What is the output PEP of 500 volts peak-to-peak across a 50-ohm load?

To calculate Peak Envelope Power (PEP) from a peak-to-peak voltage, you must first determine the peak voltage (Vp). Peak voltage is exactly half of the peak-to-peak voltage, so 500 volts peak-to-peak gives a peak voltage of 250 volts. The most direct formula for calculating PEP using peak voltage across a resistive load is PEP = (Vp^2) / (2 × R). Plugging in the numbers: PEP = (250^2) / (2 × 50) = 62,500 / 100 = 625 watts. Alternatively, you can convert the peak voltage to RMS voltage (250 volts × 0.707 = 176.75 volts RMS) and use the standard power formula P = E^2 / R. This results in 176.75^2 / 50, which also calculates to 625 watts.