I'm playing around with an REF5010 voltage reference, and its data sheet specifies an output capacitor with an ESR of 1 to 1.5Ω for best performance. Now when I measure the ESR of electrolytic capacitors it varies widely depending on the frequency (I have an U1733C LCR-meter that can measure at 100Hz, 1kHz, 10kHz and 100kHz).
The Wikipeadia article on ESR says
If not otherwise specified, the ESR is always an AC resistance measured with standardized frequencies.
but fails to provide details.
Which frequency (maybe depending on circumstances?) is used for determining the ESR of capacitors?
Best Answer
This unfortunately depends very much on the application. Most low ESR ('low Z'), low voltage (6.3V and lower) electrolytics (e.g. conductive polymer 'solid' capacitors, power supply output filter capacitors) are characterized at 100kHz. Other bulk capacitors (usually 10-63V) which explicitly give ESR in their datasheets are most often characterized at 10kHz. If your application requires knowledge of ESR, this is what you are looking for.
However, general purpose capacitors seldomly have ESR as a statistic in their datasheets. They often only have the loss tangent (tan \$\delta\$) in the datasheet. This is measured most often at 120Hz, but in some cases also at 1kHz. There is usually no use in trying to measure these capacitors at 10 or 100kHz, because the internal construction prioritizes volumetric capacity over impedance, and the ESL makes the capacitors virtually useless at higher frequencies.
And now I'm only talking about aluminum electrolytics - there are many more nuances to this story when you start looking at other build-ups, like metallized film and ceramic capacitors.
So to answer your question: ALL THE FREQUENCIES.