Consider a battery powered variable speed induction motor drive required for emergency conditions. It consists of a 96 V battery bank, a singlephase halfbridge SPWM DCAC converter (inverter) and a singlephase transformer. The rated speed of the motor is achieved with the rated voltage and frequency of the single-phase motor: lZOVms and 60 Hz. The slip of the motor can be neglected in this problem. The gating signals of the inverter are generated by comparing a sinusoidal modulating (control) signal with a triangular carrier of 10 V peak. A) Compute the turns ratio of the transformer (N-izNz) knowing that an amplitude modulation ratio (ma) of 1 should be used at rated conditions. B) What should be the magnitude and frequency o_f the sinusoidal control signal required to operate the motor with 1/3 of rated speed without risking saturation of transformer and motor