Electric potential difference question

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SUMMARY

The discussion centers on calculating the electric potential difference required to hold an oil droplet motionless between two parallel plates. The droplet, with a mass of 4.9 x 10^-17 kg and carrying two electronic charges, requires a specific potential difference to counteract the gravitational force acting on it. The formula delta V = -int[E*dl] is confirmed as the appropriate method for determining the potential difference, with the mass of the droplet being crucial for calculating the necessary electric field strength.

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jaejoon89
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Two parallel horizontal plates are 0.4 cm apart in air. An oil droplet of m = 4.9*10^-17 kg is introduced between the plates. If the drop has 2 electronic charges and if there is no air buoyancy, you can hold the droplet motionless between the plates if you keep the potential difference between them at...?



Do I use delta V = -int[E*dl] from a to b? How would I incorporate the mass?
 
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For your first question, yes, that is the definition of electric potential.

For your second question, the mass determines how much weight the electric field has to counteract.
 

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