Final answer:
To find the distance from the antenna where the electric field amplitude is 2.0×10−3V/m, use the inverse square law for electric fields. The inverse square law states that the intensity of the electric field is inversely proportional to the square of the distance from the source. Using the given values, we can calculate that the distance from the antenna is approximately 193.65 meters.
Step-by-step explanation:
To find the distance from the antenna at which the electric field amplitude is 2.0×10-3 V/m, we need to use the inverse square law for electric fields. The inverse square law states that the intensity of the electric field is inversely proportional to the square of the distance from the source.
We can use the formula:
Electric Field Amplitude = (Electric Field at Reference Distance) / (Distance from Antenna)2
Plugging in the given values, we get:
2.0×10-3 V/m = (7.50 μV/m) / (Distance from Antenna)2
Solving for the Distance from Antenna, we find:
Distance from Antenna = √((7.50 μV/m) / (2.0×10-3 V/m))
Distance from Antenna ≈ 193.65 meters
Therefore, the electric field amplitude of 2.0×10-3 V/m is achieved at a distance of approximately 193.65 meters from the antenna.