Will the phase angle of the voltage across a series RL circuit be affected if two separate voltages that are out of phase with each other are applied to it?

Refer to the attached schematic:

Circuit A has 5.2 volts, B-phase applied to the rotor coil lead R1 and 23 volts, A-phase applied to R2. Phases A and B are apart by 120 degrees in phase effectively making the sum of the two voltages equivalent to 26 volts AC being applied to the synchro rotor. Will the 120-degree phase split have an effect on the phase angle of the series rotor coil/resistor in the circuit? And if so, then what should the stator outputs be?

Circuit B shows the same circuit but with a single phase 26 volts applied to the rotor coil through the phasing resistor. This is the same configuration that they teach in school for series RL circuits. I can calculate all the circuit values using the standard equations for series RL circuits. What I need to know is: Do the standard equations still apply if the input voltage is applied in the same configuration as circuit A?

I asked this in the general section but got no replies....someone please help.

Refer to the attached schematic:

Circuit A has 5.2 volts, B-phase applied to the rotor coil lead R1 and 23 volts, A-phase applied to R2. Phases A and B are apart by 120 degrees in phase effectively making the sum of the two voltages equivalent to 26 volts AC being applied to the synchro rotor. Will the 120-degree phase split have an effect on the phase angle of the series rotor coil/resistor in the circuit? And if so, then what should the stator outputs be?

Circuit B shows the same circuit but with a single phase 26 volts applied to the rotor coil through the phasing resistor. This is the same configuration that they teach in school for series RL circuits. I can calculate all the circuit values using the standard equations for series RL circuits. What I need to know is: Do the standard equations still apply if the input voltage is applied in the same configuration as circuit A?

I asked this in the general section but got no replies....someone please help.