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Solved Problems-12

A square wave has a value 10 from Description: 3813.png to Description: 3819.png, zero from Description: 3825.png to Description: 3831.png, 10 from Description: 3837.png to Description: 3847.png and so on. Find the Fourier series expansion of the wave.
For the square wave given, time period is 2π. The Fourier coefficients are evaluated as,
Description: 3860.png
Description: 3866.png
Description: 3872.png
Therefore, the Fourier series is given as,
Description: 3878.png

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