Das dBm to Peak Voltage Calculator wird zum Konvertieren verwendet Werkzeuge levels (measured in dBm) into peak voltage (Vp) based on circuit impedance. Since dBm represents power logarithmically, this tool helps calculate voltage values in RF engineering, signal processing, and electrical circuit design.
This calculator is useful in:
- RF and telecommunications – Understanding signal voltage levels
- Audio and signal processing – Measuring voltage fluctuations in circuits
- Elektrotechnik – Converting power into voltage for better system analysis
- Oscilloscope analysis – Interpreting voltage waveforms from power values
By using this tool, engineers and technicians können. quickly and accurately convert dBm values into peak voltage Messungen für verschiedene Anwendungen.
Formula for Dbm To Peak Voltage Calculator
Da dBm (decibels-milliwatts) represents power, and voltage depends on power and resistance, follow these steps:
Step 1: Convert dBm to Power (Watts)
Power (W) is calculated using:
Power (W) = 10^((dBm – 30) / 10)
Kennzahlen:
- dBm = Power level in decibels relative to 1 Milliwatt (mW)
- 10^((dBm – 30) / 10) converts dBm into Watts
Step 2: Convert Power to RMS Voltage
Die richtigen Ohm'sches Gesetz, RMS voltage is:
V_rms = √(Power × Resistance)
Kennzahlen:
- Leistung (W) = Value obtained from Step 1
- Widerstand (Ω) = Circuit impedance (typically 50Ω in RF systems)
Step 3: Convert RMS Voltage to Peak Voltage
Since RMS voltage is related to peak voltage by:
V_peak = V_rms × √2
Thus, the final formula for dBm to Peak Voltage ist:
V_peak = √(Power × Resistance) × √2
Reference Table – dBm to Peak Voltage Conversions
For ease of reference, here’s a table showing peak voltage values for common dBm levels at 50Ω Impedanz:
Leistung (dBm) | Leistung (W) | RMS Voltage (V) | Peak Voltage (V) |
---|---|---|---|
10-dBm | 0.0001 W | 0.071 V | 0.10 V |
0 dBm | 0.001 W | 0.224 V | 0.32 V |
10 dBm | 0.01 W | 0.707 V | 1.00 V |
20 dBm | 0.1 W | 2.24 V | 3.16 V |
30 dBm | 1 W | 7.07 V | 10.00 V |
40 dBm | 10 W | 22.4 V | 31.6 V |
50 dBm | 100 W | 70.7 V | 100.0 V |
This table is particularly useful for RF engineers, circuit designers, and audio professionals who frequently need quick voltage conversions from dBm values.
Example of Dbm To Peak Voltage Calculator
1. Convert 20 dBm to Peak Voltage with 50Ω Resistance
Step 1: Convert dBm to Power
Power (W) = 10^((20 – 30) / 10)
Power (W) = 10^(-1) = 0.1 W
Step 2: Calculate RMS Voltage
V_rms = √(Power × Resistance)
V_rms = √(0.1 W × 50Ω) = 2.24 V
Step 3: Calculate Peak Voltage
V_peak = V_rms × √2
V_peak = 2.24 V × 1.414 = 3.16 V
Somit 20 dBm results in a peak voltage of 3.16V in a 50Ω system.
2. Convert 40 dBm to Peak Voltage with 75Ω Resistance
Power (W) = 10^((40 – 30) / 10) = 10 W
V_rms = √(10 W × 75Ω) = 27.39 V
V_peak = 27.39 × 1.414 ≈ 38.75 V
Dies bedeutet, 40 dBm corresponds to 38.75V peak voltage in a 75Ω circuit.
Die häufigsten FAQs
dBm is used because it simplifies large power differences into manageable logarithmic values. Instead of dealing with large numbers like 0.0001 W oder 100 W., we can express them in -10 dBm and 50 dBm, Bzw.
Yes! Simply adjust the resistance value (Ω) in the formula to match your specific circuit impedance. Common values include 50Ω (RF circuits), 75Ω (coaxial cables), and 600Ω (audio systems).
A higher impedance results in higher voltage values for the same power level. This is because voltage is proportional to the Quadratwurzel der Impedanz.