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Together with its capacitance value, ESR defines a time constant for charging and discharging of the capacitor and thus how quickly the capacitor react on voltage/current changes/ripple. In practical smoothing applications capacitor technologies are combined in parallel, where high capacitance parts are taking care of bulk filtering (aluminum or tantalum capacitors) and small MLCC capacitors with low ESR are taking care of fast, high frequency spikes.
Electrolytic Capacitors
Ceramic Capacitors