Is my power supply or motherboard dying?

[Lukeus699]

When the computer is powered down a high pitch sound begins coming from the pc, the motherboard leds are one but nothing else. If I press the power switch on the psu to turn off the computer all together the sound raises and lowers for about 5-10 seconds before stopping then the lights come off. What could be causing the sound

It's a xfx 650w xtr and a Asus z97 pro gamer mobo

 

[Dark Lord of Tech]

Coil Whine from PSU possibly.

 

[Lukeus699]

Coil Whine from PSU possibly.

Could this cause any damage to my hardware or is it just going to be annoying?