State what types of symmetry the function has Justify your a

State what types of symmetry the function has. Justify your answer. Determine the Fourier coefficients for f(t). Write the first four terms of the Fourier Series for f(t). If V_m is 120 V and T is 10 ms, estimate F_RMS using the first five nonzero terms of the Fourier series.

Solution

1 sol: Considering the given signal.Redraw th signal for the condition f(-t) and -f(-t)

          f(t) = -f(t), Hence the signal is said to be odd symmetry.

              Hence the signal is odd and half wave symmetry.

2 sol: Since it is odd and half wave symmetry only sine terms for odd harmonics are present i.e only b_n terms are present.