Hi,
You may have to replace the dimmer switch with a standard on/off light switch so that you can safely open and inspect the dimmer switch to ascertain what the damage is.
It may be that it can be repaired depending if the burnt out components are easy to source or not.
Take some close up images of the dimmer's circuit board showing the damage and post back here.
Here's how to do this on ifixit
Adding images to an existing question
Also I think you meant to say that the bulbs were of too high a wattage rating for the dimmer, not too high a voltage
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