Frequency Domain Analysis – Exercise – 1

16. For a stable system :

(a) gain margin must be positive but phase margin can be positive or negative
(b) phase margin must be positive but gain margin can be positive or negative
(c) both gain margin and phase margin must be positive
(d) one of them must be zero

Answer
Answer : (c)
Explanation
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17. At the phase crossover frequency, ω =10 rad/s,│G(j ω)H(j ω) │= 15 dB. Its gain margin :

(a)  15 dB
(b)  0 dB
(c)  -15 dB
(d)  cannot be predicted

Answer
Answer : (c)
Explanation
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18. At the gain crossover frequency :

(a) │G G(jω)H(jω) │ = 0 dB
(b) │ G(jω)H(jω) │ = 1 dB
(c) │ G(jω)H(jω) │ = -20 dB
(d) │ G(jω)H(jω) │ = 20 dB

Answer
Answer : (a)
Explanation
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19. For the pole factor 1/(s+5), the corner frequency is :

(a) ω = 1/5
(b) ω = 5
(c) ω = -5
(d) ω = -1/5

Answer
Answer : (b)
Explanation
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20. For a second – order system, ωn = 8 and ξ= 0.5. The value of ωr in rad/s is :

(a)  4.657
(b)  5.657
(c)  6.657
(d)  none of these

Answer
Answer : (b)
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