Line filters prevent excessive noise from being conducted between electronic equipment and the AC line. Noise is typically common to both lines and in the same direction.
Common mode chokes are designed so that common mode current creates a magnetic flux (through mutual inductance) that adds to attenuate the CM noise signal.
The normal (differential) mode currents create magnetic flux that ideally cancel each other out so the normal signal frequencies are not attenuated.
First order filters use a single common mode choke and are the least expensive to design vs. higher-order filters.
The required inductance value is just the load (in Ohms) divided by the radian frequency (2pi*f) at and above which the signal is to be attenuated, e.g. L=1.99 mH for 4 kHz cut-off into a 50 Ohm load. For a first-order filter, attenuation is 3 dB at the cut-off, increasing by 6 dB per octave at higher frequencies.
A first order common mode filter configuration would be as follows:
Second order filters use two reactive components (choke and cap) and have two advantages over the first order filter: