select the wave that has the least value of form factora)Sinusoidalb)...
In square wave, the rms value and average value are same (whatever peak magnitude presents in that square wave). So, the form factor is equal to one. But, in other kind of waveforms (for example, sine, triangle, rectangle, etc), the average value is less than the rms value. So, the value of form factor is greater than one. Hence, as compared to other waveforms, square wave has least value of form factor.
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select the wave that has the least value of form factora)Sinusoidalb)...
The least value of form factor is for the Square wave.
Explanation:
1. Form Factor:
The form factor of a waveform is a measure of how closely the waveform resembles a perfect sinusoid. It is the ratio of the RMS value of the waveform to its average value.
2. Sinusoidal Wave:
A sinusoidal wave is a waveform that represents a perfect sinusoid. It has a smooth and continuous curve with no abrupt changes. The ratio of the RMS value to the average value for a sinusoidal wave is √2. Therefore, the form factor for a sinusoidal wave is √2.
3. Square Wave:
A square wave is a waveform that alternates between two constant amplitude levels. It has abrupt changes from one level to another. The ratio of the RMS value to the average value for a square wave is 1. Therefore, the form factor for a square wave is 1.
4. Triangular Wave:
A triangular wave is a waveform that ramps up and down linearly between two amplitude levels. It has smooth and continuous changes, but not as smooth as a sinusoidal wave. The ratio of the RMS value to the average value for a triangular wave is 1.155. Therefore, the form factor for a triangular wave is 1.155.
5. Sawtooth Wave:
A sawtooth wave is a waveform that ramps up linearly and then abruptly drops back to the starting level. It has abrupt changes similar to a square wave. The ratio of the RMS value to the average value for a sawtooth wave is 1.155. Therefore, the form factor for a sawtooth wave is 1.155.
Conclusion:
Among the given options, the square wave has the least value of form factor, which is 1. Therefore, option 'B' (Square) is the correct answer.