Electronics Design Capacitor Impedance is less than ESR?

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Subject Author Date
Capacitor Impedance is less than ESR? John KD5YI 08-09-08
Posted by John KD5YI on August 9, 2008, 9:13 am
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If the two graphs are not swapped, I'm having a hard time with this

http://www.cde.com/catalogs/AFK.pdf

Last page, graph in the upper right compared to the graph immediately below
that.

My question is: How can the capacitor's impedance be lower than the
capacitor's ESR?

Thanks.

John


Posted by Phil Allison on August 9, 2008, 9:40 am
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"John KD5YI"
>
> If the two graphs are not swapped, I'm having a hard time with this
>
> http://www.cde.com/catalogs/AFK.pdf
>
> Last page, graph in the upper right compared to the graph immediately
> below that.
>
> My question is: How can the capacitor's impedance be lower than the
> capacitor's ESR?


** It ain't and the graphs do not say it is.

You have failed to realise the scales on the LHS are **ratios** - not
actual values.

What the graphs show is that:

1. ESR is fairly constant above 2 kHz and depends mostly on temperature -
ranging over 100:1 from -55C to +105C.

2. Impedance falls with rising frequency, but is limited by the series ESR
value at any temperature.



..... Phil



Posted by John KD5YI on August 9, 2008, 10:11 am
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>
> "John KD5YI"
>>
>> If the two graphs are not swapped, I'm having a hard time with this
>>
>> http://www.cde.com/catalogs/AFK.pdf
>>
>> Last page, graph in the upper right compared to the graph immediately
>> below that.
>>
>> My question is: How can the capacitor's impedance be lower than the
>> capacitor's ESR?
>
>
> ** It ain't and the graphs do not say it is.
>
> You have failed to realise the scales on the LHS are **ratios** - not
> actual values.
>
> What the graphs show is that:
>
> 1. ESR is fairly constant above 2 kHz and depends mostly on temperature -
> ranging over 100:1 from -55C to +105C.
>
> 2. Impedance falls with rising frequency, but is limited by the series
> ESR value at any temperature.
>
>
>
> ..... Phil


You are absolutely right. Indeed I failed to read "ratio" and took it for
absolute.

Thank you, Phil.

John


Posted by Helmut Sennewald on August 9, 2008, 9:44 am
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> If the two graphs are not swapped, I'm having a hard time with this
>
> http://www.cde.com/catalogs/AFK.pdf
>
> Last page, graph in the upper right compared to the graph immediately
> below that.
>
> My question is: How can the capacitor's impedance be lower than the
> capacitor's ESR?
>
> Thanks.
>
> John


Hello John,

You may have overlooked the meaning of the plot.

Upper plot: Ratio relative to ESR @120Hz, 25°
Lower plot: Ratio relative to impedance @120Hz, 25°

Impedance Z = 1/(jwC) + ESR

The ESR is only the resistive part(value) of the impedance.

At 120Hz, the value of 1/(w*C) is much larger than the ESR.
That's why the ratio in this impedance plot has suich low values
at higher frequencies.

Best regards,
Helmut





Posted by John KD5YI on August 9, 2008, 10:12 am
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>
>> If the two graphs are not swapped, I'm having a hard time with this
>>
>> http://www.cde.com/catalogs/AFK.pdf
>>
>> Last page, graph in the upper right compared to the graph immediately
>> below that.
>>
>> My question is: How can the capacitor's impedance be lower than the
>> capacitor's ESR?
>>
>> Thanks.
>>
>> John
>
>
> Hello John,
>
> You may have overlooked the meaning of the plot.
>
> Upper plot: Ratio relative to ESR @120Hz, 25°
> Lower plot: Ratio relative to impedance @120Hz, 25°
>
> Impedance Z = 1/(jwC) + ESR
>
> The ESR is only the resistive part(value) of the impedance.
>
> At 120Hz, the value of 1/(w*C) is much larger than the ESR.
> That's why the ratio in this impedance plot has suich low values
> at higher frequencies.
>
> Best regards,
> Helmut


You are correct, too, Helmut. I failed to read "ratio" on the graph.

Thanks.

John


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