Home › MCQs › Electrical Engineering › Question #2163
Back to Questions
Electrical Engineering QUESTION #2163
Question 1
The open-loop transfer function of a unity feedback system is $G(s) = \frac{K}{s(s+2)(s+4)}$. By the Routh-Hurwitz criterion, the system is marginally stable when $K$ equals:
  • $48$✔️
  • $24$
  • $16$
  • $8$
Correct Answer Explanation
Characteristic equation: $s^3 + 6s^2 + 8s + K = 0$. Routh array row 3 pivot: $\frac{48-K}{6}$. For marginal stability: $48 - K = 0 \Rightarrow K = 48$.