Consider again the RC-circuit of Exercise, but this time the voltage source is an amplifie...

Consider again the RC-circuit of Exercise, but this time the voltage source is an amplified square wave, with a period of thirty-two seconds and a duty cycle of 25%. Enter V_c' = (3*sqw(t,32,25) − V_c)/ (R*C) in the DFIELD6 Setup window. Keep the parameters R = 2.3 and C = 1.2, and adjust the display window so that 0 ≤ t ≤ 96 and 0 ≤ Vc ≤ 4.

a) Start a solution trajectory with initial condition Vc(0) = 0.

b) Make the DFIELD6 Display window inactive with Options→Make the Display Window inactive. Enter the following code in the MATLAB command window to superimpose the input voltage on the DFEELD6 Display window.

Think of the driving voltage as a signal input into the circuit and the solution trajectory as the resulting output signal. Note that the input signal has been somewhat attenuated; that is, the amplitude has decreased in the output signal.

c) Lower the period of the square wave input by entering V_c' = (3*sqw(t,16,25) − V_c)/(R*C) in the DFIELD6 Setup window. Start a solution trajectory with initial condition Vc(0) = 0. Superimpose the square wave as you did in part b). Note that the output signal is even further attenuated. Repeat this exercise, using periods of 8 and 4 for the input voltage and note how the circuit attenuates input signals with smaller periods (higher frequencies). Why would engineers name this circuit a low pass filter?