Enter the transmitted power (watts), the carrier frequency (Hz), antenna gain, and the propagation distance (m) into the calculator to determine the Received Power.

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## Received Power Formula

The following formula is used to calculate the Received Power.

Pr = G * Pt / (f^2*d^2)

- Where Pr is the Received Power (watts)
- G is the antenna gain
- Pt is the transmitted power (watts)
- f is the carrier frequency (Hz)
- d is the propagation distance (m)

To calculate a received power, multiply the antenna gain by the transmitted power, then divide by the product of the frequency squared times the propagation distance squared.

## How to Calculate Received Power?

The following example problems outline how to calculate Received Power.

**Example Problem #1**

- First, determine the transmitted power (watts). In this example, the transmitted power (watts) is determined to be 12 .
- Next, determine the carrier frequency (hz). For this problem, the carrier frequency (hz) is measured to be 50 .
- Next, determine the propagation distance (m). In this case, the propagation distance (m) is found to be 86.
- Next, determine the gain. In this case, the gain is 2:1 = 2
- Finally, calculate the Received Power using the formula above:

Pr = G * Pt / (f^2*d^2)

Inserting the values from above and solving yields:

Pr = 2 * 12 / (50^2*86^2) = .00000129 (watts)

**Example Problem #2**

Using the same method as above, determine the variables required by the formula. For this example problem, these are:

antenna gain = 5

transmitted power (watts) = 105

carrier frequency (hz) = 3

propagation distance (m) = 14

Enter these given values into the calculator or above yields:

Pr =5 * 105 / (3^2*14^2) =** ** .297(watts)