Question

Now it is your turn, with some simpler numbers. Your cell phone emits a signal between 0.5 and 3 watts. What is the intensity of a 1.0 watt signal at a distance of 2 meters? (this excludes Bluetooth & wifi)

π=3.14159 Keep 4 decimal places in your answer, do not use scientific notation for this answer.
I = Posurce/4πr² = 1.00 watts/ 4 x π x (2 metters)² = W/m²

Answer 1

The intensity of a 1.0 watt signal at a distance of 2 meters is calculated using the inverse square law formula, resulting in an intensity of 0.0199 W/m².

Step-by-step explanation:

To calculate the intensity of a 1.0 watt signal at a distance of 2 meters, we can use the formula I = Psource / (4πr²), where I is the intensity, Psource is the power of the source, and r is the distance from the source. Given Psource = 1.0 watt and r = 2 meters, we substitute these values into the equation as follows:

I = 1.0 watt / (4 × 3.14159 × (2 meters)²)

I = 1.0 watt / (4 × 3.14159 × 4 m²)

I = 1.0 watt / (50.26544 m²)

I = 0.0199 W/m²

Therefore, the intensity of a 1.0 watt signal at a distance of 2 meters is 0.0199 W/m², keeping four decimal places as requested.