Design Article
Selecting resistors for preamp, amplifier and other high-end audio applications
Dr. Michael Belman (Vishay Intertechnology) and Yuval Hernik (Vishay Precision Group)
8/25/2010 3:30 AM EDT
High-end analog audio applications require low intrinsic noise, high linearity of amplification, and minimal dynamic distortion. The typical audio amplifier consists of a voltage preamplifier (preamp) and power amplifier (final driver). The voltage preamplifier deals with low-level signals. That is why its intrinsic noise level is critical. Resistors are among the principal noise sources in the amplifiers.
The main requirements for the audio power amplifier are high linearity of amplification and minimal dynamic distortion. Foil resistors are characterized by very low intrinsic non-linearity of the resistive element, which is made from bulk metal. Wirewound resistors and some metal film resistors have similar non-linearity characteristics, but in the real world the intrinsic linearity of the resistors is not sufficient to ensure linearity of amplification.
Audio power amplifiers are often based on a circuit design that is similar to an operational amplifier (Fig. 3, below).

Its gain
depends on the R2/R1 resistance ratio in the negative feedback voltage divider. The resistors R1 and R2 dissipate power
and
respectively. Therefore
P2 / P1 = R2 / R1
Commonly k > 2 and consequently R2 > R1. This means that the power dissipation and temperature rise in resistor R2 will always exceed the power dissipation and temperature rise in resistor R1.
Even if both resistors have the same TCR (ideal case) the gain of the amplifier will vary because the R2/R1 ratio will depend on output voltage VO. Thus spikes and pulses that are typical for sound signals may result in transient changes of amplifier gain. The result is a nonlinearity of dependence between input voltage VI and output voltage VO (Fig. 4, below).

This phenomenon is called temperature-induced nonlinearity of amplifier [4]. It is caused by resistor self-heating which is characterized quantitatively by power coefficient of resistance (PCR) [5]. The way to abate PCR is to choose R1 and R2 resistors having minimal absolute TCR values.
For example, a load of 0.3 W was applied simultaneously to three 1206-size chip resistors manufactured using different technologies:
- Thick-film chip resistor with TCR of about + 42ppm/°C
- Thin-film chip resistor with TCR of about + 4 ppm/°C
- Bulk Metal Foil based on the Z-Foil technology with TCR of about -0.1 ppm/°C.
The results are shown in the graph below.

The stabilized values of relative resistance changes are the following:
- Thick-film chip resistor: +2000 ppm;
- Thin-film chip resistor: -140 ppm;
- Bulk Metal Z-Foil: +5 ppm.
The Bulk Metal foil resistor is the preferable choice for audio amplifiers when high linearity of amplification and minimal dynamic distortion are required. In particular, Vishay Precision Group recommends the VAR, Z201, S102C, Z203, VSHZ, VSMP Series (0603-2018), VFCP Series, SMRXDZ Series resistors for noise-free performance in audio applications (www.foilresistors.com).
The authors wish to acknowledge the invaluable assistance of Joseph Szwarc in the preparation of this article.
Literature:
1. Resistor Theory and Technology. By Felix Zandman, Paul-Rene Simon, Joseph Szwarc. SciTech Publishing, 2002, 308 p.
2. Vasilescu Gabriel, Electronic Noise and Interfering Signals: Principles and Applications.- Springer-Verlag Berlin Heidelberg, 2005. 709 p.
3. Robust Electronic Design Reference Book. By Barnes, John R. Volume 1; 2004.
4. Analog Devices, Inc. Avoiding passive components pitfalls. Application note AN-348.
5. J. Szwarc. Current Sensing with a precision of a few parts per million within a fraction of a second. Proc. of IEEE COMCAS 2009.


Robotics Developer
8/25/2010 4:01 PM EDT
Thank you for an informative article! It was nice to have a refresher on the source(s) of noise and brings back memories of my earlier audiophile days.
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Guru of Grounding
8/26/2010 2:12 PM EDT
Many audio circuit designers seem to ignore the fact that, with regard to noise, all resistors are the same EXCEPT when DC flows through them - which, of course, causes the "excess noise". Most applications of resistors in audio circuits see no DC, yet many audiophiles believe that an expensive resistor will result in lower noise. Of course, low excess noise resistors are useful in applications where there DC does flow - the plate load resistors in vacuum-tube circuits, for example. This article seems to underplay that fact.
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milliganp
8/27/2010 7:32 AM EDT
The final graph is very dramatic, and a salutary reminder to do one's calculations. However to dissipate 0.3w in a 1K resistor would require 24v RMS, which is typical of a power amp rather than a low level circuit. In a low level circuit with output of 1v RMS and R2 =2k2 the stabilised resistance change would be 3ppm for the bulk resistor and 0.5ppm for thin film.
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kdboyce
9/7/2010 2:51 AM EDT
It is great to build very high quality audio amplifiers! But...that quality can be ruined by the speaker attached to the amp. So while this article is a welcome reminder about the importance of component selection, don't over-design the amp and under-design the speaker. And make sure the supply noise is not a contributor.
Oh, and the overall gain that is required will dictate what the noise performance of the amp stages should be.
Many applications simply do not require the ultra-low noise performance. The high performance is needed in the professional audio, recording, and measurement industries, and also for the audiophiles among us.
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Joe Geller
10/12/2010 12:36 PM EDT
This article was informative in describing noise considerations beyond thermal and current noise, such as temperature-induced nonlinearity.
However, the bold print lead in is “Experiments have sought to show why some resistors are ‘noisier’ than others”, suggesting perhaps the actual measurements of thermal and excess noise are naïve or useless in their incomplete nature. But, the authors then devote a page to thermal resistor noise calculations (J.B. Johnson, “Thermal Agitation of Electricity in Conductors”, Physical Review, vol. 32, July, 1928, page 97), and restate that carbon resistors are noisier than thin film resistors, and that metal foil resistors are best, seemingly well known information, even known to many non PhD “experimenters”.
The description and caution that one should consider temperature-induced nonlinearity in power applications (and don’t forget inductance, especially if you see spontaneous RF oscillations, a good point) is all helpful information. Probably many designers have not taken temperature-induced nonlinearity into proper account, where there is enough power dissipation for temperature-induced nonlinearity to be a factor. (As an earlier post points out, temperature-induced nonlinearity is likely to be insignificant in many small signal applications.)
On the other hand, since our 2007 JCan experiment article (on measuring thermal and excess noise) began with the line “You have probably heard someone say that some resistors are “noisier” than others”, the lead in title to this article, in my opinion, felt like a bit of a snobbish remark towards those of us “experimenters” who go to the effort to actually measure parameters. It is unclear why that negative approach was needed for an otherwise informative aggregation article.
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rpell2
10/15/2010 12:28 PM EDT
A reader has emailed the following comment:
On Page 36 of the Sept 27 EE Times story about "Selecting resistors for high-end audio applications", there is the following statement in the lower part of the left-hand column:
"The major objections to wirewound resistors are their inductance, which results in chopping of the signal peaks, and ----------."
That is the biggest pile of $%*$& that I have read in many years. If an inductor is a linear device, and all wirewound resistors that I have seen in 40+ years of electrical engineering have linear inductance, because they are not wound on iron cores, there is no way that the inductor will chop signal peaks, but leave the remaining portion of the signal alone/untouched. I fully agree that wirewound resistors can very easily be inductive as well as resistive, but there is no way they can "chop" signal peaks.
H. R. Hofmann,
Past President of the IEEE EMC Society,
President of Hofmann EMC Engineering
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rpell2
10/17/2010 12:41 PM EDT
The authors appreciate the feedback and have added a clarification to the article (see footnotes).
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jcdrisc
4/21/2011 9:46 PM EDT
Mr Hofmann is right. They certainly ARE linear inductive.
A w.w. resistor load from a MOSFET source follower caused oscillations. Tank. Capiche ?
I would add as well as Vishay's very good parts the British Company Welwyn is their standard for many resistors of all kinds.
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Nic Cohen
7/27/2012 4:19 AM EDT
What a superb, article and what incredible amplifiers to boot, not literally of course!
Nic
www.kdweb.co.uk
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Michael Dunn
3/2/2013 8:54 PM EST
When was this published...April 1?
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neevkidman
4/30/2013 5:37 PM EDT
Resistors and amplifiers are the best tools for any audio player. An audio player is not working means it has any problem in one of these two.
Neev
http://www.supremeconsultant.com/buy-dissertation-uk.html
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