?If an antenna is fed at the end it¡¯s an end fed regardless of length. There are 1/4 wave end fed AM broadcast and 1/2 wave end fed AM broadcast antennas.
The BALUN is not part of the antenna it¡¯s just a fixed antenna tuner with maybe a common mode choke
If the wire is a half wave then the feed point impedance will be high, 2000 ohms or more. The BALUN turns ratio depends on the antenna feed point impedance.
Ideally the feed point impedance would be measured and the appropriate BALUN constructed.
