Question

Two particles with charges $Q$ and 2$Q$ repel one another. How does the electric force acting on the particle with charge $Q$ compare with the force acting on the particle with charge 2$Q ?$ (A) The force on charge $Q$ is 1$/ 4$ th of the force acting on charge 2$Q$ . (B) The force on charge $Q$ is 1$/ 2$ of the force on charge 2$Q$ . (C) The force on charge $Q$ is the same as the force on charge 2$Q$ . (D) The force on charge Q is twice as large as the force on charge 2$Q$ . (E) The force on charge $Q$ is four times larger than the force on charge 2$Q$ .

Name: Problem 5, Chapter 10: Physics SAT Subject Test
Uploaded: 2020-12-17T06:29:11-08:00
Duration: 2 min 9 s
Channel: Hariprasad Annamalai

   Two particles with charges $Q$ and 2$Q$ repel one another. How does the electric force acting on the particle with charge $Q$ compare with the force acting on the particle with charge 2$Q ?$
(A) The force on charge $Q$ is 1$/ 4$ th of the force acting on charge 2$Q$ .
(B) The force on charge $Q$ is 1$/ 2$ of the force on charge 2$Q$ .
(C) The force on charge $Q$ is the same as the force on charge 2$Q$ .
(D) The force on charge Q is twice as large as the force on charge 2$Q$ .
(E) The force on charge $Q$ is four times larger than the force on charge 2$Q$ .

Physics SAT Subject Test

Robert Jansen, Greg… 2nd Edition

Chapter 10, Problem 5

Instant Answer

Solved by Expert Hariprasad Annamalai

12/17/2020

Step 1

We can assume that both of these have positive charges. We will use Coulomb's law to find the forces on these particles. Coulomb's law states that the force between two charges is directly proportional to the product of their charges and inversely proportional to Show more…

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Two particles with charges $Q$ and 2$Q$ repel one another. How does the electric force acting on the particle with charge $Q$ compare with the force acting on the particle with charge 2$Q ?$ (A) The force on charge $Q$ is 1$/ 4$ th of the force acting on charge 2$Q$ . (B) The force on charge $Q$ is 1$/ 2$ of the force on charge 2$Q$ . (C) The force on charge $Q$ is the same as the force on charge 2$Q$ . (D) The force on charge Q is twice as large as the force on charge 2$Q$ . (E) The force on charge $Q$ is four times larger than the force on charge 2$Q$ .

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Key Concepts

Newton's Third Law of Motion

Newton's Third Law states that every action has an equal and opposite reaction. In the context of electrostatics, this means that for two interacting charges, the force that one charge exerts on the other is equal in magnitude and opposite in direction. This key concept explains why the force acting on a charge in an interaction is the same as the force acting on the other charge, regardless of their individual charge magnitudes.

Coulomb's Law

Coulomb's Law states that the magnitude of the electric force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. This principle is foundational for understanding how charges interact, and it shows that while the product of the charges matters, the force experienced by each charge is determined by the same interaction between the two charges.

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