Filters are used with rectifiers to reduce the unwanted AC component (ripple) in the rectified DC output, making it smoother.
Capacitors act as filters by providing a low impedance path for the AC ripple current. They are connected in shunt (parallel) with the load. During the positive half-cycle when the diode conducts, the capacitor charges. When the voltage starts falling, the capacitor discharges slowly through the load, supplying current and maintaining a higher average voltage, thus reducing ripple.
Inductors act as filters by opposing changes in current. They have a high impedance to AC signals but low impedance to DC. Inductors are connected in series with the load. They resist the rapid fluctuations of the ripple current, allowing the smooth DC current to pass through to the load more effectively.
Therefore, the standard and effective configuration for filters using both capacitors and inductors with rectifiers involves connecting capacitors in shunt across the output and inductors in series with the output load.