Received Power Calculator for Electricity

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):

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1. What is Received Power in Electricity?

Definition: This calculator estimates the power received at a distance from a transmitter using the Friis transmission equation.

Purpose: It helps electrical engineers and radio communication professionals determine signal strength at a receiver.

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 based on transmitted power, antenna gains, wavelength, and distance.

3. Importance of Received Power Calculation

Details: Proper power estimation ensures reliable communication links, helps design appropriate receiver sensitivity, and verifies system performance.

4. Using the Calculator

Tips: Enter all parameters with appropriate units. Default gains are 1 (isotropic antennas). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical transmitter power values?
A: Ranges from milliwatts (WiFi) to kilowatts (radio/TV broadcasting).

Q2: How do I calculate wavelength?
A: λ = c/f, where c is speed of light (3×10⁸ m/s) and f is frequency in Hz.

Q3: What does gain of 1 mean?
A: It represents an isotropic antenna that radiates equally in all directions.

Q4: Does this account for real-world losses?
A: No, this is free-space path loss. Additional losses (atmosphere, obstacles) require extra factors.

Q5: What's a typical received power range?
A: From nanowatts (long-distance) to milliwatts (short-range), depending on application.