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 Time response during steady state the output velocity matches with the input velocity but lags behind the input by T.
  • a)
    True
  • b)
    False
Correct answer is option 'A'. Can you explain this answer?
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Time response during steady state the output velocity matches with the...
 In first order systems the time response during steady state the output velocity matches.
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Time response during steady state the output velocity matches with the...
Understanding Time Response in Steady State
In control systems, the time response describes how the output of a system responds to an input over time. When analyzing steady state conditions, it's essential to understand the behavior of the output in relation to the input.
Steady State Characteristics
- During steady state, the system has reached a balance where the output no longer changes with time.
- The output velocity corresponds to the input velocity, implying that the system effectively tracks the input.
Lagging Behavior
- Although the output matches the input in terms of magnitude, it does not do so instantaneously.
- The output is said to "lag" behind the input by a time constant, denoted as T.
- This lag is a result of the system's inherent dynamics, such as inertia and damping characteristics.
Conclusion
- Therefore, the statement that during steady state, the output velocity matches the input velocity but lags behind by T is indeed true.
- This behavior is crucial for system stability and performance in control applications, ensuring that the system can adapt to changes without overshooting or oscillating excessively.
Understanding this concept helps in designing and analyzing control systems in Electrical Engineering, ensuring they perform effectively in real-world applications.
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