The formula to calculate the RMS Voltage (Vrms) from dBm is:
\[ Vrms = \sqrt{\frac{Z}{1000}} \times 10^{\frac{dBm}{20}} \]
Where:
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.
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.