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Control system miscellaneous

  1. The gain margin of the transfer function
    G(s) =
    0.75
    (s + 1)(s + 2)

    will be _____dB
    1. 2 dB
    2. 12 dB
    3. 16 dB
    4. 32 dB
Correct Option: B

GM =
K T1 T2
-1
T1 + T2

Here, K = 0.75, T1 = 1, T2 = 0.5
∴ GM =
0.75 × 1 × 0.5
-1 = 2.4
1 + 0.5

∴ GM = 20 log a = 12 dB



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