dBm to RMS Voltage Calculator

Calculate RMS Voltage from dBm



Formula

The formula to calculate the RMS Voltage (Vrms) from dBm is:

\[ Vrms = \sqrt{\frac{Z}{1000}} \times 10^{\frac{dBm}{20}} \]

Where:

What is RMS Voltage?

RMS Voltage (Vrms) is the root mean square voltage, which is a measure of the effective value of a varying voltage. It is commonly used in electrical engineering to represent the equivalent DC voltage that would produce the same power dissipation in a resistive load.

Example Calculation

Let's assume the following values:

Using the formula to calculate the RMS Voltage (Vrms):

\[ Vrms = \sqrt{\frac{Z}{1000}} \times 10^{\frac{dBm}{20}} = \sqrt{\frac{50}{1000}} \times 10^{\frac{10}{20}} = \sqrt{0.05} \times 10^{0.5} \approx 0.71 \text{ volts} \]

The RMS Voltage (Vrms) is approximately 0.71 volts.