Chapter 22: Q. 30 - Excercises And Problems (page 625)

What are the strength and direction of an electric field that will balance the weight of a 1.0 g plastic sphere that has been charged to -3.0 nC?

Short Answer

Expert verified

The electric field that will balance the weight is3.27×106V/m

Step by step solution

01

Given information

mass of the sphere m=1g=0.001kg

charge of the sphereq=-3.0×10-9C

02

Explanation

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

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

E=mgq=(0.001kg)9.81m/s23.0×109C=3.27×106V/m

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