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100 dBm in Watts

dBm to Watts Conversion:

\[ W = 10^{(\frac{dBm - 30}{10})} \]

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1. What is dBm to Watts Conversion?

dBm (decibel-milliwatts) is a logarithmic unit of power relative to 1 milliwatt. Converting dBm to watts provides the absolute power value in watts, which is often needed for engineering calculations and equipment specifications.

2. How Does the Conversion Work?

The conversion uses the formula:

\[ W = 10^{(\frac{dBm - 30}{10})} \]

Where:

Explanation: The formula converts from logarithmic scale (dBm) to linear scale (watts). The -30 in the formula accounts for converting from milliwatts (1/1000 of a watt) to watts.

3. Practical Applications

Details: This conversion is essential in RF engineering, telecommunications, and any field dealing with power measurements. It helps compare signal strengths and power levels across different systems.

4. Using the Calculator

Tips: Enter the dBm value you want to convert. The calculator will provide the equivalent power in watts. Default value is 100 dBm (10,000,000 watts).

5. Frequently Asked Questions (FAQ)

Q1: Why is 100 dBm equal to 10,000,000 watts?
A: Because dBm is logarithmic, each 10 dB increase represents a 10x power increase. 100 dBm is 10^10 times 1 mW (0.001 W), which equals 10,000,000 W.

Q2: What are typical dBm values in telecommunications?
A: Common values range from -120 dBm (very weak signals) to +50 dBm (powerful transmitters). 100 dBm is an extremely high power level.

Q3: How precise is this conversion?
A: The conversion is mathematically exact. Any imprecision would come from measurement errors in the original dBm value.

Q4: Can I convert watts back to dBm?
A: Yes, using the inverse formula: \( dBm = 10 \times \log_{10}(W) + 30 \).

Q5: Why use dBm instead of watts?
A: dBm is useful for expressing very large or small power values conveniently and for calculations involving gains/losses in systems.

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