Chapter 7, Problem 37P

The simple RC high-pass filter shown in the figure passes signals with frequencies higher than a certain cutoff frequency. The ratio of the magnitudes of the voltages is given by:

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

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

Write a user-defined MATLAB function that calculates the ratio of magnitudes for given values of R, C, and f. For the function name and arguments, use RV=RCFi1t (R, C, f) * The input arguments are R, the size of the resistor in O (ohms); C, the size of the capacitor in F (farad); and f, the frequency of the input signal in Hz (hertz). Write the function such that f can be a vector. Write a program in a script file that uses the RCFi1t, function to generate a plot of RV as a function off for $10\le f\le 100,000$ Hz. The plot has a logarithmic scale on the horizontal axis. When executed, the script file asks the user to enter the values of Rand C. Label the axes of the plot.

Run the script file with R = 80O and C=5 µF.