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Quick Answer
Yes, a 550W PSU can run the RTX 4060 Ti 16GB. The 16GB variant has the same 160W TDP as the 8GB model. With a mid-range CPU, total system power is approximately 300-350W, well within a quality 550W PSU's capacity.
Despite having double the VRAM, the RTX 4060 Ti 16GB draws only 5W more than the 8GB version. The extra memory chips add minimal power overhead. Your PSU choice does not need to change between the two models.
At 350W load on a 550W PSU, you are running at 64% capacity. This is fine for efficiency and reliability. A 650W PSU would give you more headroom for future upgrades, but 550W is technically safe for this specific configuration.
Make sure your 550W PSU has the required PCIe power connector (one 8-pin or 16-pin depending on the card model). Quality matters at lower wattages - a cheap 550W unit may not handle power transients as well.
Our Verdict
A quality 550W PSU handles the RTX 4060 Ti 16GB without issues. Total system draw stays under 350W in gaming. If buying new, consider 650W for a small premium to future-proof your next GPU upgrade.