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The roots of the transfer function do not have any effect on the stability of the system.
- a)True
- b)False
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The roots of the transfer function do not have any effect on the stabi...
Explanation: The roots of transfer function also determine the stability of system as they may be real, complex and may have multiplicity of various order.
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The roots of the transfer function do not have any effect on the stabi...
Effect of Roots of Transfer Function on Stability
Stability of a system is determined by the location of the poles of the transfer function in the s-domain. The roots of the transfer function, which correspond to the poles of the system, play a crucial role in determining the stability of the system.
False Statement
The statement that the roots of the transfer function do not have any effect on the stability of the system is false. In fact, the location of the roots, specifically the poles, directly impacts the stability of the system.
Roots and Stability
- The poles of the transfer function determine the behavior of the system in the time domain.
- If the poles of the transfer function have negative real parts, the system is stable.
- If the poles have positive real parts, the system is unstable.
- If the poles have zero real parts, the system is marginally stable.
- The imaginary part of the poles determines the oscillatory behavior of the system.
Effect of Roots on Stability
The roots of the transfer function are crucial in determining the stability of the system. The poles dictate whether the system is stable, unstable, or marginally stable. Therefore, it is incorrect to state that the roots of the transfer function have no effect on the stability of the system.
Stability of a system is determined by the location of the poles of the transfer function in the s-domain. The roots of the transfer function, which correspond to the poles of the system, play a crucial role in determining the stability of the system.
False Statement
The statement that the roots of the transfer function do not have any effect on the stability of the system is false. In fact, the location of the roots, specifically the poles, directly impacts the stability of the system.
Roots and Stability
- The poles of the transfer function determine the behavior of the system in the time domain.
- If the poles of the transfer function have negative real parts, the system is stable.
- If the poles have positive real parts, the system is unstable.
- If the poles have zero real parts, the system is marginally stable.
- The imaginary part of the poles determines the oscillatory behavior of the system.
Effect of Roots on Stability
The roots of the transfer function are crucial in determining the stability of the system. The poles dictate whether the system is stable, unstable, or marginally stable. Therefore, it is incorrect to state that the roots of the transfer function have no effect on the stability of the system.
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The roots of the transfer function do not have any effect on the stability of the system.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?
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