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RF Power Density Calculator

Calculate RF power density (W/m²), electric field strength (V/m), and magnetic field strength (A/m) from EIRP and distance. Useful for EMF exposure and safety analysis.

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Formula

S=EIRP4πd2,E=SηS = \frac{EIRP}{4\pi d^2}, \quad E = \sqrt{S \cdot \eta}
SPower density (W/m²)
EIRPEquivalent isotropically radiated power (W)
dDistance from antenna (m)
EElectric field strength (V/m)
ηFree-space wave impedance (~377Ω) (Ω)

How It Works

Radio Frequency (RF) Power Density is a measure of electromagnetic radiation power per unit area, which is critical in telecommunications, wireless engineering, and electromagnetic safety assessments. The power density calculation helps engineers and researchers evaluate potential radiation exposure and signal strength at various distances from a transmission source. The fundamental equation relates the Equivalent Isotropically Radiated Power (EIRP) to distance, revealing how electromagnetic energy disperses through space.

Worked Example

Problem: Calculate RF power density for a transmitter with 20W output power, 10 dBi gain, at 10 meters distance Solution: 1. Calculate EIRP: Pt = 20W (43 dBW), Gt = 10 dBi, EIRP = 53 dBW 2. Convert EIRP to watts: 10^(53/10) = 2000W 3. Calculate Power Density: S = 2000 / (4π * 10²) = 1.59 W/m² 4. Electric Field: E = √(1.59 * 120π) = 24.8 V/m 5. Magnetic Field: H = 24.8/377 = 0.066 A/m

Practical Tips

  • Always verify transmitter specifications for accurate EIRP
  • Consider environmental obstacles that might affect signal propagation
  • Use calibrated measurement equipment for precise RF power density assessment

Common Mistakes

  • Forgetting to convert decibel values to linear watts
  • Not accounting for antenna gain in power calculations
  • Neglecting the inverse square law of radiation spread

Frequently Asked Questions

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