Does a PS Vita get powered by the charger when the battery is full?

In New Little King's Story, to get the final end you need to rise the affection of all the princesses which can be done by scouting them and just waiting around. This is what I did with Corina while I was doing the Alchemy to get the Summoning Seals (which took 3 hours each)

During that time I kept an eye on the battery level so that if it got low on power I( would plug it back up and charge it, when I play any other game and I'm charging it I am normally pressing the home button to check the battery indicator and see if it's full (all green and don't have the lighting in it)

I do this as I am afraid of overcharging the battery however I am wondering, if I'm playing the PS Vita with the charger plugged in and the battery is full, does it switch to use the charger as the power source or am I risking overcharging the battery if I keep playing while it's plugged up?

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Does a PS Vita get powered by the charger when the battery is full? - White Power Bank and Blue Coated Wires

Does a PS Vita get powered by the charger when the battery is full? - A Battery and a Charger on a Wooden Surface

When the PS Vita is fully charged?

While your system is charging, the remaining battery charge is shown on the info bar as (Charging). Also, while the system is charging when the system is in standby mode or it is turned off completely, the PS button lights up orange. When charging is complete, the light in the PS button goes out.

How does the PS Vita charge?

To fully recharge the battery from 0 percent will take 2 hours and 40 minutes. The battery life of the Vita is somewhat similar to the Nintendo 3DS, which is 3 to 5 hours of playtime with the 3D effect turned on, and up to 8 hours of original DS game playback.

How long does a PS Vita 1000 take to charge?

By holding in the power button for about 20-30 seconds the screen will first go blank, then restart with a 5 selection menu. Choose option 1, restart the Vita, & press X. The system will reboot and you should be "unfrozen"!

PS Vita BatteryFixer! VPK! Fix Any Battery Errors!

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Kelly, Lukas, Markus Winkler, Harvey Tan Villarino