__Received Power Calculator:__

__Received Power Calculator:__

Enter the values of gain of receiving antenna, G, transmitted power, P_{t(W)}, frequency of signal, f_{(Hz)} and distance from transmitter to receiver, d_{(m)} to determine the value of Received power, P_{r(W)}.

__Received Power Formula:__

__Received Power Formula:__

Received power, P_{r(W)} in watts is calculated by dividing the product of gain of receiving antenna, G, transmitted power, P_{t(W)} in watts by the product of square of frequency of signal, f_{(Hz)} in Hertz and square of distance from transmitter to receiver, d_{(m)} in metres.

Received power, P_{r(W)} = G * P_{t(W)} / f^{2}_{(Hz)} * d^{2}_{(m)}

P_{r(W)} = received power in watts, W.

G = gain of receiving antenna.

P_{t(W)} = transmitted power in watts, W.

f_{(Hz)} = frequency in Hertz, Hz.

d_{(m)} = distance in metres, m.

__Received Power Calculation:__

__Received Power Calculation:__

#### 1. Finding Received Power:

Given:

Transmitted power P_{t(W)} = 100 W

Gain G = 2

Frequency f_{(Hz)} = 300 MHz (300 * 10^{6} Hz)

Distance d_{(m)} = 10 m

Received power, P_{r(W)} = G * P_{t(W)} / f^{2}_{(Hz)} * d^{2}_{(m)}

P_{r(W)} = 2 * 100 / (300 * 10^{6} )^{2} * 10^{2}

P_{r(W)} = 200 / 9 * 10^{16} * 100

P_{r(W)} = 200 / 9 * 10^{18}

P_{r(W)} = 2.22 * 10^{-17}W.

#### 2. Finding Distance:

Given:

Received power P_{r(W)} = 0.001 W

Transmitted power P_{t(W)} = 50 W

Gain (G) = 1.5

Frequency f_{(Hz)} = 150 MHz (150 * 10^{6} Hz)

Received power, P_{r(W)} = G * P_{t(W)} / f^{2}_{(Hz)} * d^{2}_{(m)}

d_{(m)} = G * P_{t(W)} / f^{2}_{(Hz)} * P_{r(W)}

d_{(m)} = √(1.5 * 50 /(150 * 10^{6})^{2} * 0.001)

d_{(m)} = √(75 / 2.25 * 10^{16} * 0.001)

d_{(m)} = √(75 / 2.25 * 10^{13})

d_{(m)} = 1.45 * 10^{6}m.

__Reference Signal Received Power (RSRP) – Coverage:__

__Reference Signal Received Power (RSRP) – Coverage:__