Final answer:
To sketch the asymptotic magnitude Bode plot corresponding to |H(ω)|, the given transfer function -800000jω / ((10+jω)(20+jω)(200+jω)) needs to be analyzed at different frequencies. For low frequencies (ω < 10), the magnitude approaches 0 dB. For high frequencies (ω > 200), the magnitude approaches -40 dB/dec. At the poles of the transfer function (10, 20, and 200), there will be downward slopes of -20 dB/dec.
Step-by-step explanation:
The given transfer function is H(ω) = -800000jω / ((10+jω)(20+jω)(200+jω)). To sketch the asymptotic magnitude Bode plot corresponding to |H(ω)|, we need to break down the transfer function into its individual components and analyze the behavior at different frequencies.
For low frequencies (ω < 10), the denominator dominates and the magnitude approaches 0 dB. For high frequencies (ω > 200), the numerator dominates and the magnitude approaches -40 dB/dec. Between these two ranges, at the poles of the transfer function (10, 20, and 200), there will be downward slopes of -20 dB/dec.
Based on these observations, the sketch of the asymptotic magnitude Bode plot will show a flat line at 0 dB until ω = 10, then a downward slope of -20 dB/dec until ω = 20, a further downward slope of -20 dB/dec until ω = 200, and a final downward slope of -40 dB/dec beyond ω = 200.