Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
134 views
in Electronics by (88.5k points)
closed by
For a system having transfer function \(G\left( s \right) = \frac{{ - s + 1}}{{s + 1}}\), a unit step input is applied at time t = 0. The value of the response of the system at t = 1.5 sec (rounded off to three decimal places) is __________.

1 Answer

0 votes
by (85.3k points)
selected by
 
Best answer

\(G\left( s \right) = \frac{{ - s + 1}}{{s + 1}}\)

r(t) = u(t)

\(\Rightarrow r\left( s \right) = \frac{1}{s}\)

Output, C(s) = R(s) G(s)

\(= \frac{1}{s}\left( {\frac{{1 - s}}{{1 + s}}} \right)\)

\(\Rightarrow c\left( s \right) = \frac{1}{s} - \frac{2}{{1 + s}}\)

By applying inverse Laplace transform,

⇒ c(t) = u(t) – 2e-t u(t)

At t = 1.5 sec,

c(t = 1.5s) = 1 – 2e-1.5 = 0.553

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...