An $$N$$-channel $$JFET$$ having a pinch-off voltage $$\left( {{V_P}} \right)$$ of $$-5V$$ shows a transconductance (gm) of $$1$$ $$mA/V$$ when the applied Gate to source voltage $$\left( {{V_{GS}}} \right)$$ is $$-3V.$$ Its maximum transconductance (in $$mA/V$$) is

Given the characteristic equation $${s^3} + 2{s^2} + Ks + K = 0.$$ Sketch the root focus as $$K$$ varies from zero to infinity. Find the angle and real axis intercept of the asymptotes, break-away / break-in points, and imaginary axis crossing points, if any

The polar plot of a type-$$1, 3$$-pole, open-loop system is shown in Fig. below. The closed loop system is

The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and one zero is shown in Fig. Its transfer functions is