Both of them should require a powered SATA to USB adapter. The power draw of most 3.5" drives is more than standard USB 3.0 can provide. A standard USB 3.0 port can provide 900mA (0.9A).

If I'm reading your pic correctly:
Toshiba MD04ACA500
12v = 0.85A
5v = 0.70A
1.55A max total

WD40PURZ
12v = 0.45A
5v = 0.60A
1.05A max total

So the WD Purple drive has a much lower max amp rating, but it still could exceed what the USB port could provide sometimes.

If you look for "usb sata 3.5 adapter" on Amazon, you'll see that most of them have an AC adapter.