I bought 2 very nice angle lamps from Ikea to light my computer bench, but both failed after a couple of weeks.
These are 12 volt lamps with a transformer attached to the 3-pin plug.
I dis-assembled the plug, as I thought there was probably a fuse in it. There wasn't, but what I found mystifying is that both the primary and the secondary coil appeared to have infinite resistance, although there was no evidence of any burning in either case.
Could there be some other explanation of this?