Question:
When the damping coefficient is equal to 1 for a second-order system, then
A. both the roots will be equal
B. both the roots will be real
C. both the roots will be complex
D. both the roots will be unequal
When the damping coefficient is equal to 1 for a second-order system, then
A. both the roots will be equal
B. both the roots will be real
C. both the roots will be complex
D. both the roots will be unequal
A. both the roots will be equal
B. both the roots will be real
C. both the roots will be complex
D. both the roots will be unequal
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Understand the characteristics of damping in second-order systems for designing stable control systems.
Updated On: Dec 28, 2024
- A and B Only
- B and C Only
- C and D Only
- A and D Only
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The Correct Option is A
Solution and Explanation
When the damping coefficient equals 1, the system is critically damped. Both roots of the characteristic equation are real and equal, ensuring no oscillations occur in the system’s response. The system settles to equilibrium as quickly as possible without overshooting.
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