The work done in bringing two electrons from a distance of 2m to 1m in air,
where e in electronic charge and k is electrostatic force constant.
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Given: Two electrons are brought from a distance of 2 m to 1 m in air
To find: The work done in bringing the charges closer
Explanation: d= 2m - 1 m = 1 m
Force exerted by an electron on the other:
F = k q^2/d^2 where q is the charge of electron, k is a constant whose value is 9* 10^9 and d is the distance between the charges
Charge of electron= 1.6* 10^-19 C
F = 9* 10^9 * (1.6*10^-19)^2 / 1^2
= 9* 10^9* 2.56* 10^-38 /1
= 23.04* 10^ -29 N
Therefore, work done= Force * distance
= 23.04* 10^-29* 1
= 2.3* 10^-28 J
Therefore, the work done in bringing 2 electrons from 2 m to 1 m is 2.3* 10^-28 J.
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