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:

V 0 V 1 = ω R C 1 + ω 2 R 2 C 2

where ω = 2 π f is the frequency of the input signal.

(a) Make a 3-D mesh plot of V 0 V 1 (z axis) as a function of f (x axis) for

1 ≤ f ≤ 10 − 6 Hz, and as a function of RC (y axis) for 0.4 × 10 − 4 ≤ R C ≤ 6 × 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.