Received Power Calculator for Employees

Received Power Formula:

\[ P_r = P_t \times G_t \times G_r \times \left(\frac{\lambda}{4 \pi d}\right)^2 \]

Transmitted Power (P_t):

Watts (W)

Transmitter Gain (G_t):

Receiver Gain (G_r):

Wavelength (λ):

meters (m)

Distance (d):

meters (m)

Received Power (P_r):

Unit Converter ▲

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1. What is a Received Power Calculator?

Definition: This calculator estimates the received power in a wireless communication system using the Friis transmission equation.

Purpose: It helps engineers and technicians determine the signal strength at a receiver based on transmission parameters.

2. How Does the Calculator Work?

The calculator uses the Friis transmission equation:

\[ P_r = P_t \times G_t \times G_r \times \left(\frac{\lambda}{4 \pi d}\right)^2 \]

Where:

\( P_r \) — Received power (Watts)
\( P_t \) — Transmitted power (Watts)
\( G_t \) — Transmitter gain (dimensionless)
\( G_r \) — Receiver gain (dimensionless)
\( \lambda \) — Wavelength (meters)
\( d \) — Distance between antennas (meters)

Explanation: The equation calculates how much power is received given the transmission power, antenna gains, wavelength, and distance.

3. Importance of Received Power Calculation

Details: Accurate power calculations are essential for designing reliable wireless communication systems and determining coverage areas.

4. Using the Calculator

Tips: Enter all parameters in the specified units. Default gains are set to 1 (isotropic antennas). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for antenna gains?
A: Gains typically range from 1 (isotropic) to 10+ for directional antennas. Dipole antennas have about 1.64 gain.

Q2: How do I calculate wavelength?
A: Wavelength (λ) = speed of light (3×10⁸ m/s) / frequency (Hz). For example, 2.4 GHz → λ ≈ 0.125 m.

Q3: Does this account for real-world losses?
A: No, this is free-space path loss. Additional losses (atmospheric, multipath) would reduce received power further.

Q4: What's the significance of the (λ/4πd)² term?
A: This represents free-space path loss, showing how power decreases with distance and frequency.

Q5: Can I use dB values for gains and power?
A: You must convert dB values to linear scale first (G = 10^(dB/10) before using this calculator.