Question

Question 4 For the given function $f(t) = \begin{cases} 2t & \text{for } 0 < t < 2 \\ 4 & \text{for } 2 < t < 6 \end{cases}$ with a period $T = 6$. The Fourier coefficients ($a_1, b_1$) for the trigonometric form are -2.119 and -0.7468 respectively, then the complex coefficient $D_1$ (Complex Fourier series representation) can be expressed as Answers: $-0.456 + j0.3734$ $0.3734 - j0.456$ $0.456 + j0.3734$ $0.456 - j0.3734$

          Question 4
For the given function $f(t) = \begin{cases} 2t & \text{for } 0 < t < 2 \\ 4 & \text{for } 2 < t < 6 \end{cases}$ with a period $T = 6$. The Fourier coefficients ($a_1, b_1$) for the trigonometric form are -2.119 and -0.7468 respectively, then the complex coefficient $D_1$ (Complex Fourier series representation) can be expressed as
Answers: $-0.456 + j0.3734$
$0.3734 - j0.456$
$0.456 + j0.3734$
$0.456 - j0.3734$

Question 4
For the given function f(t) = 2t for 0 < t < 2
4 for 2 < t < 6 with a period T = 6. The Fourier coefficients (a1, b1) for the trigonometric form are -2.119 and -0.7468 respectively, then the complex coefficient D1 (Complex Fourier series representation) can be expressed as
Answers: -0.456 + j0.3734
0.3734 - j0.456
0.456 + j0.3734
0.456 - j0.3734

Added by Irene R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Question 4 For the given function f(1) = 21 for 0 < t < 2 and f(t) = 4 for 2 < t < 6 with a period T = 6. The Fourier coefficients b0 and b1 are -0.7468 and 0.456 respectively. Then the complex coefficient D (Complex Fourier series representation) can be expressed as Answers 0.456 - j0.3734, 0.3734 - 0.456, 0.456 + 0.3734, 0.456 - 0.3734.