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
the speed of light (signals)
= 299 792 458 m / s
= 299,792.458 km/s
To calculate the propagation delay caused by the transmission time alone, we first need to determine the time it takes for the signal to travel 10 km at a speed of 2 Mbps.
Step 1: Convert the distance from kilometers to meters:
10 km = 10,000 meters
Step 2: Calculate the time taken for the signal to travel the distance:
Propagation delay = Distance / Speed
Propagation delay = 10,000 meters / 2 Mbps
Step 3: Convert Mbps to bits per second:
1 Mbps = 1,000,000 bits per second
Step 4: Calculate the propagation delay in seconds:
Propagation delay = 10,000 meters / (2 Mbps * 1,000,000 bits/second)
Propagation delay = 10,000 meters / (2 * 1,000,000 bits/second)
Propagation delay = 10,000 meters / 2,000,000 bits/second
Propagation delay = 0.005 seconds
Step 5: Convert the answer to scientific notation with two decimal places:
Propagation delay = 5.00 x 10^(-3) seconds
Therefore, the propagation delay caused by the transmission time alone for a signal to travel 10 km is 5.00 x 10^(-3) seconds.