Ah...I thought you were asking about powering it from the Zaurus. What I've heard (and experienced) with USB-powered external drives is that two things effect whether the drive will work on USB power alone:
1) How much current the host will provide from it's USB port
2) How much power the drive takes to spin up.
Laptops are especially stingy in terms of supplying power over USB. Also size isn't necessarily a valid indicator of how much power a drive will draw to spin up. For example, I'd be willing to bet that a 40GB 7,200 RPM drive will take more power to spin up than a 4,200 RPM 80GB drive. What's worse is that sometimes the manufacturer's claimed power draw on spin up isn't accurate either. Your best bet is probably to ask people what drive they've had good luck with.