Question

Two small plastic spheres are given positive electric charges. When they are $15.0 \mathrm{~cm}$ apart, the repulsive force between them has magnitude $0.220 \mathrm{~N}$. What is the charge on each sphere (a) if the two charges are equal and (b) if one sphere has four times the charge of the other?

Name: Problem 9, Chapter 21: University Physics with Modern Physics
Uploaded: 2025-02-08T16:57:51-08:00
Duration: 1 min 11 s
Channel: Kratika Bhadauria
Description: Two small plastic spheres are given positive electric charges. When they are 15.0 cm apart, the repulsive force between them has magnitude 0.220 N. What is the charge on each sphere (a) if the two charges are equal and (b) if one sphere has four times the charge of the other?

   Two small plastic spheres are given positive electric charges. When they are $15.0 \mathrm{~cm}$ apart, the repulsive force between them has magnitude $0.220 \mathrm{~N}$. What is the charge on each sphere (a) if the two charges are equal and (b) if one sphere has four times the charge of the other?

University Physics with Modern Physics

Roger A. Freedman,… 15th Edition

Chapter 21, Problem 9

Instant Answer

Solved by Expert Kratika Bhadauria

02/08/2025

Step 1

This is given by Coulomb's law: F = k * |q1 * q2| / r^2 where F is the force between the objects, k is the electrostatic constant (k = 8.99 * 10^9 N m^2/C^2), q1 and q2 are the charges on the objects, and r is the distance between them. We are given F = 0.220 N Show more…

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Two small plastic spheres are given positive electric charges. When they are $15.0 \mathrm{~cm}$ apart, the repulsive force between them has magnitude $0.220 \mathrm{~N}$. What is the charge on each sphere (a) if the two charges are equal and (b) if one sphere has four times the charge of the other?

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Key Concepts

Coulomb's Law

Coulomb's Law describes the electrostatic force between two point charges. It states that the magnitude of the force is directly proportional to the product of the two charges and inversely proportional to the square of the distance between them. This law is fundamental for determining how charged objects interact and forms the basis for analyzing forces in electrostatic systems.

Electric Charge

Electric charge is a basic property of matter that causes it to experience a force when placed in an electromagnetic field. Charges come in positive and negative forms, and like charges repel each other while opposite charges attract. The quantity of charge determines the strength of these interactions, as seen in applications where varying charge magnitudes lead to changes in force according to Coulomb's Law.

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