For everyone complaining: This is a hardware problem. Period. Full stop. This is how the hardware is designed. Trying to make a profit in making graphics cards is hard, and costs are typically cut to the lowest possible, and game benchmarks/reviews measure FPS, not emitted sound, so that’s what matters.
And, yes, it sucks. The least bad option is to find and put on some closed-cup headphones to attempt to mask it out.
That being said – I’m surprised about the A4000 report of coil whine. The professional cards are supposed to actually be well designed. Whoever sold that might be willing to do warranty service (although if it happens with a second card, then it’s a design defect in that card – just because it’s “pro” doesn’t mean they won’t try to save money in making it.)