Solve Electrical Potential Homework: 24 kV, Droplet Mass 2.2 x 10^-13 kg

NZS92
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Homework Statement


A potential difference of 24 kV maintains a downward-directed electric field between two horizontal parallel plates separated by 1.8 cm. Find the charge on an oil droplet of mass 2.2 x 10^-13 kg that remains stationary in the field between the plates.

Homework Equations


PE=KE
qV=(1/2)mv^2

V=Ed

E=k(q/r^2)

The Attempt at a Solution


PE=KE
qV=(1/2)mv^2
q=((1/2)mv^2)/V

If velocity is zero, then "q" is zero. Since its stationary. (I think the only way to find velocity is PE=KE)
I'm stucked at here, any solutions?
 
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Consider the forces acting on the droplet.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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