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If wired correctly, this will not damage the fan or the USB port, as the fan will take less current at a lower voltage.

The main problem with this arrangement is the fan would either not start, or would run very slowly, so probably useless for cooling anything.

If you can get a 5V fan, not more than 500mA, this would be much more effective.

(Note- If wired incorrectly, reverse polarity could damage both USB port and fan, short circuit could damage your USB port.)

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