Fourier series half and full wave rectifiers

[steph_mil]

Homework Statement

(a) The negative half-cycles of a sinusoidal waveform E(t) = E0*cos(omega*t) are removed by a half-
wave rectifier. Find the Fourier series representing the resulting wave in the output.
(b) Find the output produced by a full-wave rectifier, which inverts the negative half-cycles.

Homework Equations

Honestly, I am taking a graduate optics class, but wasn't exposed much to Fourier Series as an undergrad. My textbook gives the general equation for a Fourier series and how to compute the coefficients, but I'm not sure how to use them because there are no examples.

The Attempt at a Solution

Do I solve for the coefficients A and B first by plugging in my equation for E(t) in for f(x)?

 

[DaveE]

Do I solve for the coefficients A and B first by plugging in my equation for E(t) in for f(x)?

Um, yes, I think so. Although I'm not sure exactly what A, B, x, and f(x) are. You will just need to review the math of Fourier analysis and use the repetitive half sine function for the time domain input. It should be pretty straight forward after your review.