Final answer:
To form a square wave with the highest possible frequency from the harmonic functions, we need to consider the number of terms in the summation and choose a frequency that includes at least the first few odd harmonics of the square wave.
Step-by-step explanation:
To form a square wave with the highest possible frequency from the harmonic functions, we need to consider the terms in the summation. The number of terms in the summation as a function of the maximum frequency can be determined using the Nyquist frequency. The Nyquist frequency states that in order to accurately represent a waveform, the sampling frequency should be at least twice the maximum frequency. In the case of a square wave, it contains odd harmonics that decrease in amplitude as the frequency increases. Therefore, the number of terms in the summation would be the highest odd harmonic frequency within the range of the function generator that is less than or equal to the chosen maximum frequency.
To choose a frequency for which the resultant resembles a square function, we need to select a frequency that includes at least the first few odd harmonics of the square wave. This would typically be around the 3rd or 5th harmonic. For example, choosing a frequency of 15MHz would include the 3rd harmonic (5MHz) and some of the higher odd harmonics.
The number of different frequencies that make up the resultant square wave depends on the number of harmonics included in the waveform. As mentioned earlier, a typical square wave includes odd harmonics. Therefore, the number of different frequencies that make up the resultant can be calculated by dividing the chosen maximum frequency by the frequency of the fundamental harmonic.