# Peak Envelope Power Calculator, Formula, Peak Envelope Power Calculation

## Peak Envelope Power Calculator:

Enter the values of peak voltage, V(V) and resistance, R(Ω) to determine the value of Peak envelope power, PEP(W).

 Enter Peak Voltage: W Enter Resistance: Ω Result – Peak Envelope Power: W

## Peak Envelope Power Formula:

Peak Envelope Power (PEP) is the maximum power output of a signal at its peak during one cycle of modulation, typically measured in watts (W). It represents the highest instantaneous power level within the signal’s envelope.

In radio frequency (RF) communications, PEP is an important measure because it helps in determining the capability of a transmitter to handle the peak levels of a modulated signal. This is crucial for ensuring the signal’s integrity and avoiding distortion.

PEP is directly proportional to the square of the peak voltage. A higher peak voltage in the modulated signal translates to a higher PEP.

The formula often considers the resistance (or impedance) of the system. A lower resistance allows for a higher current flow at the same voltage, potentially leading to higher PEP.

In a modulated signal, the amplitude (voltage) of the carrier wave is varied to encode information. This variation creates an “envelope” around the carrier wave, with peaks representing the highest points of the modulation.

PEP focuses on the maximum power delivered at these peak points of the envelope.

Peak envelope power, PEP(W) in watts is calculated by dividing the square of peak voltage, V(V) in volts by two times of resistance, R(Ω) in ohms.

Peak envelope power, PEP(W) = V2(V) / 2 * R(Ω)

PEP(W) = peak envelope power in watts, W.

V(V) = peak voltage in volts, V.

R(Ω) = resistance in ohms, Ω.

### Peak Envelope Power Calculation:

#### 1. Finding Peak Current (I):

Given:

Peak Envelope Power, PEP(W) = 100 W

Load resistance, R(Ω) = 50 Ω

Peak envelope power, PEP(W) = V2(V) / 2 * R(Ω)

V(V) = √(PEP(W) * 2 * R(Ω))

V(V) = √(100 * 2 * 50)

V(V) = √10000

V(V) = 100V.

### 2. Finding Peak Envelope Power:

Given:

Peak voltage, V(V) = 200 V

Load resistance, R(Ω) = 100 Ω