Final answer:
To ensure safe human exposure to microwaves from a radar unit, the distance at which the intensity drops to 1.00 W/m² must be calculated. Using the formula for intensity related to distance from a point source, the required safe distance is determined, and the related maximum electric field strength at this distance can be calculated using the relationship between intensity and electric field strength in an electromagnetic wave.
Step-by-step explanation:
The question pertains to the safe exposure levels of microwaves from radar units and their intensity and electric field strength at a certain distance. The maximum safe intensity of microwaves for human exposure is considered to be 1.00 W/m². For a radar unit that leaks 10.0 W of microwaves, the distance required to achieve this safe intensity can be determined by assuming that the leaked power is distributed uniformly across the surface of a sphere.
To find the required distance, we apply the formula for the intensity of a wave at a distance from a point source, which is I = P / (4πr²), where I is the intensity, P is the power, and r is the radius of the sphere. Solving for r when setting I to 1.00 W/m² and P to 10.0 W will give us the safe distance. The maximum electric field strength at the safe intensity can then be calculated using the relationship between intensity and electric field strength in an electromagnetic wave, I = (1/2)ε₀cE², where ε₀ is the permittivity of free space, c is the speed of light, and E is the electric field strength.