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For a critically damped second-order system, what is the time constant τ?
  • a)
    1/ωn
  • b)
    2/ωn
  • c)
    1/(2ωn)
  • d)
    ωn
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For a critically damped second-order system, what is the time constant...
The time constant, τ, for a critically damped second-order system can be determined using the natural frequency, ωn. The relationship is as follows:
  • The time constant is defined as τ = 1/(2ωn).
  • This indicates that the system responds quickly without oscillating.
  • Understanding this relationship is crucial for analysing system behaviour.
 
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Community Answer
For a critically damped second-order system, what is the time constant...
The time constant, τ, for a critically damped second-order system can be determined using the natural frequency, ωn. The relationship is as follows:
  • The time constant is defined as τ = 1/(2ωn).
  • This indicates that the system responds quickly without oscillating.
  • Understanding this relationship is crucial for analysing system behaviour.
 
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