and traced it to the USB power cable - fine with a B+ - but the pi3 needed more juice.
All USB cables are not equal for power purposes, they vary massively by resistance.
I thought I had this sorted by using "thick" cables - but just found you can't rely that.
I now use an android app to help me check cables quickly:
Galaxy charging current:
https://play.google.com/store/apps/deta ... e&hl=en_GB
Here's two identical looking "thick" USB cables on the same 2A USB charger:
