A square-wave voltage generator has amplitude (a jump of at each edge) and period

PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Fourier analysis and integral transforms · Fourier analysis and integral transforms

Mathematical Methods for Physics, Ch Fourier series and periodic decomposition

Problem

A square-wave voltage generator has amplitude

A = 6.0\,\mathrm{V}

(a jump of

2A = 12.0\,\mathrm{V}

at each edge) and period

L = 2.0\,\mathrm{ms}

. For this waveform, the peak of the Fourier partial sum beside the jump, using

N

non-zero terms, occurs at

x = L/(4N)

with height

1.188A

for

N=3

and

1.179A

for

N=49

. ((a)) Find the peak voltage and its position for the

N=3

partial sum. ((b)) Find the peak voltage and its position for the

N=49

partial sum.

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