Question

Example: Calculate the rms value and the THD for the following quasi-square waveform. i(t) a 7?/6 11?/6 t 0?/6 5?/6 2? -a USE Fourier series and Fourier coefficients with even and odd symmetry to get the solution below. ANSWER:- ao = 0; an = 0 egin{equation} b_n = egin{cases} frac{4a}{npi} left[Cos frac{npi}{6} ight] & ext{for } n = 1,3,5,7,9... \ 0 & ext{for } n = 2,4,6,8,..... end{cases} = frac{2sqrt{3}a}{npi} egin{cases} 1 & n = 1,11,13,...\-1 & n = 5,7,17,19,...\0 & ext{otherwise} end{cases} end{equation}

          Example: Calculate the rms value and the THD for the following quasi-square waveform.

i(t)
a
7?/6 11?/6
t
0?/6 5?/6
2?
-a
USE Fourier series and Fourier coefficients with even and odd symmetry to get the solution below.
ANSWER:-
ao = 0; an = 0
egin{equation*}
b_n = egin{cases}
frac{4a}{npi} left[Cos frac{npi}{6}
ight] & 	ext{for } n = 1,3,5,7,9... \
0 & 	ext{for } n = 2,4,6,8,.....
end{cases} = frac{2sqrt{3}a}{npi} egin{cases}
1 & n = 1,11,13,...\-1 & n = 5,7,17,19,...\0 & 	ext{otherwise}
end{cases}
end{equation*}

$Example: Calculate the rms value and the THD for the following quasi-square waveform. i(t) a 7?/6 11?/6 t 0?/6 5?/6 2? -a USE Fourier series and Fourier coefficients with even and odd symmetry to get the solution below. ANSWER:- ao = 0; an = 0 eginequation* bn = egincases frac4anpi left[Cos fracnpi6 ight] extfor n = 1,3,5,7,9... 0 extfor n = 2,4,6,8,..... endcases = frac2sqrt3anpi egincases 1 n = 1,11,13,...1 n = 5,7,17,19,... extotherwise endcases endequation*$

Added by Nuria S.

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