A three-pole feedback amplifier has a loop gain given by [T(f)=frac{betaleft(10^{4} ight)}{left(1+j frac{f}{10^{3}} ight)left(1+j frac{f}{10^{4}} ight)left(1+j frac{f}{10^{5}}

A three-pole feedback amplifier has a loop gain given by

\[T(f)=\frac{\beta\left(10^{4}\right)}{\left(1+j \frac{f}{10^{3}}\right)\left(1+j \frac{f}{10^{4}}\right)\left(1+j \frac{f}{10^{5}}\right)}\]

Sketch Bode plots of the loop gain magnitude and phase for:

(a) \(\beta=0.005\), and

(b) \(\beta=0.05\).

(c) Is the system stable or unstable in each case? If the system is stable, what is the phase margin?