A breaker protects the cable
This is the single most important idea about breakers, and almost everybody gets it backwards.
People think the breaker protects the appliance. It does not. The appliance has its own protection inside it.
The breaker protects the wire in the wall. If something goes wrong and too much current flows, the wire will heat up. Given enough current for long enough, it heats up until the insulation fails and it can start a fire inside a wall where nobody can see it.
The breaker is set so it trips before the cable reaches that point. That is its entire job.
Which means a breaker is chosen for the cable it is protecting. You cannot put a larger breaker on a smaller cable, no matter what is plugged in at the end.
