Sure, I use a big pot on my cooktop which I think is that size. Just be sure of course that cook pot has the induction symbol on the bottom. Five quarts would be dutch oven size, and mine is taller than a DO.
Finishing a five-week trip and I've used the cook top more often than in the past (now have more RV counter space.)... beats wearing out my fingers trying to get the igniter to work on the propane burners. Plus much better temperature control. They are great for RV use, inside or out. Light weight, easy to wipe clean.