Show that in the Bode plot of the standard, second-order transfer function, the asymptotic approximation of the

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Show that in the Bode plot of the standard, second-order transfer function, the asymptotic approximation of the logarithmic magnitude for the high-frequency range is given by

\[-40 \log \frac{\omega}{\omega_{n}}\]

which represents a straight line with a slope of \(-40 \mathrm{~dB} /\) decade.

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