Question 6. The complex Fourier series representation of a periodic function of period 2 is given by FS(t) = [a Σ n=-∞ where Cn Cne-int 6 n³ = 4+ -(4 - 5(−1)n)j. Find, to three decimal places, the amplitude ₁ and phase & for n=1,2. Enter the real and imaginary values of c-₁ in the appropriate boxes below. Enter ₁ correct to 3 decimal places: Enter correct to 3 decimal places: Enter c₂ correct to 3 decimal places: Enter 2 correct to 3 decimal places: Enter the real part of c_₁: C-1 C-1 Enter the imaginary part of c_₁: 00
Question 6. The complex Fourier series representation of a periodic function of period 2 is given by FS(t) = [a Σ n=-∞ where Cn Cne-int 6 n³ = 4+ -(4 - 5(−1)n)j. Find, to three decimal places, the amplitude ₁ and phase & for n=1,2. Enter the real and imaginary values of c-₁ in the appropriate boxes below. Enter ₁ correct to 3 decimal places: Enter correct to 3 decimal places: Enter c₂ correct to 3 decimal places: Enter 2 correct to 3 decimal places: Enter the real part of c_₁: C-1 C-1 Enter the imaginary part of c_₁: 00
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Question 6.
The complex Fourier series representation of a periodic
function of period 2 is given by
FS(t)
=
Σ
n= ∞
Cne-int
where cn = 4+
I
6
n³
(4-5(-1)")j.
Find, to three decimal places, the amplitude |c₂| and phase on
for n=1,2.
Enter the real and imaginary values of c-₁ in the appropriate
boxes below.
Enter ₁ correct to 3 decimal places:
Enter correct to 3 decimal places:
Enter |c₂| correct to 3 decimal places:
Enter 2 correct to 3 decimal places:
Enter the real part of c_₁:
Enter the imaginary part of c_₁:
C-1
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