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25 December, 00:31

Suppose the maximum safe average intensity of microwaves for human exposure is taken to be 2.50 W/m2. If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an average intensity considered to be safe

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  1. 25 December, 00:53
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    Since the surface area of the sphere of radius 'r' is given by 4πr² the intensity of microwaves at distance 'r' can be determine by using

    I (r) = P/S

    Where

    P is power and it is given as P = 10W

    'S is the surface area S=4πr²

    I is intensity and it is given as

    I = 2.5W/m²

    Then,

    I = P/S

    I = P/4πr²

    Ir² = P/4π

    r² = P/4Iπ

    r = √ (P/4Iπ)

    r = √ (10/4π*2.5)

    r = √0.3183

    r = 0.564m

    You must be 0.564m far away for safety against been exposed to radiation.
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