Question

Sketch the asymptotic Bode plots of the magnitude and phase for

80s
H(s) = __________________ s = jω

(s + 10)(s + 20)(s + 40)

Answer 1

To sketch the asymptotic Bode plots of the magnitude and phase for the given transfer function, we can use the rules for sketching Bode plots.

Step-by-step explanation:

The given transfer function is H(s) = 80s / ((s+10)(s+20)(s+40)). To sketch the asymptotic Bode plots of the magnitude and phase, we can use the rules for sketching Bode plots:

1. Magnitude Plot: For each factor in the denominator, plot a line segment with slope -20dB/decade until the corner frequency, and then -40dB/decade after the corner frequency. For the numerator, plot a line segment with slope +20dB/decade.

2. Phase Plot: For each factor in the denominator, plot a line segment with slope -90 degrees until the corner frequency, and then -180 degrees after the corner frequency. For the numerator, plot a line segment with slope +90 degrees.

Based on these rules, the sketch of the magnitude plot and phase plot for H(s) = 80s / ((s+10)(s+20)(s+40)) can be obtained.