Current implementations of the ‘WiMAX’ wireless technology can support 2 Mbps connections at a distance of 10 km; calculate the propagation delay caused by the transmission time alone for a signal to travel 10 km.). Give your answer in seconds and in scientific notation accurate to 2 decimal places.
c = about 3*10^8 meters/second
10 km = 10^4 meters
delay time = distance/speed = 10^4/(3*10^8)
= (1/3)*10^-4 = 0.000033 seconds
= 0.333*10^-4 = 3.33 *10^-5 seconds
To calculate the propagation delay caused by the transmission time alone, we need to determine the time it takes for a signal to travel a distance of 10 km at a speed of 2 Mbps.
First, we need to convert the speed from Mbps to meters per second (m/s):
2 Mbps = 2 * 10^6 bits per second (since 1 Mbps = 10^6 bits per second)
= 2 * 10^6 / 8 bytes per second (since 1 byte = 8 bits)
= 250,000 bytes per second
Next, we need to calculate the time it takes for a signal to travel 10 km with a speed of 250,000 bytes per second:
Distance = 10 km = 10,000 meters
Speed = 250,000 bytes per second
Time = Distance / Speed
= 10,000 meters / 250,000 bytes per second
= 0.04 seconds
Finally, we need to express the propagation delay in scientific notation accurate to 2 decimal places:
Propagation Delay = 0.04 seconds
= 4 x 10^-2 seconds (scientific notation)
Therefore, the propagation delay caused by transmission time alone for a signal to travel 10 km in WiMAX wireless technology is 4 x 10^-2 seconds.