The RF Friis Path Loss Ratio & Link Budget Sizer evaluates three-variable wireless propagation ratios, geometric root factors, and link efficiency metrics.

### Operational Ratio Model & Equations The interface processes three primary RF link parameters: - **Calculated Path Loss Output**: $$\text{Result} = \frac{\text{Primary Transmission Factor} \times \text{Operating Coefficient}}{\max(0.01, \text{Safety Factor})}$$ - **Geometric Mean (Root Factor)**: $$\text{Root Factor} = \sqrt{\max(0, \text{Primary Transmission Factor} \times \text{Operating Coefficient})}$$ - **Propagation Efficiency Rating**: $$\text{Efficiency (\%)} = \min\left(100, \max\left(0, \frac{\text{Primary Transmission Factor}}{\text{Primary Transmission Factor} + \text{Operating Coefficient}} \times 100\right)\right)$$

### Worked Calculation Example Evaluating baseline wireless link parameters: - **Primary Dimension / Load**: 100 - **Operating Coefficient**: 20 - **Safety / Rate Factor**: 5 - **Evaluated Link Result**: $(100 \times 20) / 5 = 2000 / 5 = 400.00$ - **Geometric Mean (Root)**: $\sqrt{100 \times 20} = \sqrt{2000} \approx 44.72$ - **Path Efficiency Score**: $[100 / (100 + 20)] \times 100 = (100 / 120) \times 100 \approx 83.3\%$

### Scope & RF Link Budget Physics Note This utility implements an algebraic ratio estimator. In practical telecommunications engineering, free-space path loss across a line-of-sight distance $d$ at frequency $f$ follows Friis transmission physics: $$\text{FSPL (dB)} = 20\log_{10}(d) + 20\log_{10}(f) + 20\log_{10}\left(\frac{4\pi}{c}\right) - G_t - G_r$$ accounting for transmitter and receiver antenna gains ($G_t, G_r$).

### In-Browser Processing & Privacy Radio link calculations run entirely in your local browser runtime. No antenna coordinates, transmitter powers, or frequency plans are uploaded to any server.