RF Power Density Calculator

Radio Frequency Radiation Density Estimator

Input Fields

Transmitter Power

P

W

Output power of the RF transmitter

Antenna Gain

G

dBi

Gain of the antenna in dBi

Distance

R

m

Distance from the antenna

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Your Results

Power Density

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RF Power Density Formula

$$S = \frac{P_t \cdot G}{4 \pi r^2}$$

Where:

• $$S$$ = power density (W/m²)
• $$P_t$$ = transmitted power (W)
• $$G$$ = antenna gain (unitless, linear scale)
• $$r$$ = distance from antenna (m)

This formula assumes free-space conditions and calculates the radiated power per square meter at a given distance.

Real and Reactive Power – Calculation Example

Given:

• $$P_t$$ = 10 W
• $$G$$ = 6 (linear, not in dBi)
• $$r$$ = 2 m

Calculation:

1. $$S = \frac{10 \cdot 6}{4 \cdot \pi \cdot 2^2} = \frac{60}{50.265} ≈ 1.19~\text{W/m}^2$$

RF power density calculations are essential in wireless communication, antenna placement, and electromagnetic exposure safety. Whether working with cellular towers, satellite systems, or RF heating equipment, understanding power density helps optimize performance while maintaining regulatory compliance (e.g., FCC, ICNIRP, OSHA). This tool assumes ideal conditions and is suitable for far-field approximations.