Monday 11 August 2014

Why does ceramic capacitor ESR change with frequency?


In most datasheets, I see a typical table which shows that ESR of ceramic capacitor changes with frequency. I understand that impedance of every kind of capacitor must have a minimum due to its inevitable serial inductance. But I don't understand why its ohmic resistance changes as well. Can you please explain this?


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Answer



ESR isn't necessarily physically a resistor in series with a capacitor. It's whatever resistor value gives the best approximation to the behavior of the capacitor when it's modeled with a series combination of ideal C, R, and L elements.


Since the resistor is the only one of those elements that causes power to be absorbed by the device, the ESR generally accounts for all the different power loss mechanisms in the device. This includes not just the resistive loss in the leads and terminals, but also the conductive loss in the dielectric.


As to why the ESR(f) curve has that particular shape, the increase at high frequencies is likely actually due to the lead resistance increasing due to skin effect. I can't explain the low frequency increase off the top of my head. My best guess is just that the ESR has to increase to model losses that actually come from a different mechanism (like dielectric loss).


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