-3.7-6. It is well known that the addition of phase lag to a closed-loop system is destabilizing. A sampler/data-hold device adds phase lag to a system, as described in Section 3.7. A certain analog control system has a bandwidth of 10 Hz. By this statement we mean that the system (approximately) will respond to frequen- cies less than 10 Hz, and (approximately) will not respond to frequencies greater than 10 Hz. A sampler/ zero-order-hold device is to be added to this control system. -(a) It has been determined that the system can tolerate the addition of a maximum of 10° phase lag within the system bandwidth. Determine the approximate minimum sampling rate allowed, along with the sample period T. (b) Repeat part (a) for a maximum of 5° phase lag. (c) Repeat part (a) for a maximum of 20° phase lag.