Polite?

I interviewed for my dream job on Tuesday. I absolutely love this job and I want it so bad! It's in my moms hometown where I used to spend my summers and I've always dreamed of living there. 

I'm not sure if people do this anymore, but I sent the lady I interviewed with a thank you email. I'm hoping that will show that I'm persistent and gracious and how much I would love to be apart of the company. 

Has anyone else sent a thank you after an interview?