Question 1
Control SystemsSecond-Order Systems
For s²+6s+25=0, the damping ratio ζ is?
Correct Answer: B. 0.6
Explanation: 2ζωn=6 and ωn=5, hence ζ=6/(2×5)=0.6.
Reference: Standard control systems: second-order systems
Second-Order Systems MCQs
Practice Second-Order Systems MCQs with four options, answers and explanations for focused Electronics & Telecommunication Engineering revision.
Question 2
Control SystemsSecond-Order Systems
The standard second-order characteristic polynomial is commonly written as?
Correct Answer: A. s²+2ζωn s+ωn²
Explanation: The standard second-order denominator is s²+2ζωn s+ωn².
Reference: Standard control systems: second-order systems
Question 3
Control SystemsSecond-Order Systems
In a standard second-order system, ζ denotes the?
Correct Answer: A. Damping ratio
Explanation: The symbol ζ (zeta) denotes damping ratio.
Reference: Standard control systems: second-order systems
Question 4
Control SystemsSecond-Order Systems
In a standard second-order system, ωn denotes the?
Correct Answer: A. Undamped natural frequency
Explanation: ωn is the undamped natural frequency, usually expressed in rad/s.
Reference: Standard control systems: second-order systems
Question 5
Control SystemsSecond-Order Systems
A second-order system with 0<ζ<1 is classified as?
Correct Answer: A. Underdamped
Explanation: A damping ratio between zero and one gives an underdamped response.
Reference: Standard control systems: second-order systems
Question 6
Control SystemsSecond-Order Systems
A second-order system with ζ=1 is?
Correct Answer: B. Critically damped
Explanation: ζ=1 corresponds to critical damping.
Reference: Standard control systems: second-order systems
Question 7
Control SystemsSecond-Order Systems
A second-order system with ζ>1 is?
Correct Answer: C. Overdamped
Explanation: A damping ratio greater than one gives an overdamped response.
Reference: Standard control systems: second-order systems
Question 8
Control SystemsSecond-Order Systems
A second-order system with ζ=0 has, in the ideal standard model, a response that is?
Correct Answer: A. Undamped
Explanation: With zero damping, the standard second-order system has sustained natural oscillation in the ideal model.
Reference: Standard control systems: second-order systems
Question 9
Control SystemsSecond-Order Systems
For the characteristic equation s²+6s+25=0, the undamped natural frequency ωn is?
Correct Answer: B. 5 rad/s
Explanation: Comparing with s²+2ζωn s+ωn², ωn²=25, so ωn=5 rad/s.
Reference: Standard control systems: second-order systems