Find the true statement.a)The value of the harmonic is equal to its co...
When the bandwidth is large enough to accommodate a few harmonics, the information is not lost and the rectangular signal is more or less recovered. This is so because the higher the harmonic, the less is its contribution to the waveform. Therefore, the value of the harmonic is inversely proportional to its contribution to the waveform.
Find the true statement.a)The value of the harmonic is equal to its co...
The statement that "The value of the harmonic is inversely proportional to its contribution to the waveform" is true.
Explanation:
- **Harmonic Value**: The value of a harmonic refers to its magnitude or amplitude in a waveform.
- **Contribution to the Waveform**: The contribution of a harmonic to a waveform is determined by how much it affects the overall shape or characteristics of the waveform.
- **Inversely Proportional Relationship**: When something is inversely proportional, it means that as one value increases, the other value decreases. In this case, the statement is referring to the relationship between the value of a harmonic and its contribution to the waveform.
- **Explanation**: A harmonic that has a higher value will actually have a smaller contribution to the waveform, and vice versa. This is because harmonics with lower values have a more significant impact on the overall shape of the waveform, while higher-value harmonics have a lesser effect.
- **Example**: For example, in a Fourier series analysis of a waveform, the fundamental frequency (which has the highest contribution) will have the lowest value compared to its harmonics. This is because the fundamental frequency shapes the waveform the most, while higher harmonics contribute less to the overall shape.
Therefore, the statement that "The value of the harmonic is inversely proportional to its contribution to the waveform" accurately describes the relationship between harmonic value and its impact on the waveform.