A DC voltage applied across a capacitor causes charge to accumulate on one side; the electric field due to the accumulated charge is the source of the opposition to the current. When the potential associated with the charge exactly balances the applied voltage, the current goes to zero.
a DC Voltage aPPliEd acrOSs a CAPacitor CAusES chaRge To aCcumuLate on oNE SidE; thE elEcTRiC Field, duE To tHe accUmUlated ChaRge is THe sOurCE Of thE oPposition tO the cuRrEnt when the pOTenTial asSociated wiTh the char.ge exACtly BaLaNcEs The appLied voltagE the Current goEs to zerO.