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What air cooler would you recomend that is not really expensive? And also, stressing the CPU can cause some kind of trouble? Don´t wanna melt it now and have no PC to use T_T
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My personal preference it to have a silent PC rig, even when running games that stress the system. So, when I build my PC system, it's based on that objective.... blessed silence. This means installing silent/noiseless fans along with a proper case whose design is to remove heat via good air flow.
To be fair, stock coolers are engineered to do one job... cooling the cpu as long as it is not overclocked. Expect a cheap one that generates noise at max fan speed.
Look at this one: Cooler Master Hyper 212 EVO - CPU Cooler with 120mm PWM Fan (RR-212E-20PK-R2
It's about $35US. However, I stress that you must ensure it will fit inside your case. Also, moving around inside your case after installation will be cramped and make sure whatever cooler you decide to install, that the memory sticks don't interfere.
BTW: BIG fans (ie: 120mm +) remove heat better and at lower rpms = less noise.
Hope this helps.