A 220V, 50 Hz, single-phase induction motor has the following

A 220V, 50 Hz, single-phase induction motor has the following connection diagram and winding orientations shown. MM' is the axis of the main stator winding (M₁M₂) and AA' is that of the auxiliar y winding (A₁A₂). Directions of the winding axes indicate direction of flux when currents in the windings are in the directions
shown. Parameters of each winding are indicated. When switch S is closed, the motor

1. rotates clockwise
2. rotates anticlockwise
3. does not rotate
4. rotates momentarily and comes to a halt

Z_AUX = r _a + jxL_a

= 1 + j(2π × 50) ×	10
	π

= 1 + j 1000 ∼ 1000 ∠90°

Z_m = r_m + jx_m

= 0.1 + j (2 π × 50 ) ×	0.1
	π

= 0.1 + j 10 = ∠ 90°

I_AUX =	V	= I_a ∠ -90°
	Z_Aω₀

I_M =	V	= I_M ∠ -90°
	Z_M

∴ Starting torque = k I_a I_m sin (I_a, I _m)
= k' sin (θ) = 0
So motor does not rotate at starting. Obviously 1φ motor is not self starting.