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An oil droplet with 4 excess electrons is held stationary in a field of 1.9*104 N/C....

An oil droplet with 4 excess electrons is held stationary in a field of 1.9*104 N/C. What is the radius of the oil drop? (The density of the oil is 824 kg/m3 , e=1.60 * 10 -19 C.

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________________________________________

q : net charge on the drop

V volume of the drop

density of oil

: radius of drop

: mass of the drop

: acceleration due to gravity

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The net charge on the oil drop is 4x (charge on one electron)

The net electric force on the oil drop is thus

.

The net mass of the oil droplet is given by

The force due to gravity is thus

For the droplet to be in the equilibrium these two forces must be in opposite direction and equal in magnitude

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