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In a synchronous motor, the relationship between AC amperage and DC amperage is significant due to the motor's construction and operating principles. As DC amperage increases, the magnetic field produced by the DC input becomes stronger. This stronger field affects the motor's operation by influencing the AC load.

When the DC amperage increases, the magnetic field enhances the efficiency of the motor, allowing it to maintain its synchronous speed with less AC current. Thus, the AC amperage goes down. This occurs because the motor is design-optimized to operate efficiently at a specific load and voltage, and as the DC component strengthens the magnetic field, less AC current is required to maintain the motor's performance and torque output.

This relationship highlights the interconnectedness of AC and DC currents in the functioning of synchronous motors, illustrating how one influences the other based on operating conditions.