What is the current carrying capacity of 10 awg wire?

For cables in 'Free Air', that is, not routed through conduit, it depends on the Temperature rating of the cable; 60 deg C: 40 amps, 75 deg C: 50 amps, 90 deg C: 55 amps <><><>

As always, if you are in doubt about what to do, the best advice anyone should give you is to call a licensed electrician to advise what work is needed.

Before you do any work yourself,

on electrical circuits, equipment or appliances,

always use a test meter to ensure the circuit is, in fact, de-energized.

IF YOU ARE NOT ALREADY SURE YOU CAN DO THIS JOB

SAFELY AND COMPETENTLY

REFER THIS WORK TO QUALIFIED PROFESSIONALS.