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Control system miscellaneous

  1. The magnitude Bode plot of a network is shown in the figure

    The maxi mum phase angle φm and t he corresponding gain Gm respectively, are
    1. – 30° and 1.73dB
    2. – 30° and 4.77dB
    3. +30° and 4.77dB
    4. +30° and 1.73dB
Correct Option: C

G(s) = k.
(1 + 3s)
(1 + s)

G(s) = 3k.s + 1
3
(s + 1)

Here k = 1
1
=
1
1
= 1
T3αT

ωm =
1
; α =
1
33


G m | in dB = 20 log √3 = 4.77 dB
φm = sin-1
1 - α
1 + α

α = 1 / 3 = sin-1
1 - 1 / 3
= sin-1
1
1 + 1 / 32

φm = 30°



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