
|7,958
|3,183
|style="background:#FFFACD"|1,592
|style="background:#FFFACD"|796
|style="background:#FFFACD"|318
|style="background:#FFFACD"|159
|style="background:#FFFACD"|80
|style="background:#FFFACD"|32
|-
|style="background:#f0f0f0"|200,000pF (200nF)
|7,958
|3,979
|style="background:#FFFACD"|1,592
|style="background:#FFFACD"|796
|style="background:#FFFACD"|398
|style="background:#FFFACD"|159
|style="background:#FFFACD"|80
|style="background:#FFFACD"|40
|style="background:#FFFACD"|16
|-
|style="background:#f0f0f0"|500,000pF (500nF)
|3,183
|style="background:#FFFACD"|1,592
|style="background:#FFFACD"|637
|style="background:#FFFACD"|318
|style="background:#FFFACD"|159
|style="background:#FFFACD"|64
|style="background:#FFFACD"|32
|style="background:#FFFACD"|16
|style="background:#FFFACD"|6
|}
|}



Revision as of 05:04, 3 May 2011

File:IMG 1546.JPG
2 conductor copper speaker wire
File:IMG 1548.JPG
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. The two wires are electrically identical, but are marked (e.g. by a ridge on the insulation of one wire, the color of one wire, a thread in one wire, etc) to help easily identify the correct polarity.

Some historic designs also featured another pair of wires for electrical power for an electromagnet in the loudspeaker. At least one such speaker design is still in production (in France), but essentially all speakers manufactured now use permanent magnets, a practice which displaced field electromagnet speakers over half a century ago.

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 also been a matter of much debate.

Explanation

Speaker wire, like any other linear electrical component, has three properties which determine its performance: resistance, capacitance, and inductance. A theoretically perfect wire has no resistance, capacitance, or inductance. The shorter a wire, the closer it comes to this, because resistance increases with the length of the conductor (except superconductors). The wire's resistance has the greatest effect on its performance.[1] The capacitance and inductance of the wire has less effect because they are insignificant relative to the capacitance and inductance of the loudspeaker. Larger conductors (smaller wire gauge) have less resistance but increased skin effect. 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 quality of construction, price, 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 subjective benefit, but it is irrelevant to electrical characteristics. Better purification of oxidizing materials such as copper is said to result in more consistent conductive properties throughout the length of the wire, but this is a non-issue in terms of its effect on sound quality. 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.

Even with poor-quality wire, an audible degradation of sound may not exist. Many supposedly audible differences in speaker wire can be attributed to listener bias or the placebo effect. Listener bias is enhanced in no small part by the popular manufacturers' practice of making claims about their products either with no valid engineering or scientific basis, or of no real-world significance. Many manufacturers catering to audiophiles (as well as those supplying less expensive retail markets) also make unmeasurable, if poetic, claims about their wire sounding open, dynamic, or smooth. To justify these claims, many cite electrical properties such as skin effect, characteristic impedance of the cable, or resonance, which are generally little understood by consumers. None of these has any measurable effect at audio frequencies, though each matters at radio frequencies[2].

Resistance

Resistance is by far the most important specification of speaker wire. Low-resistance speaker wire allows more of the amplifier's power to energize the loudspeaker's voice coil. The shorter the cable and the greater the conductor's cross-sectional area, the lower its resistance. 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 (coiled wire acts as an inductor), 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.

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.[3] As speaker resistance 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[3]
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).[3]

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.

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 OFC (Oxygen Free Copper). This cabling is really the process of removing oxygen and other impurities of this copper type that makes it better quality, longer lasting, less opt to corrode, and most importantly less resistance.

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 it does not oxidize, so it can be used for wire-end terminations. Suitably specified gold flashing has its uses for appropriate tasks, but in domestic use such flashing is not normally functional, for several reasons.

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[4], 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:

...where:

  • is the frequency in hertz; and
  • is the capacitance in farads.

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:

Capacitive Reactance 100hz 200hz 500hz 1,000hz 2,000hz 5,000hz 10,000hz 20,000hz 50,000hz
100pF (0.1nF) 15,915,508 7,957,754 3,183,102 1,591,551 795,775 318,310 159,155 79,578 31,831
200pF (0.2nF) 7,957,754 3,978,877 1,591,551 795,775 397,888 159,155 79,578 39,789 15,916
500pF (0.5nF) 3,183,102 1,591,551 636,620 318,310 159,155 63,662 31,831 15,916 6,366
1,000pF (1nF) 1,591,551 795,775 318,310 159,155 79,578 31,831 15,916 7,958 3,183
2,000pF (2nF) 795,775 397,888 159,155 79,578 39,789 15,916 7,958 3,979 1,592
5,000pF (5nF) 318,310 159,155 63,662 31,831 15,916 6,366 3,183 1,592 637
10,000pF (10nF) 159,155 79,578 31,831 15,916 7,958 3,183 1,592 796 318
20,000pF (20nF) 79,578 39,789 15,916 7,958 3,979 1,592 796 398 159
50,000pF (50nF) 31,831 15,916 6,366 3,183 1,592 637 318 159 64
100,000pF (100nF) 15,916 7,958 3,183 1,592 796 318 159 80 32
200,000pF (200nF) 7,958 3,979 1,592 796 398 159 80 40 16
500,000pF (500nF) 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 3000 ohms or less of capacitive reactance. Therefore, to keep audible (up to 20,000hz) losses below 1%, the total capacitance in the cabling must be kept below about 2700pF.

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:

...where:

  • is the frequency in hertz; and
  • is the capacitance in henrys.

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:

100hz 200hz 500hz 1,000hz 2,000hz 5,000hz 10,000hz 20,000hz 50,000hz
0.1μH 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.2μH 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1
0.5μH 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.2
1μH 0.0 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.3
2μH 0.0 0.0 0.0 0.0 0.0 0.1 0.1 0.3 0.6
5μH 0.0 0.0 0.0 0.0 0.1 0.2 0.3 0.6 1.6
10μH 0.0 0.0 0.0 0.1 0.1 0.3 0.6 1.3 3.1
20μH 0.0 0.0 0.1 0.1 0.3 0.6 1.3 2.5 6.3
50μH 0.0 0.1 0.2 0.3 0.6 1.6 3.1 6.3 15.7
100μH 0.1 0.1 0.3 0.6 1.3 3.1 6.3 12.6 31.4
200μH 0.1 0.3 0.6 1.3 2.5 6.3 12.6 25.1 62.8
500μH 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 20,000hz) losses below 1%, the total inductance in the cabling must be kept below about 2μH.

Ordinary lamp cord has an inductance of 0.1-0.2μH/foot, 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.

Terminations

Speaker wire terminations are optional and largely for convenience. Bare wire ends work just as well electrically, and may work better mechanically as adding a termination introduces another potential point of error in installation or failure over time. The most common termination types are solder-tinned wire ends, soldered or crimped pin or spade lugs, banana plugs, and 2-pin DIN connectors. Which type to use is determined by the connectors on the equipment at each end of the wire.

Some terminations are gold plated, which is of no functional use on consumer equipment speaker lines, except to help market equipment to end users unfamiliar with the relevant principles. In a moist environment, gold-plated connectors can resist corrosion better than some other materials, although they should only be mated with other gold-plated connectors as galvanic corrosion may otherwise occur. [3]

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).

There are also several types of proprietary connectors, though these are largely on all-in-one entertainment centers and bookshelf stereo systems.

In recent years, the Neutrik speakON connector is appearing more and more on professional audio equipment. One reason is simple: in many European countries the banana plug can fit into 230 V main electrical sockets. A mistake will damage equipment, and could possibly injure or kill someone as well. Recent EU regulations prohibit banana plugs in non-AC equipment, unless equipped with a safety pin mechanism preventing insertion into a wall outlet; there is such a connector available (from WBT Connectors), but it is not widely used.[citation needed]

Additionally, the Neutrik speakON connector twists to lock in place, preventing one cause of intermittent failure, and accidental disconnection common in well-used banana plug connections. The speakON also carries more current than heavy-duty 15 A 0.25 in (6.4 mm) phone plugs (originally used in the telephone industry), and does not short two conductors together at insertion/removal.

See also

References

  1. ^ ProCo Sound. Whitepapers. Understanding Speaker Cables
  2. ^ http://sound.westhost.com/cables.htm
  3. ^ a b c d Russell, Roger (1999–2007). "Speaker Wire - A History". Roger Russell. Retrieved 17 July 2009.{{cite web}}: CS1 maint: date format (link)
  4. ^ capacitance