Chapter 10, Problem 16P

A high-pass tiller passes signals with frequencies that are higher than a certain cutoff frequency. In this filter the ratio of the magnitudes of the voltages is given by:

$\left|\frac{V_0}{V_1}\right|=\frac{\omega RC}{\sqrt{1+{\omega }^2{R}^2{C}^2}}$

where $\omega =2\pi f$ is the frequency of the input signal.

(a) Make a 3-D mesh plot of $\left|\frac{V_0}{V_1}\right|$ (z axis) as a function of f (x axis) for

$1\le f\le {10}^{-6}$ Hz, and as a function of RC (y axis) for $0.4\times {10}^{-4}\le RC\le 6\times {10}^{-3}$ s. Use a logarithmic scale for the y axis. This can be done by typing the MATLAB command set (gca, ‘Xscale’, ‘log’) following the mesh command. A vector with constant spacing on a logarithmic scale can be created with the command logspace (a, b, n).

(b) Make a plot that is a projection on the x z plane.