Chapter 5, Problem 26P

A bandpass filter passes signals with frequencies that are within a certain range. In this filter the ratio of the magnitudes of the voltages is given by

$RV=\left|\frac{V_o}{V_i}\right|=\frac{\omega RC}{\sqrt{{\left(1-{\omega }^{2}LC\right)}^2+{\left(\omega RC\right)}^2}}$

where $\omega$ is the frequency of the input signal. Given $R=200\Omega$ , L = 8 mH, and $C=\mu \text{F}$ ,make two plots of RV as a function of $\omega$ for $10\le \omega \le 500000$ . In the first plot use linear scale for both axis, and in the second plot use logarithmic scale for the horizontal $\left(\omega \right)$ axis, and linear scale for the vertical axis. Which plot provides a better illustration of the filter?