Classical Dynamics of Particles and Systems · Problem 3-39

Nonlinear Oscillations and Chaos — Marion & Thornton

Physics — Mechanics · fourier-series-half-wave

Problem

Consider the periodic function F(t)={sin⁡ωt,0<t<π/ω0,π/ω<t<2π/ωF(t) = \begin{cases} \sin\omega t, & 0 < t < \pi/\omega \\ 0, & \pi/\omega < t < 2\pi/\omega \end{cases} which represents the positive portions of a sine function. (Such a function represents, for example, the output of a half-wave rectifying circuit.) Find the Fourier representation and plot the sum of the first four terms.

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