Various kinds of practical machines using the single phase induction motor (SPIM) are utilized to control both speed and torque. In particular, the capacitor-run type SPIM has the characteristic that allows the motor torque to be altered by auxiliary capacitance variation. In this study, we manifest an equivalent model having a more simplified configuration, and clarify the relationship between torque and capacitance. Also, we design an experimental controller that is able to perform speed control with ease by the phase angle control of the AC input voltage. Validity of this study is confirmed through the simulation and experimental results obtained.