Methods and apparatus to control a weld current amperage are disclosed. A disclosed example method includes identifying an amperage parameter of a welding device, determining a voltage set point based on the amperage parameter and a voltage correction factor, outputting weld current based on the amperage parameter and the voltage set point, comparing a measured voltage corresponding to the weld current to a threshold, and when the measured voltage satisfies the threshold, and adjusting an amperage of the weld current based on the amperage parameter, the voltage set point, and the measured voltage using a first amperage-voltage relationship.