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Free-space path loss

Ideal path loss from frequency and distance.

HB3YAQ · Ajdin HadzicLearning to take awayhttps://hb3yaq.ch/en/tools/free-space
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THE CALCULATION

Formula & context

FSPL = 20 log₁₀(4πdf/c)

The formula describes geometric spreading between isotropic antennas in free space. It uses distance in metres and frequency in hertz.

A worked example

145 MHz over 10 km gives approximately 95.68 dB free-space path loss.

UNDERSTANDING THE MODEL

Assumptions & limits

Far-field model without terrain, buildings, ground reflection, atmosphere or ionosphere. It does not guarantee reception or coverage.

Building a radio link budgetUnderstand the reasoning →

From reading to experimenting

Free-space path loss

145 MHz over 10 km gives approximately 95.68 dB free-space path loss.

Open example with starting values →Frequency: 145 MHz · Distance: 10 kmBack to the learning article →

Then change exactly one value. Compare the result and use the formula to explain why it changes. The model limits below the calculator also apply here.