In my case, it was so that my LCD TV has no headphone jack, with this cable but you can easily connect headphones! One should note that can not be controlled the volume of the headphones! The TV can be silent or have maximum volume, the volume that you hear through your headphones always remains at the same level!
So you have to additionally buy a volume control, or alternatively as I did, put external speakers to the cable here, and then in the (if the have) to connect the earphones and Wola, everything can be easily set)
Mfg, Kevin