Final answer:
To calculate the power density in watts per square meter from a satellite source 22,000 miles from Earth, use the inverse square law and convert the distance from miles to meters. The power density is approximately 2.66 × 10^-14 Watts per square meter.
Step-by-step explanation:
To calculate the power density in watts per square meter from a satellite source 22,000 miles from Earth, we need to use the inverse square law and convert the distance from miles to meters. The formula for power density is:
Power Density = Power / Area
Given that the power from the satellite source is 10 Watts and the distance is 22,000 miles, we can convert the distance to meters by multiplying it by 1609.34 (1 mile = 1609.34 meters).
So, the distance from the satellite to Earth in meters is 35,405,760 meters.
Now, we can calculate the power density:
Power Density = 10 Watts / (4 * π * (35,405,760 meters)^2)
After calculating the value, we find that the power density from the satellite source is approximately 2.66 × 10^-14 Watts per square meter.