@Muse - A permanent split capacitor (PSC) motor is the industry standard for outdoor air conditioner condenser fan motors due to its high reliability, quiet operation, and lack of mechanical centrifugal switches.
### Circuit Operation
* **AC Line Supply (#Vac):** Delivers $240\text{ V}_\text{RMS}$ ($340\text{ V}_\text{peak}$) at $60\text{ Hz}$.
* **Main (Run) Winding (#Rm, #Lm):** Connected directly across the AC line. With $R_m = 16\ \Omega$ and $L_m = 120\text{ mH}$, the inductive reactance is:
$$X_{Lm} = 2\pi f L_m \approx 45.2\ \Omega$$
This causes the main winding current to lag the applied voltage by $\approx 70^\circ$.
* **Auxiliary (Start) Winding (#Ra, #La):** Features higher resistance ($28\ \Omega$) and higher inductance ($180\text{ mH}$, $X_{La} \approx 67.9\ \Omega$) wound with finer wire.
* **Run Capacitor (#Crun):** Rated at $7.5\ \mu\text{F}$ (standard for a $1/4\text{ HP}$, $208\text{--}230\text{ V}$ condenser fan motor). Its capacitive reactance is:
$$X_C = \frac{1}{2\pi f C} \approx 353.7\ \Omega$$
The net auxiliary branch reactance is predominantly capacitive ($X_{net} \approx -285.8\ \Omega$), which shifts the auxiliary phase current ahead of the line voltage.
* **Rotating Magnetic Field:** The phase displacement between the current in #Rm and the current in #Ra approaches $90^\circ$ electrical, generating the rotating stator magnetic field required to produce continuous unidirectional torque without any external starting switch.
