Small Aircraft; Low Wing; 2 Eng; Retractable Gear
Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine
Workload; Distraction; Troubleshooting
Aircraft Equipment Problem Critical
Air Traffic Control Issued New Clearance; Air Traffic Control Provided Assistance; Flight Crew Returned To Departure Airport; Flight Crew Landed in Emergency Condition; Flight Crew Requested ATC Assistance / Clarification; General Flight Cancelled / Delayed
Aircraft
RH Alternator light illuminated on takeoff after gear retraction. Pilot Monitoring ran QRH. We returned to ZZZ. RH Alternator failure. ATC declared [priority handling].
After rotation; the right Alt Out light illuminated. We ran the QRH and it did not fix the alternator. ATC [requested priority handling] for us; and we returned for landing. The alternator failed.
Air taxi flight crew reported the alternator failed on departure and they returned to the airport.