How would you derive the peak voltage from the RMS voltage?

To derive the peak voltage from the RMS voltage, the relationship between the two values needs to be understood. The RMS voltage is a measure of the effective voltage of an alternating current (AC) circuit, while the peak voltage is the maximum voltage reached in that cycle.

The peak voltage is calculated using the formula where the RMS voltage is multiplied by the square root of 2, which is approximately 1.414. This conversion is specific to sine waves and reflects the fact that the RMS value accounts for the waveform's fluctuations. By using the relationship Peak = 1.414 x RMS, one accurately converts the effective voltage into the maximum voltage. This understanding is crucial for electrical engineering calculations and applications involving AC circuits.

Other options provide incorrect multipliers or methods that do not accurately represent the relationship between RMS and peak voltages in a sine wave context.