NEET Class neet Answered
higher the harmonic lesser the contribution to wave form please explain
Asked by Prashant DIGHE | 16 Mar, 2020, 10:26: PM
Expert Answer
A square wave is defined as, F(t) = 1 , when 0 ≤ t ≤ T/2 and F(x) = -1 when (T/2) < t ≤ T
When we analyse square wave by fourier series
we get F(x) = (4/π) { (1/1)sin[ (πt/T) ] + (1/3)sin[ (3πt/T) ] + (1/5)sin[ (5πt/T) ]+(1/7)sin[ (7πt/T) ]+.......... }
Hence a square wave of period T consists of fundamental sin[ (πt/T) ] and its infinite number of odd harmonics.
But the n-th odd harmonics has a factor (1/n) . In practical , though the square wave is made up of infinite number of odd harmonics,
after some finite number , its contribution is reduced by a factor (1/n) , hence higher the harmonic lesser the contribution
Answered by Thiyagarajan K | 17 Mar, 2020, 03:15: PM
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