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
159 views
in Electronics by (98.5k points)
closed by

The unit step response y(t) of a linear system is

y(t) = (1 – 3e-t + 3e-2t) u(t)

For the system function, the frequency at which the forced response becomes 2 is


1. \(\frac{1}{\sqrt{2}}\) rad/s
2. \(\frac{1}{2}\) rad/s
3. \(\sqrt{2}\) rad/s
4. 2 rad/s

1 Answer

0 votes
by (95.6k points)
selected by
 
Best answer
Correct Answer - Option 2 : \(\frac{1}{2}\) rad/s

Concept:

The output response of a system is equal to the sum of natural response and forced response.

Forced response: The response generated due to the pole of the input function is called the forced response.

Natural response: The response generated due to the pole of system function is called the natural response.

Analysis:

\(Y(s) = \frac{1}{s}-\frac{3}{s+1}+\frac{3}{s+2}\)

The forced response = 1/s

The forced response will be 2 at 0.5 rad/sec

The forced response = 1/0.5 = 2. 

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

...