If a system is given unbounded input then the system is:a)Stableb)Unst...
Explanation: If the system is given with the unbounded input then nothing can be clarified for the stability of the system.
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If a system is given unbounded input then the system is:a)Stableb)Unst...
Understanding System Stability
When discussing system stability, particularly in the context of electrical engineering, it is crucial to understand the implications of unbounded input.
Definition of Unbounded Input
- An unbounded input refers to a signal that can grow indefinitely without constraints.
- Examples include a ramp signal or a sinusoidal input with increasing amplitude.
System Stability
- A stable system produces a bounded output in response to bounded input.
- If the input to the system is unbounded, the system's response is unpredictable.
Why Option 'C' is Correct
- When a system is subjected to unbounded input, it may not be possible to define its behavior accurately.
- The output may tend toward infinity or exhibit erratic behavior, making it "not defined" in a practical sense.
- Therefore, the system's response cannot be classified as stable or unstable; it simply lacks a defined response.
Implications of Unbounded Input
- Such inputs can lead to saturation of components or nonlinear behavior in many systems.
- Engineers must design systems to handle expected input ranges safely.
In summary, when a system is given unbounded input, its behavior becomes undefined, and thus, option 'C' is the most fitting answer in this context. Understanding this concept is vital for ensuring the reliability and functionality of electrical systems.