Was this installation designed ?
Is it a 32 amp ring because it has a 32 amp MCB or RCBO in the summer house CU ?6mm 3 core swa backed up at the board in the property by a 20amp 30ma RCBO
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we also have a 32amp ring circuit for a couple of other sockets which run a projector and what ever else
I am thinking an error in the wiring. If you plug something else such in to the socket where the projector was plugged in does that trip the RCBO ? If it does there is a wiring error. Probably a neutral in the wrong bus bar.
The 3 core swa is terminated in s galv box below the MK board it then is wired into the double pole main swit of the board then the live goes through to the RCBO rated at 80amp 30ma then through that to the bus bar on the bottom which in turn feeds the local mcbs one being a 32amp ring circuit.
The neutral goes through the double pole main switch then wired into the neutral bar at the top of the DB a neutral from the RCBO goes to the neutral bar as well