Re: DAB is the only thing that works reliably here
Turn the mains plug round
Neutral to the chassis is still very much "live". In proper electrical parlance, both conductors are "live conductors". It just so happens that in most of the world, Neutral is tied to Earth (the real, physical Earth) at some point. That point may be at the service cutout (so N is never more than a very few Volts away from E), or back at the substation, delivered to the house usually as the metal sheath of the cable, in which case it might float a bit higher. In some installations there is still an earth rod involved at the house end, so the return path is through the bulk of Mother Earth and there can be tens of Volts between the Neutral (earthed at the substation) and the actual Earth you are standing on.
Thank goodness (these days) for RCDs.
M.