From: "Saved by Internet Explorer 11" Subject: Speaker Impedance. Date: Mon, 14 Mar 2016 15:11:01 -0700 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01D17E03.B89F62F0" X-MimeOLE: Produced By Microsoft MimeOLE V6.1.7601.17609 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01D17E03.B89F62F0 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.angelfire.com/electronic/funwithtubes/Speaker_Impedance.html Speaker Impedance.=20 =20 =20 =20

Speaker Impedance.


A discussion on the Fun With Tubes email forum prompted the = creation of=20 this page. What is the impedance of a speaker at different = frequencies? Is=20 an eight ohm speaker really eight ohms? These questions will be = answered=20 below.=20

Not Frequency Response!

The curves = presented below=20 are NOT the frequency response of the speakers being = tested. =20 They are the impedance of the voice coils and associated crossover = networks=20 in speakers that have them. Note: (I would like to run frequency = response=20 curves but I can't find my calibrated microphone. I put it in a = safe place=20 that is so safe I don't know where it is.)=20

Instrumentation.

The instrument used to make these = measurements is a=20 SYSCOMP CGR-101. =20

data Presentation.

Some of you may have difficulty with the = idea of=20 presenting impedance in dB. But remember that dB is a ratio. In = this case=20 we are using the equation,=20

dB =3D 20 Log (V/I)

The network analyzer function of the CGR-101 plots a graph which = is,=20

dB =3D 20 Log(V(Channel B) / V(Channel A))

So all I have to do is apply a voltage to channel A which is = directly=20 proportional to the current through the DUT (device under test). A=20 transistor with a resistance in its emitter that is large compared = to the=20 resistance in the collector is an excellent current source.=20

=20

Figure 1 Current Source to Drive Speaker.=20

The signal source has a low impedance and is DC = coupled=20 which eliminates the need for any biasing resistors in the base = circuit. =20 The CGR-101 inputs have no AC mode which requires an external = blocking=20 capacitor. I am sure there is at least one person shouting at their = computer screen "THERE IS DC ON THE SPEAKER VOICE COIL!!!" True. = But it is=20 so small as to have no detectable effect on the results. If you own = one of=20 these instruments and you want to duplicate the results on your own = speakers=20 you may have to adjust the value of the 3.9 k ohm resistor. It's = purpose is=20 to trim the gain of the current source so it gives exactly -30 dB on = the=20 graph with an 8.00 ohm resistor connected as the DUT. The impedance = is=20 found by,=20

Z =3D 8 x 10((dB+30)/20)

For example suppose the dB reading from the graph is -25 dB.=20

Z =3D 8 x 10((-25+30)/20) =3D 14.23 ohms. =

Reference Resistor =3D 8.000 ohms.

We will start by = verifying the=20 accuracy of the instrument. The resistor used has been verified to = have a=20 resistance of 8.000 ohms DC to 100 kHz and 8.00 ohms to 1 MHz =20

=20

Figure 2 Photo of 8.000 ohm Reference Resistor.=20

=20

Figure 3 Graph of reference resistor.=20

The graph deviates from -30 dB by +/- 0.13 dB. This is a=20 resistance error of 1.51%. We will learn later that the instrument = isn't=20 really this accurate.=20

Eight Ohm Dummy Load Connected by its Two Foot Cable.

The = measured=20 resistance of the dummy load =3D 7.992 ohms through its 2 foot = cable. It was=20 measured with a DER EE LCR Meter model DE-5000. They are available = all over=20 the web, just do a Google search.

=20

Figure 4 Photo of 8 ohm Dummy Load Resistor.=20

=20

Figure 5 Graph of Dummy Load Resistor.=20

The graph starts out at -30.00 dB. Rises to -29.87 @ 90 = to 100=20 kHz.
The phase =3D 4.8 degrees @ 75 to 100 kHz.=20

Koss Speaker.

These little speakers were originally part of = a reverb=20 package made by Koss, the headphone people. The idea was to place = the=20 speakers at the rear of the listening room for a pseudo quadraphonic = effect.=20 The electronics box had the reverb and two power amplifiers to = drive the=20 speakers. I was not impressed with the effect and eventually I = threw the=20 electronics away but kept the speakers. For a long time I used them = as=20 monitors for doing mixes. They are currently in disuse but I don't = plan to=20 get rid of them. They have a real good sound.=20

First with Short Leads.

The leads are approximately 8 inches = long=20 with alligator clips on one end and stripped ends on the other. = These ends=20 are inserted into the breadboarding socket on which the current = source is=20 assembled. Practically speaking this is about as short as the leads = can be.=20

=20

Figure 6 Photo of Koss Speaker.=20

=20

Figure 7 Graph of Koss Speaker Connected by Short Leads.=20

The table below comes from the graph. While the program = is live=20 there is a cursor that gives a readout of its coordinates. While = you can=20 look at the graph I thought it would be helpful to give exact = coordinates,=20 or as exact as possible, of certain key points such as maxima and = minima as=20 well as specific frequencies along that axis. These data were = entered into=20 a spreadsheet. The column headed "Impedance (ohms)" was calculated = by the=20 formula stated above which was entered into that column. The = spreadsheet=20 was then copied and pasted into a word page and saved as a filtered = HTML=20 file. The file was then integrated into the file for this page.=20

Frequency

Magnitude

Impedance

Phase=20 Angle

Remarks

(Hz)

(dB)

(ohms)

(degrees)

20

-30.67

7.41

10.8

-

50

-29.20

8.77

12.0

-

100

-27.20

11.04

13.2

-

131

-

-

0.0

Angle zero = crossing.

137

-24.67

14.78

-6.0

Magnitude = peak.

200

-28.90

9.08

-27.6

-

500

-31.33

6.86

-10.8

-

1 k

-31.60

6.65

-8.4

-

3.56 k

-

-

0.0

Angle zero = crossing.

4.28 k

-33.87

5.12

-

Magnitude = valley.

10 k

-32.46

6.03

25.2

-

20 k

-30.13

7.88

37.2

-

50 k

-26.06

12.59

44.4

-

100 k

-22.40

19.19

49.2

-

Koss With Five Foot Cable.

Testing speakers with 8 inch = leads=20 doesn't make much sense when it is impossible to use them that way. = Oh yes,=20 you could use monoblock amplifiers located right at the speakers or = even=20 inside the box but only the purest of the pure audio files will go = to such=20 lengths. Most of us mere mortals use leads which are a minimum of 5 = feet to=20 connect our integrated amplifiers to our speaker systems.=20

=20

Figure 8 Graph of Koss Speaker Connected by Five Foot Leads.=20

Frequency

Magnitude

Impedance

Phase Angle

Ramarks

(Hz)

(dB)

(ohms)

(degrees)

20

-30.53

7.53

9.6

 

50

-29.20

8.77

12.0

 

100

-27.20

11.04

12.0

 

132

-

-

0.0

Angle zero=20 crossing

145

-24.53

15.02

-

Impedance=20 Peak

200

-28.67

9.32

-26.4

 

500

-31.33

6.86

-10.8

 

1=20 k

-31.47

6.75

-8.4

 

1.37=20 k

-

-

0.0

Angle zero=20 crossing

4.70=20 k

-33.73

5.21

7.2

Impedance=20 Valley

10=20 k

-32.46

6.03

28.2

 

20=20 k

-30.00

8.00

37.2

 

50=20 k

-25.87

12.87

45.6

 

100=20 k

-22.13

19.80

49.2

 

The errors between short and long leads are within the accuracy = of the=20 instrument as will be shown later. The long leads consisted of 5 = feet of=20 number 16 lamp cord, sometimes known as zip cord. This should lay = to rest=20 the claims that the speaker leads make a difference. It should but = it=20 probably won't.=20

Radio Shack Minimus 0.5

=20

Figure 9 Photo of Minimus Speaker.=20

Radio Shack's Minimus line of products was interesting. = It was=20 a small low priced set of audio components. I used to own the = amplifier and=20 one Minimus 7 speaker. Why only one? I don't remember. I no = longer can=20 find either one so I must have given them away. A friend who was = also an=20 audio experimenter once bought 12 Minimus 0.5 speakers to play with = what he=20 called Google-aphonic sound. He tired of it rather quickly and gave = me 4 of=20 the speakers. I must have had some experiment of my own in mind but = I don't=20 remember ever carrying it out. So I have these 4 little speakers. = I might=20 as well run the impedance on them and I'll do short and long leads = again to=20 get another benchmark on the effect of leads.=20

Short Leads.

=20

Figure 10 Graph of Minimus Speaker Connected by Short Leads.=20

Frequency

Magnitude

Impedance

Phase Angle

Remarks

(Hz)

(dB)

(ohms)

(degrees)

20

-30.53

7.53

1.2

 

50

-30.67

7.41

3.6

 

100

-30.53

7.53

8.4

 

200

-29.39

8.58

18.0

 

300

-24.67

14.78

0.0

Impedance = peak

500

-30.40

7.64

-4.8

 

544

-30.53

7.53

-

Impedance = valley

1=20 k

-30.00

8.00

7.6

 

2=20 k

-29.20

8.77

16.8

 

10=20 k

-24.67

14.78

37.2

 

20=20 k

-21.60

21.04

45.6

 

50=20 k

-17.07

35.45

49.2

 

100=20 k

-13.20

55.35

51.6

 

=20

Figure 11 Graph of Minimus Speaker Connected by Long Leads.=20

Frequency

Magnitude

Impedance

Phase Angle

Remarks

(Hz)

(dB)

(ohms)

(degrees)

20

-30.80

7.30

1.2

 

50

-30.67

7.41

4.8

 

100

-30.67

7.41

7.2

 

200

-29.46

8.51

18.0

 

296

-24.80

14.56

0.0

Impedance = peak

500

-30.40

7.64

-3.6

Impedance = valley

600

-30.40

7.64

-

Impedance = valley

1=20 k

-30.13

7.88

7.2

 

2=20 k

-29.20

8.77

16.8

 

10=20 k

-24.67

14.78

38.4

 

20=20 k

-21.47

21.36

48.6

 

50=20 k

-16.93

36.02

50.4

 

100=20 k

-13.07

56.18

50.4

 

Things seem to have changed in the wrong direction. I figure = this is due=20 to instrument warm-up rather than the effect of the leads. I think = the=20 effect of speaker leads can be largely discounted at least for the = length=20 tried so far. =20

The next day I tried running the curves again as close together = in time=20 as I could. The frequencies of the peak were in agreement with each = other=20 but were 291 Hz. So I guess when you pay 190 dollars for an = instrument you=20 aren't going to get HP Agilent accuracy and stability.=20

Due to the size of the next speakers to be tested it is no longer = practical to connect them with short leads. The 5 foot length of = number 16=20 cable will be used for all of the remaining speakers. =20

Sony APM-X250.

=20

Figure 12 Photo of Sony Speaker.=20

I was actually forced to buy these speakers to get a Sony=20 component TV tuner and a stereo sound adapter. Sony didn't = understand the=20 concept of component systems. They sold components as a package and = wouldn't sell them parts at a time. Sony got out of the component = TV=20 business because their systems didn't sell. I wonder why? Sony was = also=20 rather stupid about the Beta VCR system. It was clearly a superior = system=20 but they refused to allow other companies to manufacture it. = Meanwhile JVC,=20 creator of the VHS system, would license anyone who asked. How = different=20 the history of TV would have been if there had been intelligent life = on=20 planet Sony. I stored the speakers for a while and eventually found = a use=20 for them.

=20

Figure 13 Graph of Sony Speaker.=20

Frequency

Magnitude

Impedance

Phase Angle

Remarks

(Hz)

(dB)

(ohms)

(degrees)

10

-31.20

6.97

9.6

 

20

-30.93

7.19

15.6

 

50

-27.87

10.22

37.2

 

84.7

-15.47

42.62

-

Impedance peak

87.9

-

-

0.0

Angle=20 zero crossing

100

-17.87

32.33

-36.0

 

200

-29.73

8.25

-31.2

 

390

-31.20

6.97

-3.6

Impedance valley

426

-

-

0.0

Angle=20 zero crossing

500

-30.80

7.30

2.4

 

1=20 k

-30.00

8.00

21.6

 

2=20 k

-27.87

10.22

38.4

 

5=20 k

-22.67

18.60

54.0

 

10=20 k

-17.47

33.85

58.8

 

20=20 k

-9.07

89.04

50.4

 

28.6=20 k

-

-

0.0

Angle=20 zero crossing

29.1=20 k

-2.00

200.95

-

Impedance peak

50=20 k

-12.00

63.55

-76.8

 

100=20 k

-22.80

18.33

-85.2

 

Now I see why this speaker makes some tube amplifiers oscillate.=20

Radio Shack Realistic Nova 7.

=20

Figure 14 Photo of Nova 7 Speaker.=20

=20

Figure 15 Graph of Nova 7 Speaker.=20

Frequency

Magnitude

Impedance

Phase Angle

Remarks

(Hz)

(dB)

(ohms)

(degrees)

10

-29.33

8.64

14.4

 

20

-28.27

9.76

26.4

 

49.7

-14.67

46.73

-

Impedance = peak

50.6

-

-

0.0

Angle zero = crossing

100

-28.53

9.48

26.4

 

139

-29.73

8.25

-

Impedance = valley

180

-

-

0.0

Angle zero = crossing

200

-28.93

9.05

3.6

 

500

-24.80

14.56

-

 

544

-

-

0.0

Angle zero = crossing

643

-24.13

15.72

-

Impedance = peak

1=20 k

-27.07

11.21

-31.2

 

2.12=20 k

-32.00

6.35

-

Impedance = valley

2.42=20 k

-

-

0.0

Angle zero = crossing

5=20 k

-30.13

7.88

18.0

 

10=20 k

-28.13

9.92

25.2

 

20=20 k

-26.00

12.68

31.2

 

50=20 k

-22.93

18.05

33.6

 

100=20 k

-20.40

24.16

36.0

 

JVC SK 500II

=20

Figure 16 Photo of JVC Speaker.=20

I bought this set of speakers along with a JVC receiver to = be=20 the sound component of the AV (audio video) system that superseded = the Sony=20 components. I gave away the receiver after buying a Radio Shack AV = receiver=20 that would tune AM/FM/TV. I hung on to the speakers and they are = still=20 serving that function.

=20

Figure 17 Graph of JVC Speaker.=20

Frequency

Magnitude

Impedance

Phase Angle

Remarks

(Hz)

(dB)

(ohms)

(degrees)

10

-29.20

8.77

25.2

 

15.3

-26.40

12.11

-

Impedance = peak

18.0

-

-

0.0

Angle zero = crossing

20

-27.33

10.88

-2.4

 

42.0

-29.33

8.64

-

Impedance = valley

42.1

-

-

0.0

Angle zero = crossing

50

-29.06

8.91

3.8

 

72.4

-

-

0.0

Angle zero = crossing

75.8

-24.80

14.56

-

Impedance = peak

100

-29.33

8.64

-27.6

 

167

-31.73

6.56

-

Impedance = valley

190

-

-

0.0

Angle zero = crossing

200

-31.47

6.75

0.6

 

500

-29.73

8.25

19.2

 

1=20 k

-26.27

12.29

20.4

 

1.80=20 k

-

-

0.0

Angle zero = crossing

1.91=20 k

-23.07

17.77

-

Impedance = peak

5=20 k

-32.40

6.07

-31.2

 

7.45=20 k

-34.40

4.82

-

Impedance = valley

7.59=20 k

-

-

0.0

Angle zero = crossing

10=20 k

-33.47

5.37

16.8

 

20=20 k

-29.73

8.25

37.2

 

50=20 k

-24.93

14.34

44.4

 

100=20 k

-21.33

21.71

44.4

 

SPL 99.

=20

Figure 18 Photo of SPL 99 Speaker.=20

SPL stands for Sound Power Laboratories. I have saved the = best=20 for last. These are my primary listening speakers which are part of = the=20 best system in the house. I bought them in 1972, I think, After = some=20 careful listening. I think they were about $200 or $250 each. That = was a=20 lot of money in those days when you could buy a house for $18,000 = and a new=20 car for $3600. The woofer is an acoustic suspension type. About 10 = years=20 ago the rim around the woofer disintegrated as old plastic is want = to do and=20 I had to replace the woofers with some from Radio Shack. The bass = was=20 almost as good but there was a small difference. =

=20

Figure 19 Graph of SPL 99 Speaker.=20

Frequency

Magnitude

Impedance

Phase Angle

Remarks

(Hz)

(dB)

(ohms)

(degrees)

10

-30.67

7.41

9.6

 

20

-30.40

7.64

8.4

 

50

-26.40

12.11

9.6

 

53.4

-

-

0.0

Angle zero = crossing

54.4

-25.87

12.87

-

Impedance = peak

69.4

-

-

-20.4

Angle = Valley

100

-

-

-4.8

 

106

-31.33

6.86

-

Impedance = valley

144

-

-

0.0

Angle zero = crossing

200

-29.60

8.38

9.6

 

356

-27.47

10.71

0.0

Impedance = peak

500

-28.53

9.48

-10.8

 

1=20 k

-31.33

6.86

-9.6

 

1.42=20 k

-

-

0.0

Angle zero = crossing

1.50=20 k

-31.87

6.45

-

Impedance = valley

2=20 k

-31.73

6.56

8.4

 

5=20 k

-29.73

8.25

20.4

 

10=20 k

-27.73

10.39

26.4

 

20=20 k

-25.73

13.08

27.6

 

50=20 k

-23.33

17.24

30.0

 

100=20 k

-21.07

22.37

34.8

 

I think you can tell by the graphs and numbers that these really = are the=20 best speakers in the house.=20

Conclusion.

For all of my life I have heard that the = impedance of a=20 speaker is quite variable over the audio frequency range. I didn't = doubt it=20 but I have only seen one speaker manufacturer who published = impedance curves=20 for their speakers. I think the curves were fore the Altec-Lancing = Voice of=20 the Theater. That speaker system has always been financially out of = reach=20 for me. Even that stratospheric end system had a lot of = variability. =20

My SPL systems have an impedance variation of -25% to +50% which = seems=20 like a kindness to amplifiers. Whether tube or transistor, an = amplifier=20 would prefer to drive an impedance that is higher than it was = designed for=20 rather than lower.=20

Measurements on Your Speakers.

If you want to know what the=20 impedance versis frequency of your speakers is you can buy the = instrument=20 for 190 dollars. I have given enough information to enable you to = duplicate=20 the experiment on your own. If you would like me to do it for you I = will=20 for a price. And in addition you have to pay for shipping both = ways. =20 Clearly it would be less expensive to just pay the 200 dollars and = get the=20 instrument.

This page last updated April 6, 2014.=20

Home= >

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