A loop gain function is given by [T(f)=frac{betaleft(10^{3} ight)}{left(1+j frac{f}{10^{4}} ight)left(1+j frac{f}{5 times 10^{4}} ight)left(1+j frac{f}{10^{5}} ight)}]

A loop gain function is given by

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

Sketch the Nyquist plot for:

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

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

(c) Is the system stable or unstable in each case?