Enter the impedance (ohms) and the dBm into the calculator to determine the RMS Voltage from dBm.
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RMS Voltage from dBm Formula
The following formula is used to calculate the RMS Voltage from dBm.
Vrms = SQRT( Z/1000) * 10 ^ (dBm/20)
Variables:
- Where Vrms is the RMS Voltage from dBm (volts)
- Z is the impedance (ohms)
- dBm is the dBm
How to Calculate RMS Voltage from dBm?
The following two example problems outline how to calculate the RMS Voltage from dBm.
Example Problem #1:
- First, determine the impedance (ohms). In this example, the impedance (ohms) is measured to be 5000.
- Next, determine the dBm. For this problem, the dBm is calculated to be 30.
- Finally, calculate the RMS Voltage from dBm using the formula above:
Vrms = SQRT( Z/1000) * 10 ^ (dBm/20)
Inserting the values from above and solving the equation with the imputed values gives:
Vrms = SQRT( 5000/1000) * 10 ^ (30/20) = 70.71 (volts)
Example Problem #2:
Using the same process as example problem 1, we first define the variables outlined by the formula. In this case, the values are:
impedance (ohms) = 6000
dBm = 20
Entering these values into the formula or calculator above gives us::
Vrms = SQRT( 6000/1000) * 10 ^ (20/20) = 24.494 (volts)
