Recently I have dealt with two items which had both failed with what ultimately turned out to be the control switch.
The first was on our 20 year old hob when the on/off/6 position switch decided to "burn" out. Or at least that was what it smelled like. I was in the garage when it blew the 30A fuse, most interesting as I clearly heard the fuse crackling before it finally disintegrated. I got laughed at by the official service people, so I then found a replacement via the internet.
The second was my daughter's oven (age unknown but thought to be only a few years), and here again we eventually found that the control switch had disintegrated. Unfortunately, my daughter has history of having oven elements failing so one of my grandsons dismantled the oven but couldn't find an obvious fault. Enter grandad with suitable measuring gear and various temporary leads. Even then, we found the switch by accident, ie by being in just the right position to see the partially disintegrated switch hiding under an edge.
Pricewise, both were about £30-35 each. Cheap compared to the alternative.
Peter G. Shaw
ps Now for a laugh. After reassembling my daughter's oven, it still didn't work. I then spent over two hours carefully checking, and rechecking everything. Still didn't work at which point I gave up and told my daughter to call a proper electrician. Her son, the one who dismantled it in the first place, came home, reset the clock and suddenly the oven started to work! It seems that her oven can be controlled electronically, whereas ours cannot. Hence I was not aware that resetting the clock was crucial. In my early 70's, I've just proved that I am never too old to learn!