What is the effective voltage of a 100V Peak-to-Peak sine wave?

To determine the effective voltage, often referred to as the root mean square (RMS) voltage, of a sine wave from its peak-to-peak value, it's essential to use the correct conversion formulas. A sine wave's peak-to-peak voltage (Vpp) is the total voltage swing from the highest peak to the lowest peak.

The effective voltage (Vrms) can be calculated from the peak voltage (Vp) using the formula:

[ Vrms = \frac{Vp}{\sqrt{2}} ]

To find the peak voltage from the peak-to-peak value, you divide the peak-to-peak voltage by 2:

[ Vp = \frac{Vpp}{2} = \frac{100V}{2} = 50V ]

Now, substituting this peak voltage into the RMS formula gives:

[ Vrms = \frac{50V}{\sqrt{2}} \approx 35.35V ]

Thus, the effective voltage of a 100V Peak-to-Peak sine wave is approximately 35.35 VAC. This calculation aligns with the correct answer, confirming its accuracy based on the principles of sinusoidal waveforms. In contrast, other potential answers do not utilize the