BBC Radio Sheffield's transmitters are as follows:
1. In Sheffield, on VHF using 0.3kW of power (i.e. the equivalent power to 3 old 100W lightbulbs, so there's not a cat in hell's chance of that signal reaching to Gateshead) ;
2. In Chesterfield, on VHF using 0.4kW (also with a zero chance of reaching Gateshead) ;
3. At Holme Moss, on the West Yorkshire moors , using 4.4kW on VHF but beamed to the south and east (so again unlikely to reach Gateshead) ;
4. In Sheffield, on Medium Wave and using just 1kW of power (so again highly unlikely to reach Gateshead and, even if the signal did get there, there could be interference from NorthSound 2, transmitting from the Highlands on the same frequency).
(To put that 1kW of power into context, I'll point out that the main Medium Wave transmitters for Radio 5 Live use either 150kW or 200kW. TalkSport has Medium Wave transmitters using 400kW and 500kW. 1kW isn't going to get very far!)
So, as I see it, the
only way that someone in Gateshead could be listening to BBC Radio Sheffield is online:
https://www.bbc.co.uk/sounds/play/live:bbc_radio_sheffield
(I'm listening to that stream right now. John Kane has just said hello to listeners in Tyrone and Kos).
Metro Radio only transmits using FM, with the highest-powered transmitter using 10kW, which will cover a local region quite well but won't get beyond it. (They have actually got a Medium Wave transmitter, branded as 'Metro 2' but it's just a local 'fill in' one, running 1.8kW , which isn't going to reach beyond the local area).
So, once again, the only way that you'll be able to listen to Metro Radio in Sheffield is ONLINE, using the 'Listen Live' button here:
https://planetradio.co.uk/metro/