Applying for F1 visa again when already having a F1 visa active

So I have applied for a f1 visa in the month of July 2018 and it was accepted. But now I have changed my mind and want to reapply to other universities as I want to go to a better university than the one I got admit into. So does my application for visa again for different university again have some kind of backlash resulting in rejection because my visa to my previous university was not used? Help me please.

No issue here. You give same reason in visa interview