Assertion (A): The phase angle plot in Bode diagram is not affected by...
Answer: c
Explanation: The variation in the gain of the system has effect on the phase margin but phase plot is not affected.
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Assertion (A): The phase angle plot in Bode diagram is not affected by...
Assertion (A): The phase angle plot in a Bode diagram is not affected by the variation in the gain of the system.
Reason (R): The variation in the gain of the system has no effect on the phase margin of the system.
Explanation:
A Bode plot is a graphical representation of a system's frequency response. It consists of two plots: one for the magnitude response (gain) and another for the phase response. The gain plot shows how the magnitude of the system's output varies with frequency, while the phase plot shows how the phase angle of the output varies with frequency.
Assertion (A): The phase angle plot in a Bode diagram is not affected by the variation in the gain of the system.
The phase angle plot in a Bode diagram represents the phase shift introduced by the system at different frequencies. The phase shift is determined by the system's transfer function, which is independent of the gain of the system. Therefore, the phase angle plot remains unchanged even if the gain of the system is varied.
Reason (R): The variation in the gain of the system has no effect on the phase margin of the system.
The phase margin is a measure of the stability of a system. It is defined as the amount of phase shift that can be introduced before the system becomes unstable. The phase margin depends on the gain and phase characteristics of the system. However, the variation in the gain of the system does not directly affect the phase margin. The phase margin is primarily influenced by the phase response of the system, which is represented by the phase angle plot in the Bode diagram. Hence, the variation in the gain of the system does not affect the phase margin.
Conclusion:
Both the assertion and reason are true, but the reason is not the correct explanation of the assertion. The reason states that the variation in the gain of the system has no effect on the phase margin, which is not entirely accurate. While the gain does not directly affect the phase margin, it indirectly influences it through the phase response. Therefore, option C is the correct answer.
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