Chapter 7, Problem 38P

A circuit that filters out a certain frequency is shown in the figure. In this fitter, the ratio of the magnitudes of the voltages is given by:

$RV=\left|\frac{V_0}{V_1}\right|=\frac{\left|R(1-{\omega }^{2}LC)\right|}{\sqrt{{(\omega L)}^2+{(R-R{\omega }^{2}LC)}^2}}$

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 the function name and arguments. use RV=filtafreq(R, C, L, f). The input arguments are R the size of the resistor in L (ohms); C. the size of the capacitor in F (farad); L. the inductance of the coil in H (henrys); 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 filtafreq function to generate a figure with two plots of RV as a function off for $10\le f\le 100,000$ Hz. In one plot C = 160 µF, L = 45 mH, and R = 200O and in the second plot C and L are unchanged but R = 50O. The plot has a logarithmic scale on the horizontal axis. Label the axes and display a legend.