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If 10^9 electrons move out of a body to ...

If `10^9` electrons move out of a body to another body every second, how much time is required to get a total charge of 1 C on the other body? 

Text Solution

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In one second `10^9`  electrons move out of the body. The charge given out in one second is `1.6 xx 10^(-19) xx 10^(9)C = 10^(-10) C`.
The time required to accumulate a charge of 1 C can then be estimated to be
`t = 1 C div (1.6 xx 10^(-10) C//s) = 6.25 xx 10^(9)s` 
`= 6.25 xx 10^9 div (365 xx 24 xx 3600) ` years = 198 years. 
One coulomb is a very large unit for many practical purposes.
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