A diode bridge does many things including;
- Multiply the fundamental frequency x2
- divide the Vpp ac in half
DC shunt caps have ripple charged by rectangular current pulses whenever bridge voltage exceed Vcap
But during the conduction transition, when diodes turn Off , there is an RF resonance with a Vpp amplitude equal to the diode drop, due to series line inductance, load capacitance and back EMF pulse from the switched current cutoff in the line inductance. Although this is a differential current loop, imbalance in the bridge load when one side is grounded, causes a large CM noise leakage which when the impedance is raised by a CM choke is then suppressed in both directions by the C-L-C or "Pi" filter ,which is symbolicly shaped like the Greek letter, ∏ or π.
Contractor's get paid to do work, not teach newbies.