Problem

Consider the RL circuit of Figure.(a) The square wave of Table is applied to the input of...

Consider the RL circuit of Figure.

(a) The square wave of Table is applied to the input of this circuit, with and X0 = 10 V. 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 Part (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.

TABLE Fourier Series for Common Signals

Name	Waveform	C0	Ck, k ≠ 0	Comments
1. Square wave		0		Ck = 0, k even
2. Sawtooth
3. Triangular wave				Ck = 0, k even
4. Full-wave rectified
5. Half-wave rectified				Ck = 0, k odd, except
6. Rectangular wave
7. Impulse train