   Chapter 15, Problem 7P

Chapter
Section
Textbook Problem

Two uncharged spheres are separated by 2.00 in. If 3.50 × 1012 electrons are removed from one sphere and placed on the other, determine the magnitude of the Coulomb force on one of the spheres, treating the spheres as point charges.

To determine
The magnitude of Coulomb force.

Explanation

Given info: Number of electrons removed from the sphere is 3.50×1012 . The distance of separation (r) between the uncharged spheres is 2.00 m.

Formula to calculate the charge of the spheres is,

|q|=Ne (I)

• N is the number of electrons removed.
• e is the elementary charge.

From Coulomb’s Law,

F=ke|q1||q2|r2 (II)

• ke is the Coulomb constant.
• q1 and q2 are the charge on the spheres.
• r is the distance of separation.

Substitute Equation (I) in (II).

F=keN2e2r2

Substitute 8.99×109N.m2/C2 for ke , 3

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