Enter the values of gain of receiving antenna, G, transmitted power, Pt(W), frequency of signal, f(Hz) and distance from transmitter to receiver, d(m) to determine the value of Received power, Pr(W).

 Enter Gain of Receiving Antenna: Enter Transmitted Power: W Enter Frequency: Hz Enter Distance: m Result – Received Power: m

Received power, Pr(W) in watts is calculated by dividing the product of gain of receiving antenna, G, transmitted power, Pt(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, Pr(W) = G * Pt(W) / f2(Hz) * d2(m)

Pr(W) = received power in watts, W.

G = gain of receiving antenna.

Pt(W) = transmitted power in watts, W.

f(Hz) = frequency in Hertz, Hz.

d(m) = distance in metres, m.

Given:

Transmitted power Pt(W) = 100 W

Gain G = 2

Frequency f(Hz) = 300 MHz (300 * 106 Hz)

Distance d(m) = 10 m

Received power, Pr(W) = G * Pt(W) / f2(Hz) * d2(m)

Pr(W) = 2 * 100 / (300 * 106 )2 * 102

Pr(W) = 200 / 9 * 1016 * 100

Pr(W) = 200 / 9 * 1018

Pr(W) = 2.22 * 10-17W.

#### 2. Finding Distance:

Given:

Received power Pr(W) = 0.001 W

Transmitted power Pt(W) = 50 W

Gain (G) = 1.5

Frequency f(Hz) = 150 MHz (150 * 106 Hz)

Received power, Pr(W) = G * Pt(W) / f2(Hz) * d2(m)

d(m) = G * Pt(W) / f2(Hz) * Pr(W)

d(m) = √(1.5 * 50 /(150 * 106)2 * 0.001)

d(m) = √(75 / 2.25 * 1016 * 0.001)

d(m) = √(75 / 2.25 * 1013)

d(m) = 1.45 * 106m.
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