Consider the RL circuit of Figure P4.27. (a) The square wave of Table 4.3 i...

Consider the RL circuit of Figure P4.27.

(a) The square wave of Table 4.3 is applied to the input of this circuit, with T₀ = πs and X₀=10 y. Solve for the frequency spectrum of the output signal. Give numerical values for the amplitudes and phases of the first three nonzero sinusoidal harmonics.

(b) Verify the results in pail (a), using MATLAB.

(c) Let the input of the circuit be as in part (a), but with a dc value of 20 V added to the square wave. Solve for the frequency spectrum of the output signal. Give numerical values for the dc component and the first three nonzero sinusoidal harmonics.

(d) Is the circuit low pass? Why?

(e) The period of the square wave is changed to T₀ = 2π. State the effects of this change on the answers to parts (a) and (c), without solving these parts again. Give the reasons for your answers.