Received Power Calculator Based On

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 based on the Friis transmission equation.

Purpose: It helps engineers and technicians determine the signal strength at a receiver given various 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 the power received by an antenna from another antenna some distance away, accounting for gains and free space path loss.

3. Importance of Received Power Calculation

Details: Accurate received power estimation is crucial for designing reliable wireless communication systems, determining coverage areas, and troubleshooting signal strength issues.

4. Using the Calculator

Tips: Enter all parameters in the specified units. For antenna gains, use linear values (not dB). Wavelength can be calculated as \( \lambda = c/f \) where c is speed of light and f is frequency.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert dB gains to linear values?
A: Linear gain = 10^(dB value/10). For example, 3 dB gain = 10^(3/10) ≈ 2.

Q2: What's a typical transmitter power?
A: This varies widely - from milliwatts in WiFi to kilowatts in broadcast transmitters.

Q3: Does this account for real-world losses?
A: No, this is ideal free-space path loss. Real systems have additional losses from obstacles, multipath, etc.

Q4: How does wavelength affect received power?
A: Higher frequencies (shorter wavelengths) experience greater path loss for the same distance.

Q5: What if my distance is in kilometers?
A: Convert to meters before calculation (1 km = 1000 m).