Antenna dBi Range Calculator

Calculate Range for Given Transmitter Power and Antenna Gain



Formula

The formula to calculate the Range (R) is:

\[ P_t = 10^{\left(\frac{G}{10}\right)} \cdot R^2 \]

Where:

Antenna Gain Definition

Antenna gain, measured in dBi (decibels relative to an isotropic radiator), is a measure of how well an antenna converts input power into radio waves in a specific direction. Higher gain indicates a more focused beam, which can extend the range and improve the quality of the signal. Antenna gain is a critical parameter in designing communication systems, as it affects the overall performance and efficiency of the antenna.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Range (R):

\[ R = \sqrt{\frac{100}{10^{\left(\frac{15}{10}\right)}}} \approx 1.7783 \]

The Range (R) is approximately 1.7783 kilometers.