REDUCE ripple voltage.The important property of the capacitor is that it passes the AC signal but blocks the DC signal and HENCE capacitor is used in the rectifier circuit. The REACTANCE of the capacitor is \({X_C} = \frac{1}{{j\omega C}}\)Where ω = angular frequencyC = CapacitanceFor the DC signal, ω = 0, so that XC is infinite (theoretically).For the AC signal, let assume ω = ω1. Now if ω1 is large, then XC will be small so that IMPEDANCE will be low.Hence AC signal will pass through the capacitor but it blocks the DC signal. So that it reduces the ripples in the rectifier circuit.