If capacitors are connected in series, without a wire(direct connection between the terminals), what resistance will increase as more \$ C_N \$ are added?
Internal resistance? Or, the resistance of the metals terminals? Or both?
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The capacitors internal resistance is termed it's ESR (equivalent series resistance). The total will be the sum of all the capacitors. The lead resistance will also increase by the same factor but this is likely to be insignificant.