If (t) = eu (-t), what is its Fourier Transform?3+ jwO The Fourier Transform doesn't existO 8(t – 3)O 8(t+3)O None of the other answers

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If (t) = etu(-t),what is its Fourier Transform? 3+jw

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter35: Harmonics 916

Section: Chapter Questions

Problem 2RQ: Which of the following are considered triplen harmonics: 3rd, 6th, 9th, 12th, 15th, and 18 th?

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Concept explainers

Fourier Transform

In mathematics, the Fourier transformation is a mathematical transformation that rotates responsibilities by using region or time into tasks depending on the local or temporal frequency, such as the rendering of a musical track in step with existing volumes and frequencies. The term Fourier amendment refers to each illustration of the frequency range and the mathematical functionality related to the representation of the frequency domain and the function of space or time.

Question

If (t) = eu (-t), what is its Fourier Transform?
3+ jw
O The Fourier Transform doesn't exist
O 8(t – 3)
O 8(t+3)
O None of the other answers

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These are the steps I did to get my answer:1. Apply the Fourier transform to transform the circuit2. Use voltage division3. From the figure, find V(w) of the given V(t). In this case V(t) = 2 rect(t/4)4. Apply the Fourier transform formula to find V(w)5. Vo(w) = (4sin(2w))/(w(2+jw)). I used partial fractions and got Vo(w) = 54.58(1/(2+jw))6. Apply the inverse of the Fourier transform. Therefore, my final answer is Vo(t)=(54.58e^-(2t)) u(t) VCould you please check your answer? The expression you obtained for Vo(t) seems wrong. But I also want to make sure that my answer is correct.