In the code provided in the question, the Fourier coefficients (‘a_n’ and ‘b_n’) are calculated for a waveform, and then the amplitude for the nth harmonic is computed. However, I have listed some issues with the code below which we can fix to compute the right amplitude-
- Incorrect waveform definition: x(t) = 2 defines a constant function, but we need to define our actual waveform here.
- Incorrect Fourier coefficient formulas: ‘a_n’ and ‘b_n’ formulas appear to be symbolic and not directly related to standard Fourier coefficient formulas.
- Frequency mismatch: The frequency is set to 5 and ‘n’ as 1, but to match the 5/3 Hz component, we should ensure ‘n’ is chosen so that n/T_0 = 5/3.
Also, we need to find the correct harmonic number. Since the wave repeats every 2 seconds, T_0 = 2. Now, with this time period, we can calculate the harmonic, ‘n’, using the formula-
n = given_freq (5/3 Hz) / T_0
Using the above values, we can then calculate the required amplitude.
I hope the above explanation helps to solve the question.
