# Solved Problems-9

Problems-9
Determine the Fourier series of repetitive waveform of figure up to 5th harmonic, when time of repetition, T = 20 ms.

Calculate the fundamental frequency current in the circuit of the figure, where R = 10 ohm and L = 0.0318H with voltage transform of the waveform.

Solution
The wave is having half wave symmetry.

an = bn = 0 ; for n even ; and

For n odd,

and a0 = 0

Now, v(t) =

âˆ´

âˆ´

The fundamental frequency voltage is

Impedance, Z = (R + jÏ‰L) = 10 + jÏ‰(0.318)

Current due to fundamental frequency,

or