Question 4: A unity negative feedback system has a transfer function G(s) = K(s²+0.105625) s(s²+1) = K(s+j0.325) (s-j0.325) s (5²+1) Sketch the root locus as a function of K. Carefully calculate where the segments of the locus enter and leave the real axis.

Ex. 600. A series circuit containing a resitor (6 Ohms), a capacitor (4 Farads), inductor (13 Henries), and a voltage source V. Determine the transfer function I(s)/V(s) and then determine the undamped natural frequency (Wn) and damping ratio (zeta). Answers: Wn, and zeta. ans:2

Nowadays switching power supplies are commonly used because they offer better efficiency and smaller size compared to a linear power supply, because high switching frequency allows for smaller transformers. One place to find a SMPS (switching mode power supply) is a phone charger. Switching power supplies cause high frequency noise on switching transients. The noise on the output is filtered in various ways but savings may be considered on the output filter (extra inductors and capacitors = extra costs), which means the output will have some amount of noise left getting to the device via the USB cable. Estimate the frequency where the phone charger starts to act as an antenna when the USB cable length is 1.9 meters. Submit your answer in MHz without the unit, rounded to one decimal place. Hint: Either "rule of thumb" can be used.

Answer the following questions for the given Question electrical system in the figure: ell I(s) a) Write the transfer function Vin(s)' b) Time constant of this circuit is 0.002sec and resistor has a value of R=5 Q. Calcule the inductance value L. c) Obtain the steady-state value of the current i(t) by using final- value theorem when the Vin = 5 Volt. d) Draw time response of the current i(t) when Vin = 5 Volt while indicating current values i(t) at the multiple values of the time V. R V. out in constant.