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Free Space Path Loss Calculator

Calculators / Free Space Path Loss

Free Space Path Loss
Calculator

Calculate FSPL — the fundamental signal attenuation of a radio wave travelling through free space. Essential for RF communication link design, antenna system design, and wireless network planning. Uses the Friis transmission equation.

TX Pt = — d = — km FSPL = — dB RX Pr = — f = — GHz | λ = — cm
Distance 10.0 km
0.01 km100 km
TX FSPL RX

⚙ FSPL Engine

λ = — cm in free space

Free-space propagation distance

20 dBm = 100 mW

dB

Enter known FSPL when solving for d or f

dBi

0 dBi = isotropic, dipole = 2.15 dBi

dBi

0 dBi = isotropic antenna at receiver

Additional Losses

dB
dB
dBm

Used to calculate link margin

Calculated Results

Free Space Path Loss (FSPL) dB
Path loss severity
Received Power (Pr)
Link Margin
EIRP
Max Range

FSPL (dB)
Total path loss
Wavelength (λ)
Frequency (f)
Distance (d)
Link Status
Enter frequency and distance above to calculate.

📖 Theory

Free Space Path Loss is the attenuation of an RF signal as it spreads out from a transmitter in free space — with no obstructions, reflections, or absorption. It increases with both distance and frequency.

FSPL Formula (dB)

FSPL = 20·log(d_km) + 20·log(f_GHz) + 92.44

d in km, f in GHz. Classic telecom form.

Friis Form (linear)

FSPL = (4πd/λ)²
Pr = Pt·Gt·Gr·(λ/4πd)²

Key Rules

Double distance → +6 dB FSPL
Double frequency → +6 dB FSPL
×10 distance → +20 dB FSPL
×10 frequency → +20 dB FSPL

📊 FSPL Visualiser

Live Charts | ◉ FSPL vs Distance & vs Frequency
Chart
Frequency 2.4 GHz
0.130 GHz
Max Dist 100 km
FSPL (dB) vs Distance Distance (km) → FSPL (dB)
Link Design Insights

Enter frequency and distance to see path loss insights.


Common Applications

🔗

RF Communication Links

Calculate path loss for any point-to-point radio link — cellular, microwave backhaul, ISM band, and licensed bands.

📡

Antenna System Design

Determine required antenna gain, transmit power, and receiver sensitivity to close a radio link over a given distance.

📶

Wireless Network Planning

WiFi cell sizing, LoRa range estimation, and 5G coverage planning all start with free-space path loss as the baseline.

🛰️

Satellite Links

GPS, LEO, and GEO satellite link budgets. Free-space path loss dominates over thousands of kilometres in space.

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