Received Power Calculator for PC

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 ▲

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 power level at the receiver for wireless system design and analysis.

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

Explanation: The equation calculates how much power is received based on transmitted power, antenna gains, wavelength, and distance.

3. Importance of Received Power Calculation

Details: Accurate received power estimation is crucial for designing reliable wireless communication systems and determining signal coverage.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is typical transmitter gain?
A: Typical values range from 1 (isotropic) to 10-100 for directional antennas (in linear scale, not dB).

Q2: How do I convert frequency to wavelength?
A: Use \( \lambda = \frac{c}{f} \), where c is speed of light (3×10⁸ m/s) and f is frequency in Hz.

Q3: What affects received power most?
A: Distance has the greatest impact due to the inverse square law in the equation.

Q4: Is this calculator valid for all distances?
A: It's valid for far-field conditions (d > \( \frac{2D^2}{\lambda} \), where D is antenna size).

Q5: How do I convert between dB and linear scale?
A: For gain: \( G_{linear} = 10^{(G_{dB}/10)} \). For power: \( P_{W} = 10^{(P_{dBm}/10)} \times 0.001 \).