(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A cloud of electrons are drifting from a negative plate to a positive plate after being liberated by a laser pulse, (separated by a distance z = 10cm with an original potential difference of 15V) at an instant in time the centre of the cloud has traveled 25mm from the negative plate and the spatial distribution of the charge is described by a Gaussian distribution with a standard deviation of 1.0mm.

Calculate the the change in electric field across the electron cloud if the electron cloud consists of 12 X 10^{9}electrons.

2. Relevant equations

The tutor said that Gauss' law, in one form or another must be used in the solution.

After some further reading I discovered the equation for the cylindrical gaussian surface of;

Flux = [itex]\oint[/itex] E dA

= E [itex]\oint[/itex] da

= E * 2[itex]\pi[/itex]rh

Flux also equals q/[itex]\epsilon[/itex]

Therefore

E = s / 2[itex]\pi[/itex][itex]\epsilon[/itex]r

3. The attempt at a solution

I have not really found a reasonable numerical solution yet, which has led me to believe that the problem lies with my derivation of E or my understanding of what E means in the context of the question.

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# Homework Help: Electron Cloud described by a Gaussian distribution

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