Computer shuts off when unplugged and want to plugged in besides

No, will simply must stay it plugged into an outlet. Do remember when the ones batteries begin to move unhealthy there will probably be some bulging of the palmrest/keyboard body, if left to its personal gadgets will in the end damage the plastic.

There’s one risk that the charging circuit to the battery is unhealthy however in most cases that still applies to the circuit main from the facility plug to different issues.