Enter the transmitter gain, receiver gain, wavelength, and distance into the calculator to determine the power received using the Friis Transmission Equation.
Friis Transmission Equation
The Friis Transmission Equation is used to calculate the power received by an antenna from another antenna that is some distance away. The formula takes into account the gains of the transmitting and receiving antennas, the wavelength of the signal, and the distance between the antennas.
Pr = frac{Gt cdot Gr cdot lambda^2}{(4 cdot pi cdot d)^2}
Variables:
- Pr is the power received (watts)
- Gt is the transmitter gain
- Gr is the receiver gain
- λ is the wavelength of the signal (meters)
- d is the distance between the antennas (meters)
To calculate the power received, input the transmitter gain, receiver gain, wavelength, and distance into the formula. The result will give you the power received by the receiving antenna in watts.
What is the Friis Transmission Equation?
The Friis Transmission Equation is a fundamental formula in the field of wireless communications. It describes the power transfer between two antennas in free space. This equation is particularly important for understanding and designing wireless communication systems, such as satellite links, radio broadcasting, and mobile networks.
How to Calculate Power Received?
The following steps outline how to calculate the power received using the Friis Transmission Equation.
- First, determine the transmitter gain (Gt).
- Next, determine the receiver gain (Gr).
- Next, determine the wavelength of the signal (λ) in meters.
- Next, determine the distance between the antennas (d) in meters.
- Finally, calculate the power received (Pr) in watts using the Friis Transmission Equation.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Transmitter Gain (Gt) = 2
Receiver Gain (Gr) = 3
Wavelength (λ) = 0.5 meters
Distance (d) = 100 meters
