It's no secret that Intel has dialed up the power with Rocket Lake to compete with AMD's vastly more efficient chips, so you'll have to ignore the higher power consumption if you choose to go with an 11th-gen Intel chip. As such, there are no real surprises here — the Core i5-11400 draws more power in every measurement than either the Zen 2 or Zen 3 chips.
However, it does fall into a lower power envelope than the Core i5-11600K at stock settings, which takes some of the sting off of Rocket Lake's generally excessive power consumption. Naturally, that changed when you remove the power limits. As you can see in our renders-per-day measurements, Intel's Rocket Lake isn't in the same league in terms of efficiency.
Here we take a slightly different look at power consumption by calculating the cumulative amount of energy required to perform Blender and x264 and x265 HandBrake workloads, respectively. We plot this 'task energy' value in Kilojoules on the left side of the chart.
These workloads are comprised of a fixed amount of work, so we can plot the task energy against the time required to finish the job (bottom axis), thus generating a really useful power chart.
Bear in mind that faster compute times, and lower task energy requirements, are ideal. That means processors that fall the closest to the bottom left corner of the chart are best. That distinction still belongs to Ryzen.
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Under the most predominant use these will see a stock cooler should be (mostly) fine. A "gamer" would (probably not really be looking at) budget in a better cooling option anyway, IMO.
The energy cost difference is on the level of a candy bar and a soda level for the year.
https://overclock3d.net/reviews/cpu_mainboard/intel_core_i5_11400f_and_asus_b560_plus_prime_review/1Intel Core i5 11400F and ASUS B560 Plus Prime Review
https://www.tomshardware.com/news/intel-core-i5-11400-reviewIntel Core i5-11400 Review
https://www.guru3d.com/articles_pages/intel_core_i5_11400f_processor_review,1.htmlIntel Core i5-11400F Review
https://www.techspot.com/review/2232-intel-core-i5-11400f/Intel Core i5-11400F Review
https://www.profesionalreview.com/2021/04/26/intel-core-i5-11400f-review/Intel Core i5-11400F Review
Tom's Hardware is so blatantly biased towards Intel these days, you should be embarrassed.