Part 1 Consider the system given by the following block diagram where K>0: R(s) C(s) G(s) G(s) (s+3)(s2 + Sst 2) a) Sketch the Root-Locus of the system using the 7 steps. b) State for what value of K the system is unstable, undamped, underdamped, critically damped and overdamped. Write the values of K on the root locus plot when the locus crosses the jw axis and at the break point. c) For damping ratio of 0.707, find analytically the natural frequency, the gain K and the closed loop poles. d) Calculate the steady-state error for a unit-step input.

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Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.