# Solved Problems-9

Problems-9

Determine the Fourier series of repetitive waveform of figure up to 5
Calculate the fundamental frequency current in the circuit of the figure, where

^{th}harmonic, when time of repetition,*T*= 20 ms.*R*= 10 ohm and*L*= 0.0318H with voltage transform of the waveform.Solution

The wave is having half wave symmetry.

*a*=

_{n}*b*= 0 ; for

_{n}*n*even ; and

For

and
Now,
âˆ´
=
=
=
=
=
âˆ´

The fundamental frequency voltage is

Impedance,
Current due to fundamental frequency,
or

Here, rad/s

Patting this value,
âˆ´
âˆ´

*n*odd,*a*_{0 }= 0*v*(*t*) =The fundamental frequency voltage is

*Z*= (*R*+*jÏ‰**L*) = 10 +*jÏ‰*(0.318)Here, rad/s

Patting this value,