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The unit step response of a system is given by c(t) - 1 + 0,25 e-50t - 1.25 er-10t The given system is
  • a)
    underdamped
  • b)
    critically damped
  • c)
    overdamped
  • d)
    undamped
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The unit step response of a system is given by c(t) - 1 + 0,25 e-50t- ...
Given, 
∴ 
or, 
∴ 

or, 

Thus, 
and 
Thus, 
Since, ξ > 1, therefore given system is overdamped.
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The unit step response of a system is given by c(t) - 1 + 0,25 e-50t- 1.25 er-10tThe given system isa)underdampedb)critically dampedc)overdampedd)undampedCorrect answer is option 'C'. Can you explain this answer?
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