What is the DC ESR for PN DMF3Z5R5H474M3DTA0

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Hello Michael,
Thank you for posting on the Digikey Tech Forum and welcome to our community!

Capacitors do not let DC current go through only AC, so theoretically it should have infinite DC resistance.
The capacitor still cannot handle past the rated voltage.

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Otherwise it looks like 45 milli-Ohm @ 1kHz AC per datasheet.