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For the given periodic function  with a period T = 6. The complex form of the Fourier series can be expressed as   The complex coefficient  can be expressed as
Select one:
  • a)
    0.3734 – 0.4560i
  • b)
    0.4560 – 0.3734i
  • c)
    –0.4560 + 0.4560i
  • d)
    0.4560 + 0.3734i
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For the given periodic functionwith a period T = 6. The complex form o...
The coefficient  (corresponding to k = 1) can be expressed  as :

The coefficient b1 of the continuous Fourier series associated with the above given function f(t) can be computed as

since  
and 
Hence 

b1 = –0.7468
The coefficient a1 of the continuous Fourier series associated with the above given function f(t) can be computed with k = 1 and T = 6 as following :


a1 = –0.9119

The correct answer is: –0.4560 + 0.3734i
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Most Upvoted Answer
For the given periodic functionwith a period T = 6. The complex form o...
The coefficient  (corresponding to k = 1) can be expressed  as :

The coefficient b1 of the continuous Fourier series associated with the above given function f(t) can be computed as

since  
and 
Hence 

b1 = –0.7468
The coefficient a1 of the continuous Fourier series associated with the above given function f(t) can be computed with k = 1 and T = 6 as following :


a1 = –0.9119

The correct answer is: –0.4560 + 0.3734i
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Community Answer
For the given periodic functionwith a period T = 6. The complex form o...
D
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For the given periodic functionwith a period T = 6. The complex form of the Fourier series can be expressed asThe complex coefficientcan be expressed asSelect one:a)0.3734 – 0.4560ib)0.4560 – 0.3734ic)–0.4560 + 0.4560id)0.4560 + 0.3734iCorrect answer is option 'D'. Can you explain this answer?
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For the given periodic functionwith a period T = 6. The complex form of the Fourier series can be expressed asThe complex coefficientcan be expressed asSelect one:a)0.3734 – 0.4560ib)0.4560 – 0.3734ic)–0.4560 + 0.4560id)0.4560 + 0.3734iCorrect answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about For the given periodic functionwith a period T = 6. The complex form of the Fourier series can be expressed asThe complex coefficientcan be expressed asSelect one:a)0.3734 – 0.4560ib)0.4560 – 0.3734ic)–0.4560 + 0.4560id)0.4560 + 0.3734iCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For the given periodic functionwith a period T = 6. The complex form of the Fourier series can be expressed asThe complex coefficientcan be expressed asSelect one:a)0.3734 – 0.4560ib)0.4560 – 0.3734ic)–0.4560 + 0.4560id)0.4560 + 0.3734iCorrect answer is option 'D'. Can you explain this answer?.
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