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The earth's surface has a negative surfa...

The earth's surface has a negative surface charge density of `10^-9C.m^-2`. The potential difference of 400kV between the top of the atmosphere and the surface results (due to the low conductivity of the lower atmosphere) in a current of only 1800 A over the entire globe. If there wre no mechanism of sustaining atmospheric,electric field, how much time (roughly) would be required to neutralise earth's surface? [Radius of earth =`6.37 times 10^6m`]

Text Solution

Verified by Experts

Surface area of earth =`4pitimes(6.37times10^6)^2m^2`
Total change on the surface of earth
=area `times` surface density of charge
`4pitimes(6.37times10^6)times10^-9C`
`therefore` Time taken for discharge , `t=Q/l`
`thereforet=(4pitimes6.37times6.37times10^3)/1800=283s`
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