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When the damping ratio ζ (zeta) lies in between 0 < ζ < 1, then the circuit classification comes under:

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  1. under damped
  2. damped
  3. undamped
  4. over damped

Answer (Detailed Solution Below)

Option 1 : under damped
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Detailed Solution

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The correct answer is option 1):(underdamped)

Concept:

  • The characteristic equation of the standard second-order system is given by
  • s2 + 2ξ ωn s + ω2n = 0
  • The system is said to be undamped if ξ = 0 critically damped if ξ = 1 underdamped if ξ < 1 overdamped if ξ > 1
  • The damping ratio ζ (zeta) lies in between 0 < ζ < 1, then the circuit classification comes underdamped

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