# Frequency Domain Analysis – Exercise – 1

1. The magnitude-frequency response of a control system is shown in the figure. The value of ω1 and ω2 are respectively :

(a) 10 and 200
(b) 20 and 200
(c) 20 and 400
(d) 100 and 400

Explanation
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2. A system has fourteen poles and two zeros. The slope of its highest frequency asymptote in its magnitude plot is :

Explanation
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3. The phase angle of the system

$\dpi{100} G(s) = s+5/s^2+4s+9$
varies between :

(a) 0° and 90°
(b) 0° and -90°
(c) 0° and -180°
(d) -90° and -180°

Explanation
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4. The following Bode plot represents :

(a) 100s2/(0.1+0.1s)3
(b) 1000s2/(1+0.1s)3
(c) 100s2/(1+0.1s)5
(d) 1000s2/(1+0.1s)5

Explanation
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5. The open-loop transfer function of a unity feedback control system is 10/(s +5)3. The gain margin of the system will be :

(a) 20 dB
(b) 40 dB
(c) 60 dB
(d) 80 dB