Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > If the gain of the open-loop system is increa...
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If the gain of the open-loop system is increased to four times, the gain margin of the system
- a)remains same
- b)becomes half
- c)becomes one-fourth
- d)none of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the gain of the open-loop system is increased to four times, the ga...
∴ When open-loop gain becomes 4-times, GM will become one-fourth.
Most Upvoted Answer
If the gain of the open-loop system is increased to four times, the ga...
Understanding Gain Margin
Gain margin is a crucial concept in control systems that indicates the stability of a system. It is defined as the amount by which the gain can be increased before the system becomes unstable.
Effect of Increasing Gain
When the open-loop gain of a system is increased, the system's response characteristics change significantly. Specifically, if the gain is quadrupled, the following occurs:
- Gain Margin Calculation: Gain margin is inversely related to the gain of the system. Mathematically, if the gain is increased, the gain margin diminishes proportionally.
- Gain Increase Factor: By increasing the gain to four times the original, the new gain margin becomes one-fourth of the original gain margin.
Conclusion on Gain Margin
Therefore, if the gain of the open-loop system is increased to four times, the gain margin of the system indeed becomes:
- One-Fourth of the Original: This reduction in gain margin indicates that the system has become closer to instability.
In summary, the correct answer is option 'C', as increasing the gain to four times results in the gain margin becoming one-fourth of its initial value. Understanding this relationship is vital for ensuring system stability in control engineering.
Gain margin is a crucial concept in control systems that indicates the stability of a system. It is defined as the amount by which the gain can be increased before the system becomes unstable.
Effect of Increasing Gain
When the open-loop gain of a system is increased, the system's response characteristics change significantly. Specifically, if the gain is quadrupled, the following occurs:
- Gain Margin Calculation: Gain margin is inversely related to the gain of the system. Mathematically, if the gain is increased, the gain margin diminishes proportionally.
- Gain Increase Factor: By increasing the gain to four times the original, the new gain margin becomes one-fourth of the original gain margin.
Conclusion on Gain Margin
Therefore, if the gain of the open-loop system is increased to four times, the gain margin of the system indeed becomes:
- One-Fourth of the Original: This reduction in gain margin indicates that the system has become closer to instability.
In summary, the correct answer is option 'C', as increasing the gain to four times results in the gain margin becoming one-fourth of its initial value. Understanding this relationship is vital for ensuring system stability in control engineering.
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If the gain of the open-loop system is increased to four times, the gain margin of the systema)remains sameb)becomes halfc)becomes one-fourthd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the gain of the open-loop system is increased to four times, the gain margin of the systema)remains sameb)becomes halfc)becomes one-fourthd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the gain of the open-loop system is increased to four times, the gain margin of the systema)remains sameb)becomes halfc)becomes one-fourthd)none of the aboveCorrect answer is option 'C'. Can you explain this answer?.
If the gain of the open-loop system is increased to four times, the gain margin of the systema)remains sameb)becomes halfc)becomes one-fourthd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about If the gain of the open-loop system is increased to four times, the gain margin of the systema)remains sameb)becomes halfc)becomes one-fourthd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the gain of the open-loop system is increased to four times, the gain margin of the systema)remains sameb)becomes halfc)becomes one-fourthd)none of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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