To determine the output amplitude of a 1500Hz sawtooth waveform passed through a band-pass filter between 500Hz and 1000Hz, we need to consider the characteristics of the filter and how it affects the input signal.
A band-pass filter allows frequencies within a specific range to pass through while attenuating frequencies outside that range. In this case, the band-pass filter allows frequencies between 500Hz and 1000Hz to pass through relatively unaffected.
A sawtooth waveform contains a fundamental frequency (in this case, 1500Hz) along with harmonics at integer multiples of the fundamental frequency. The output amplitude of each harmonic will depend on the filter's characteristics, such as its center frequency, bandwidth, and slope.
Since the band-pass filter is designed to allow frequencies between 500Hz and 1000Hz to pass through, the output amplitude will depend on the harmonics present in the original sawtooth waveform within that frequency range.
In the case of a sawtooth waveform, the harmonics decrease in amplitude as the frequency increases. Therefore, the higher harmonics (above 1000Hz) will likely be attenuated significantly by the band-pass filter. The exact output amplitude will also depend on the specific design parameters and response characteristics of the band-pass filter.
To obtain a precise calculation of the output amplitude, we would need additional information about the specific design and properties of the band-pass filter being used.