Calculate RF average power, peak power, or duty cycle from any two values, with unit conversion between W, kW, MW, and % for RF signals.
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RF Average Power to Peak Power Formula
The relationship between RF average power, peak power, and duty cycle is based on pulsed RF operation. Duty cycle is entered as a percent.
P_{avg} = P_{peak} * \frac{D}{100}P_{peak} = \frac{P_{avg}}{D/100}D = \frac{P_{avg}}{P_{peak}} * 100- Pavg = average RF power, in W, kW, or MW
- Ppeak = peak RF power during the pulse, in W, kW, or MW
- D = duty cycle, as a percent
If you enter average power and duty cycle, the calculator solves for peak power. If you enter peak power and duty cycle, it solves for average power. If you enter average power and peak power, it solves for duty cycle.
The power units are converted to watts for the calculation, then converted back to the selected output unit.
Common Duty Cycle Conversions
| Duty Cycle | Decimal Form | Meaning |
|---|---|---|
| 1% | 0.01 | Signal is on 1% of the time |
| 5% | 0.05 | Average power is 5% of peak power |
| 10% | 0.10 | Average power is 10% of peak power |
| 25% | 0.25 | Average power is one quarter of peak power |
| 50% | 0.50 | Average power is half of peak power |
Power Unit Reference
| Unit | Equivalent in Watts | Example |
|---|---|---|
| W | 1 W | 500 W = 500 W |
| kW | 1,000 W | 2 kW = 2,000 W |
| MW | 1,000,000 W | 0.5 MW = 500,000 W |
Examples
Example 1: Find peak power
You have an average RF power of 200 W and a duty cycle of 10%.
P_{peak} = \frac{200}{10/100} = 2000\text{ W}The peak power is 2,000 W, or 2 kW.
Example 2: Find average power
You have a peak RF power of 5 kW and a duty cycle of 20%.
P_{avg} = 5\text{ kW} * \frac{20}{100} = 1\text{ kW}The average power is 1 kW.
FAQ
What is the difference between average RF power and peak RF power?
Peak RF power is the power level during the active part of a pulse. Average RF power is the time-averaged power over the full pulse cycle, including both on time and off time. For pulsed RF signals, average power is lower than peak power unless the duty cycle is 100%.
Why does a lower duty cycle give a higher peak power?
For the same average power, a lower duty cycle means the RF signal is active for less time. To deliver the same average power in a shorter active period, the pulse must have a higher peak power.
Can duty cycle be zero?
No. A duty cycle of 0% means the signal is never on, so peak power cannot be calculated from average power using this relationship. The calculator requires a nonzero duty cycle when solving for peak power or average power.
