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There are discussions/uncertainties about how much total current a double 13A socket can supply (many believe that it is 20A). However, if you forget that complication and think just of single 13A sockets on a 32A ring, the fuse in the plug obviously provides the necessary protection (just as would a 5A fused plug in your situation).
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The UK is the only country in the world as far as I'm aware that uses 30a protection for power socket circuits. The ring final was a hashup method used during the war to either convert 15a radials or use less copper cable. The rest of the world uses individual 15/20a radial circuits (many putting lights on the same circuits as sockets using the same gauge cable and no added protection). It's very common to see twin 13a sockets with scorch marks around the terminals where two heavy current appliances have been plugged in at the same time for a long period of time (e.g. in a kitchen, a dishwasher and a tumble dryer). brick-type Multiway adaptors are also unfused and allow up to 3 13a appliances to be plugged into one socket. Try plugging two 2kw fan heaters into the same twin socket, and feel how hot the socket gets!
There are discussions/uncertainties about how much total current a double 13A socket can supply (many believe that it is 20A). However, if you forget that complication and think just of single 13A sockets on a 32A ring, the fuse in the plug obviously provides the necessary protection (just as would a 5A fused plug in your situation).
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The UK is the only country in the world as far as I'm aware that uses 30a protection for power socket circuits. The ring final was a hashup method used during the war to either convert 15a radials or use less copper cable. The rest of the world uses individual 15/20a radial circuits (many putting lights on the same circuits as sockets using the same gauge cable and no added protection). It's very common to see twin 13a sockets with scorch marks around the terminals where two heavy current appliances have been plugged in at the same time for a long period of time (e.g. in a kitchen, a dishwasher and a tumble dryer). brick-type Multiway adaptors are also unfused and allow up to 3 13a appliances to be plugged into one socket. Try plugging two 2kw fan heaters into the same twin socket, and feel how hot the socket gets!