Prysmian 6242Y Grey 1mm² Twin & Earth Cable 10m Coil (42776)

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It would depend on the amount of current that your cooker uses but 1mm cable is not usually a big enough cable for cookers. The general current carrying capacity of 1mm twin and earth is between 8 and 13A depending on it's method of installation so your load would have to fall in between these parameters.

This size of cable is not suitable for wiring an extra socket unless it has been fused down. 2.5mm cable is the usual cable for extra sockets but it has to be supplied directly off of the ring and not from another spur.

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Flat cable like this is mainly used for fixed wiring in houses in the UK for sockets and lighting. It is usually buried in plaster or inside stud walls. Sometimes it is surface mounted and usually then in trunking. For power circuits it is usually 2.5mm² unless separately fused. It must terminate in a fixed socket on or in a wall. I would say this cable it is unsuitable for the purpose proposed. I would certainly not recommend running under the carpet edge; it would be better around the skirting in conduit or trunking. But please seek advice from a qualified electrician particularly with regards to fusing. Have you considered a standard proprietary flexible extension lead?