Question

Question # 1

: Find the transfer function represented by:

??(?) ?? + 5 ?(?) = 2 ?(?)

Then, find the response, c(t) to an input, r(t) = u(t) a unit step, assuming zero initial conditions. Draw the block diagram and write the transfer function inside it, and show the i/p and o/p signals on the block diagram.

Question #1: Find the transfer function represented by: dc(t) + 5 c(t) = 2 r(t) dt Then, find the response, c(t) to an input, r(t) = u(t) a unit step, assuming zero initial conditions. Draw the block diagram and write the transfer function inside it, and show the i/p and o/p signals on the block diagram.

Answer 1

* Given, dc (A) +5 c(t) = arit). dt Apply Laplace transformim S c) + 5 c(s) = 2 RS). (6+5) c(s) = 2 RG) & Transfer function, Ho) = c(s) ROS 2 S+5 Apply inverse laplace thansform, h(t) = a. est ut). If s(t) = ult) - RCS) = -2/5 S+5 + 95 S S+5. CE) = (545) RS) = - (Ct) = -2 est ut) + 2 ust). 2 S+5 c(s). R(S) H(s) can be written as, HS) I+ RS) cs) S 5