ESE 2024Q7
Q: Passing a sinusoidal voltage A sin ωt through a half-wave rectifier produces the clipped sine wave shown in the figure. A Fourier series expansion of the rectified wave is
(a)f(t) = (A/π) [1 + (π/2) sin ωt + 2 Σ_{n=1}^{∞} cos 2nωt / (4n² − 1)]
(b)f(t) = (A/π) [1 + (π/2) sin ωt − 2 Σ_{n=1}^{∞} cos 2nωt / (4n² − 1)]
(c)f(t) = (A/π) [1 − (π/2) sin ωt − 2 Σ_{n=1}^{∞} cos 2nωt / (4n² − 1)]
(d)f(t) = (A/π) [1 − (π/2) sin ωt + 2 Σ_{n=1}^{∞} cos 2nωt / (4n² − 1)]
Answer pending verification