How does increasing the amount of charge on an object affect the electric force it exerts on another charged object?

A. The electric force increases because the amount of charge has an indirect relationship to the force.
B. The electric force increases because the amount of charge has a direct relationship to the force.
C. The electric force decreases because the amount of charge has an indirect relationship to the force.
D. The electric force decreases because the amount of charge has a direct relationship to the force.

The electric force between charged objects is described by Coulomb's Law: F = k r 2 q 1 ​ q 2 ​ ​ .
The electric force (F) is directly proportional to the charges (q1 and q2).
Increasing the amount of charge on an object increases the electric force it exerts on another charged object.
The electric force increases because the amount of charge has a direct relationship to the force. The electric force increases because the amount of charge has a direct relationship to the force. ​

Explanation

Understanding the Problem Let's analyze the problem. We are asked to determine how increasing the amount of charge on an object affects the electric force it exerts on another charged object. To solve this, we need to recall Coulomb's Law, which describes the relationship between electric force, charge, and distance.

Recalling Coulomb's Law Coulomb's Law states that the electric force (F) between two charged objects is directly proportional to the product of the magnitudes of the charges (q1 and q2) and inversely proportional to the square of the distance (r) between them. Mathematically, it is expressed as: F = k r 2 q 1 ​ q 2 ​ ​ where k is Coulomb's constant.

Analyzing the Relationship From Coulomb's Law, we can see that if we increase the amount of charge on one of the objects (either q1 or q2), the electric force (F) will also increase, assuming the distance (r) remains constant. This is because the force is directly proportional to the charges.

Determining the Effect Therefore, the electric force increases because the amount of charge has a direct relationship to the force.

Final Answer The correct answer is: The electric force increases because the amount of charge has a direct relationship to the force.


Examples
Understanding how electric charge affects force is crucial in many real-world applications. For instance, in electrostatic painting, charged paint particles are attracted to a grounded metal object. Increasing the charge on the paint particles enhances the attractive force, leading to a more uniform and efficient coating. Similarly, in inkjet printers, charged ink droplets are directed by electric fields to create precise images on paper. By controlling the charge on the droplets, the printer can accurately position them, resulting in high-resolution prints. These examples demonstrate how manipulating electric charge and force can be used to achieve specific outcomes in various technologies.

Answered by GinnyAnswer | 2025-07-03

Increasing the amount of charge on an object results in a greater electric force exerted on another charged object due to a direct relationship outlined in Coulomb's Law. Therefore, the correct answer is option B. The electric force increases because the amount of charge has a direct relationship to the force.
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Answered by Anonymous | 2025-07-04