Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 4 (4 points) what does your force vs charge graph show about t…

Question

question 4 (4 points)
what does your force vs charge graph show about the relationship between the charge of the object and the force it experiences?
○ as charge increases, force decreases, but not by the same factor.
○ as charge increases, force decreases by the same factor.
○ as charge increases, force increases by the same factor.
○ as charge increases, force increases, but not by the same factor.

Explanation:

Brief Explanations

The relationship between electric force and charge is described by Coulomb's Law, which states $F = k\frac{q_1q_2}{r^2}$. For a fixed electric field (constant $k\frac{q_2}{r^2}$), force $F$ is directly proportional to charge $q_1$. This means if charge increases by a factor, force increases by the exact same factor, which is represented by a linear Force vs Charge graph.

Answer:

As charge increases, force increases by the same factor.