I am an iOS mobile app developer, and I am looking to hire someone to create an animated illustration similar to this image hosted on Dribble. My question is, what file type(s) will the graphic designer supply me with? I'm trying to plan out how I will actually embed the animation into my app. Will it be some sort of video file type like a .gif? Does it depend on the animation software they use?
Take a look at this: Creating high quality animated backgrounds from Illustrator files
The files supplied should be the ones you need, and do not depend only on the software used, but how the designer uses it.
The most reasonable option is to generate an image sequence, probably PNG if you need transparency.
Then you could use it let's say as a CSS animation, or simply be saved as an mp4 file for example. If an animated gif is ok, it should have flat colors.
The assets could also be the chips on PNG and an SVG of the path of the circuit, so you could add SVG animations to the path. Or all the chips as vectors in SVG format.