Question
Chapter 12, Problem 12.16 Describe the sketch of the magnitude characteristic of the Bode plot for...
Chapter 12, Problem 12.16 Describe the sketch of the magnitude characteristic of the Bode plot for the transfer function The magnitude asymptote plot has a slope of dB/decade from ω-0 to ω! rad/s, a slope of dB/decade from ω1 to ω2- 5 rad/s, a slope of dB/decade from ω2 to ω3-65 rad/s, and a slope of dB/decade from w3 to oo. The value of the magnitude asymptote at 0.1 rad/s is dB. Click if you would like to Show Work for this question: Open Show Work
Answers
Apology for the mistakes.
G(jw) = 100 (jw + 5.00) (jw + 65.0)� therefore k = 100 times 5 times 65/140 times 140 = 232.14/140 = 1.65� corner frequencies are 5,65,140 therefore the mag. Asymptote plot has a slope of - 40 dB/decade� from w_0 to w_1 = 5 rad/s slope of -20 db/d from w_1 to w_2 = 65 rad/s slope of 0 dB/d from w_2 to w_3 = 140 rad/s� slope of -40 dB/d from w_3 to proportional� the mag of asymptote at 0.1 rad/s is� 40 = x/log 1.28 - log 0.1 x = 40 (log 1.28 - log 0.1)� = 44.39 dB��������
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