Question
Download Solution PDFThe waveform is given by v(t) = 10 sin (2π100t). What will be the magnitude of the second harmonic in its Fourier series representation?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The exponential representation of the Fourier series is given by:
\(x\left( t \right) = \;\mathop \sum \limits_{ - \infty }^\infty {C_k}\;{e^{jk{ω _0}t}}\)
Where, Ck in the Fourier coefficient given by:
\({C_k} = \frac{1}{{{T_0}}}\smallint x\left( t \right)\;{e^{ - jk{ω _0}t}}dt\)
Given:
v(t) = 10 sin (2π100t)
ω0 = 200π
v(t) = (10 ej200πt - 10 e-j200πt )/2j
∴ The second harmonic = 0
Last updated on Jun 23, 2025
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