Figure P.7.42 depicts an electric field in time and the Fourier components that compose it. The units

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Figure P.7.42 depicts an electric field in time and the Fourier components that compose it. The units are arbitrary. Given that

1 =–+ sin wt + 3 1 sin 2wt + -sin 3wt 6. 1 cos 2wt + 6. E(t)

(a) Explain why the series contains both sine and cosine terms.

(b) Why does the series contain harmonic terms having arguments with odd and even multiples of ωt?

(c) What is the value of the DC term? 

(d) What is the value of A0?

(e) What is the value of the period of E(t)?

Figure P.7.42

(a) 1.2 E(t) 0.8 0.4 Time 1 2 3 4 5 6 7/8 9 10 15 -0.4 -0.8 (b) 1.2 0.8 0.4 Time -0.4 10 15 -0.8 Electric field Electric

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Optics

ISBN: 978-0133977226

5th edition

Authors: Eugene Hecht

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