Received Power Calculator For Pc

Friis Transmission Equation:

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

Transmitted Power (P_t):

Transmit Gain (G_t):

Receive Gain (G_r):

Wavelength (λ):

Distance (d):

Received Power (P_r):

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1. What is the Friis Transmission Equation?

The Friis transmission equation is a fundamental formula in telecommunications that calculates the power received by an antenna from another antenna some distance away, given the transmitted power, antenna gains, wavelength, and distance.

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:

\( P_t \) — Transmitted power (W)
\( G_t \) — Transmit antenna gain (dB)
\( G_r \) — Receive antenna gain (dB)
\( \lambda \) — Wavelength (m)
\( d \) — Distance between antennas (m)

Explanation: The equation accounts for free-space path loss and the gains of both transmitting and receiving antennas to determine the received power.

3. Importance of Received Power Calculation

Details: Calculating received power is crucial for wireless communication system design, link budget analysis, and determining signal strength at the receiver for proper system operation.

4. Using the Calculator

Tips: Enter transmitted power in watts, antenna gains in dB, wavelength in meters, and distance in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is free-space path loss?
A: Free-space path loss is the attenuation of radio energy between two antennas due to the spreading of the wavefront in free space, represented by \( \left( \frac{\lambda}{4 \pi d} \right)^2 \) in the equation.

Q2: How do I convert dB gains to linear scale?
A: Gain in linear scale = 10^(gain in dB/10). The calculator automatically performs this conversion.

Q3: What are typical values for antenna gains?
A: Isotropic antennas have 0 dBi gain, dipole antennas typically have 2.15 dBi, while directional antennas can have gains from 6 dBi to over 20 dBi.

Q4: Does this equation account for real-world obstacles?
A: No, the Friis equation assumes free space propagation without obstacles, reflections, or atmospheric effects. Real-world calculations require additional factors.

Q5: How does wavelength relate to frequency?
A: Wavelength (λ) = speed of light (c) / frequency (f), where c ≈ 3×10^8 m/s. For example, at 2.4 GHz, λ ≈ 0.125 m.