Exercises

Thursday, 28 February 2019

2:14 PM

 

 

Find the Fourier series
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Determine the Fourier series of

A half-wave rectified sinusoid is input to a circuit.
What are the amplitude spectra of ﷐𝑉﷮𝑖𝑛﷯ and ﷐𝑉﷮𝑜𝑢𝑡﷯?
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﷐𝐴﷮𝑛﷯=﷐﷮﷐﷐﷐2﷮𝜋﷯﷯﷮2﷯+﷐0﷮2﷯﷯=﷐﷐﷐2﷮𝜋﷯:𝑛=1﷮﷐2﷮3𝜋﷯:𝑛=3﷮﷐2﷮5𝜋﷯:𝑛=5﷯﷯
﷐ϕ﷮𝑛﷯=−﷐﷐tan﷮−1﷯﷮﷐﷐2﷮π﷯﷮0﷯=−90°﷯ (same for all odd n)
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