Heating charcoal on induction stove
Induction cooktops generate heat on iron or steel elements. There's no fire involved.

You want to lit a piece of charcoal on fire. That requires a flame. Induction doesn't generate flames, just heat, so you won't be able to light up your charcoal with just that - I'm not even sure the induction will generate enough heat to light your charcoal piece on fire.

I'd recommend a small gas torch, such as those for searing or creme brûlée.