This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
here's how to solve question 4b: Step 1: List the given parameters and constants. • Transmitted power, P_t = 500 W • Antenna gain (each), G_dB = 70 dB • Signal frequency, f = 12 GHz = 12 × 10^9 Hz • Transmission path distance, d = 102 km = 102 × 10^3 m • Speed of light, c = 3 × 10^8 m/s Step 2: Calculate the wavelength (). The wavelength is given by the formula = (c)/(f). = 3 × 10^8 m/s12 × 10^9 Hz = 0.025 m Step 3: Convert the antenna gains from decibels (dB) to a linear ratio. The linear gain G is related to the dB gain G_dB by the formula G = 10^(G_dB/10). G_t = G_r = 10^(70/10) = 10^7 Step 4: Apply the Friis transmission equation to calculate the received power (P_r). The Friis transmission equation is given by: P_r = P_t · G_t · G_r · (()/(4 d))^2 Substitute the values: P_r = 500 W · (10^7) · (10^7) · (0.025 m4 · 102 × 10^3 m)^2 P_r = 500 · 10^14 · ((0.025)/(1282566.08))^2 P_r = 500 · 10^14 · (1.9492 × 10^-8)^2 P_r = 500 · 10^14 · (3.7994 × 10^-16) P_r = 1899.7 × 10^-2 W P_r = 18.997 W The power received is 19.00 W (rounded to two decimal places). Drop the next question!