where ω is the frequency of the input signal — low-pass filter that passes signals with low frequencies ratio magnitudes voltages given

In a low-pass RL filter (a filter that passes signals with low frequencies), the ratio of the magnitudes of the voltages is given by:

where ω is the frequency of the input signal.

Write a user-defined MATLAB function that calculates the magnitude ratio. For the function name and arguments, use RV = LRFilt (R, L, w). The input arguments are R, the size of the resistor inn (ohms); L, the size of the capacitor in H (Henry); and w, the frequency of the input signal in rad/s. Write the function such that w can be a vector.

Write a program in a script file that uses the LRFilt function to generate a plot of RV as a function of ω for 10 < ω < 106 rad/s. The plot has a logarithmic scale on the horizontal axis (co). When the script file is executed, it asks the user to enter the values of R and L. Label the axes of the plot.

Run the script file with R = 600 Q, and L = 0.14 􀀯-

SOLUTION

Script file:

R=input('Please input the size of the resistor: ');

L=input('Please input the size of the inductor: ');

%can use logspace or explicitly create an appropriate array for w

power=1:.01:6;

w=10.^power;