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Jd303
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Homework Statement
What is the percentage of power (out of the total power) contained up to the third harmonic (power in DC component, a1 , a-1 , a2 , a-2 , a3 , a-3 ) of the square waveform shown above? (the duty cycle = D = τ/T0= 0.5)
Homework Equations
The Attempt at a Solution
Hey all,
The following question refers to the attached diagram. I thought the question was simple enough due to the amplitude being 1, and the value of D being 0.5.
The simplified formula I calculated for the answer is 2/(k*pi) for odd harmonics (as even values of k result in a value of 0)
-However when adding 2/pi and 2/(3*pi) i get 0.8488 and hence 84.9%
However the multiple choice answers are 96.7, 95, 72.5 and 73.3%
I am not sure whether this is a simple mistake or a large misunderstanding of the theory.
Any help would be much appreciated!
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