Question
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Question 11
How does changing the distance influence the force between the two charges?
As the distance __________, the absolute value of the force ___________.
a
increases; increases
b
increases; decreases
c
increases; does not change
d
decreases; does not change
Question 11
How does changing the distance influence the force between the two charges?
As the distance __________, the absolute value of the force ___________.
a
increases; increases
b
increases; decreases
c
increases; does not change
d
decreases; does not change
Answers
GPT-4o mini
To understand how changing the distance between two charges influences the force between them, we can refer to Coulomb's Law. This law states that the force \( F \) between two point charges is inversely proportional to the square of the distance \( r \) between them:
\[ F = k \frac{|q_1 q_2|}{r^2} \]
where:
- \( F \) is the force between the charges,
- \( k \) is Coulomb's constant,
- \( q_1 \) and \( q_2 \) are the magnitudes of the charges,
- \( r \) is the distance between the charges.
From this relationship, we can conclude that as the distance \( r \) **increases**, the absolute value of the force \( F \) **decreases**.
Therefore, the correct choice is:
**b** increases; decreases
\[ F = k \frac{|q_1 q_2|}{r^2} \]
where:
- \( F \) is the force between the charges,
- \( k \) is Coulomb's constant,
- \( q_1 \) and \( q_2 \) are the magnitudes of the charges,
- \( r \) is the distance between the charges.
From this relationship, we can conclude that as the distance \( r \) **increases**, the absolute value of the force \( F \) **decreases**.
Therefore, the correct choice is:
**b** increases; decreases