I have an induction hob in the kitchen. We refitted our kitchen last year after having a gas hob (4 burner) for a decade. The new hob is the same size, but induction instead of gas.
Ours is a Bosch model, and it comes with a "boost" function on it where it can turbocharge a ring as long as you don't have the other ones on. I think that it basically turns it into a ~5kW ring. This boils a pan of water faster than our big gas burner ring on the old hob. One advantage of induction is that all the heat goes straight into the pot and doesn't escape up and around the sides like gas does.
It has 18 levels for each ring (0-9 with half step between each number) so it's just as adjustable as a gas ring (actually moreso because you can remember that "4.5" is Good simmer on the front ring the big pot that you just can't do with a turny knob).
My wife loved gas and was skeptical, but will never go back to gas now we've got induction. It's so much easier to clean. Nothing ever gets burnt on because the hob itself never gets heated directly, only the pans). And they come with timers so you can set a timer for each ring individually to turn off on your schedule (it also beeps) so you can leave things to simmer for an hour and then just leave it.
You'll need to make sure your pans are capable of working on induction. If a magnet sticks to the bottom it will probably work (though be careful because one of ours didn't work despite a magnet sticking to it - it was a steel pan with an aluminium base and a thin layer of steel on the bottom - it didn't work on induction). But to be honest, if you're spending a grand on a hob (and many many thousands on a new kitchen) then £50 for an induction pan is a pittance.
In short, induction will easily boil 50L of wort rapidly (even faster if you have a huge pan that goes over multiple elements or a "flex" zone like ours) and probably better then a gas hob. If your brewpot is 20-30 litres then it'll do it no problem - was faster than the 3kW elements you get in AIO 30L (or even 40L models). Check your pan. But they are so much easier to live with than gas that it's worth buying new pots!
