Milliwatts to dBm Converter
Convert power from milliwatts (mW) to decibels-milliwatts (dBm).
Milliwatts (mW) to Decibels-milliwatts (dBm) Conversion
To convert milliwatts (mW) to decibels-milliwatts (dBm), you can use the following formula:
Conversion Formula ⚡
The formula becomes:
P(dBm) = 10 × log10(P(mW) / 1 mW)Where:
- P(dBm) = Power in decibels-milliwatts (dBm)
- P(mW) = Power in milliwatts (mW)
Key Insight:
This formula is essential for expressing power levels in a logarithmic scale, which is commonly used in telecommunications and audio engineering.
🤔 What Do These Terms Really Mean?
Let’s break down these electrical measurements in a way that’s easy to understand:
📊 Milliwatts (mW)
Milliwatts are a unit of power that represent one-thousandth of a watt:
- Scientific Definition: 1 mW = 0.001 W
- Real-world Example: A small LED light might consume around 20 mW of power.
- Common Usage: Used in low-power devices like sensors, LEDs, and small electronic components.
📈 Decibels-milliwatts (dBm)
dBm is a logarithmic unit used to express power levels relative to 1 milliwatt:
- Scientific Definition: 0 dBm is defined as 1 mW of power.
- Real-world Example: A Wi-Fi signal might be transmitted at 20 dBm, which corresponds to 100 mW.
- Common Usage: Widely used in telecommunications, radio, and audio engineering to express power levels.
🎯 Quick Memory Trick
Remember: dBm is a logarithmic scale, so every increase of 10 dBm represents a tenfold increase in power.
For example:
- 10 dBm = 10 mW
- 20 dBm = 100 mW
- 30 dBm = 1,000 mW (or 1 W)
Milliwatts (mW) to dBm Conversion
Formula: P(dBm) = 10 ⋅ log10(P(mW) / 1 mW)
Results:
Power: 0.00 dBm
Example Values
| Power (mW) | Power (dBm) |
|---|---|
| 0+ mW | -∞ dBm |
| 0.01 mW | -20 dBm |
| 0.1 mW | -10 dBm |
| 1 mW | 0 dBm |
| 2 mW | 3.0103 dBm |
| 3 mW | 4.7712 dBm |
| 4 mW | 6.0206 dBm |
| 5 mW | 6.9897 dBm |
| 6 mW | 7.7815 dBm |
| 7 mW | 8.4510 dBm |
| 8 mW | 9.0309 dBm |
| 9 mW | 9.5424 dBm |
| 10 mW | 10 dBm |
| 100 mW | 20 dBm |
| 1000 mW | 30 dBm |
| 10000 mW | 40 dBm |
| 100000 mW | 50 dBm |
| 1000000 mW | 60 dBm |
| 10000000 mW | 70 dBm |
| 100000000 mW | 80 dBm |
| 1000000000 mW | 90 dBm |
| 10000000000 mW | 100 dBm |
