Q $3($b$)[9$ Marks, $($i$)3,($ii$)3,($iii$)3]$ Consider a first order compensator in the form of $()=.+1+1($i$)$ Explain why $<1$ is required for a phase lag compensator. $($ii$)$ For a phase lead compensator, show that the magnitude at $=1$ is half of the magnitude at high frequency. $($iii$)$ For a phase lead compensator, prove that the phase angle can achieve its maximum at $=1.$