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In the single-pulse width modulation method, the Fourier coefficient bn is given by
  • a)
    (Vs/π) [sin(nπ/2) sin(nd)].
  • b)
    0
  • c)
    (4Vs/nπ) [sin(nπ/2) sin(nd)].
  • d)
    (2Vs/nπ) [sin(nπ/2) sin(nd)].
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In the single-pulse width modulation method, the Fourier coefficient b...
The Fourier analysis is as under:
bn = (2/π) ∫ Vs sin⁡ nωt .d(ωt) , Where the integration would run from (π/2 + d) to (π/2 – d)
2d is the width of the pulse.
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Community Answer
In the single-pulse width modulation method, the Fourier coefficient b...
In the single-pulse width modulation method, the Fourier coefficient bn is given by:

bn = (2Vs/T) * ∫[t_on, t_off] sin(nωt)dt

where bn is the nth Fourier coefficient, Vs is the amplitude of the sine wave that is being modulated, T is the period of the modulation signal, t_on is the starting time of the pulse, t_off is the ending time of the pulse, ω is the angular frequency (2πf) of the sine wave, and n is the order of the Fourier coefficient.
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