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Manitude of the electric and magnetic fi...

Manitude of the electric and magnetic field in an electromagnetic wave radiated by a `200 W` bulb at a distance 2m from it is assuming efficiency of bulb is `5%` and it behaves like a point source.

Text Solution

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Effective power of the bulb `P = (5)/(100) xx 200= 10` watt
Intensity at distance r is given by
`l= (P)/(4 pi r^2)`
`= (10 )/(4 xx 3.14 xx 2^2 ) ("watt")/(m^2)`
`= (10)/(16xx 3.14) ("watt")/(m^2)`
`= 0.199 ("watt")/(m^2)`
`=0.2 ("watt")/(m^2)`
`l = (1)/(2) epsilon_(0) E_(0)^(2) c`
`E_(0)^(2) = (2l )/(c xx E_(0))`
`E_(0) = sqrt((2l)/(c xx epsilon_(0))`
`E_(0) sqrt((2xx 0.2)/(3 xx 10^(6) xx 8.85 xx 10^(-12))`
`E_0 = 12.27 (N)/(C )`
`B_(0) (E_0)/( C) = (12.27)/(3 xx 10^(8) ) = (12.27)/(3) xx 10^(-8) T`
`= 4.09 xx 10^(-6) T`
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