The asymptotic Bode plot of the transfer function \(\frac{\mathrm{K}}{1+\frac{s}{a}}\) is given in figure. The error in phase angle and \(\mathrm{dB}\) gain at a frequency of \(\omega=0.5 a\) are respectively

(a) \(4.9^{\circ}, 0.97 \mathrm{~dB}\)
(b) \(5.7^{\circ}, 3 \mathrm{~dB}\)
(c) \(4.9^{\circ}, 3 \mathrm{~dB}\)
(d) \(5.7^{\circ}, 0.97 \mathrm{~dB}\)

Transcribed Image Text:

GdB Ph 20 log K 0.1a a 20 dB/decade 10a + (0) (10) 45%/decade