Formula for dBm to Vrms conversion
The conversion from dBm to Vrms uses the relationship between power and voltage across a known characteristic impedance.
P(W) = 10^(dBm/10) / 1000
Vrms = √(P × R)
Formula Explanation
The first step converts the power from dBm to watts using the formula P(W) = 10^(dBm/10) / 1000. The second step calculates the root-mean-square voltage (Vrms) by taking the square root of the product of the power in watts and the characteristic impedance (R). This method ensures accurate conversion for RF and electronic measurements.
Uses of dBm to Vrms conversion calculator
- Quickly converting RF signal levels from dBm to voltage measurements in Vrms.
- Designing and testing circuits with known impedance values.
- Verifying signal levels for communication systems and transmitters.
- Educational purposes to understand the relationship between power and voltage.
Formula Example
Given: dBm = 10 dBm, Characteristic Impedance R = 50 Ω
Step 1: Convert dBm to watts: P = 10^(10/10)/1000 = 0.01 W
Step 2: Calculate Vrms: Vrms = √(0.01 × 50) ≈ 0.7071 V
This means a 10 dBm signal across 50 Ω corresponds to approximately 0.7071 Vrms.