What is the strength of an electric field that will balance the weight of a 1.0 g plastic sphere that has been charged to −3.0nc?

Explanation:

In order to balance the weight of the sphere, the electric force must be equal in magnitude to the weight of the sphere:

where

is the charge of the sphere (we can ignore the sign, since we are only interested in the magnitude of the force

E is the strength of the electric field

m = 1.0 g = 0.001 kg is the mass of the sphere

g = 9.81 m/s^2 is the gravitational acceleration

Solving the equation for E, we find the strength of the electric field:

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