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Consider a unity feedback system having an open-loop transfer function
G(jω) = K jω (j 0.2 ω + 1)(j 0.05 ω + 1)
For K = 1, GM = 28 dB. When GM at 20 dB, K will be equal to______
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- 0.25
- 25
- 5
- 2.5
Correct Option: D
For a GM of 20 db, the Nyquist plot should intersect the real axis at a,
where, 20 log | = 20 | |||
a |
⇒ a = 0.1
This is achieved if the system gain is increased by a factor of | = 2.5 | |||
0.04 |
Thus K = 2.5