What balun do I need for a coax-fed long wire antenna with coax shield grounded to the tower?

The suggested balun is a 4:1 ratio current balun for long wire antennas. The DX Engineering part number of the correct balun is either the DXE-BAL200-H10-AT or the DXE-BAL200-H11-CT current balun designed to work with an antenna tuner.