Question
What is the attractive electric force between two objects with negative charge?
Answers
GPT-4o mini
The force between two objects with negative charge is actually a repulsive force, not an attractive one. According to Coulomb's Law, like charges repel each other, while opposite charges attract. Therefore, if both objects have negative charges, they will repel each other. The magnitude of the repulsive force can be calculated using Coulomb's Law, which is given by the formula:
\[
F = k \frac{|q_1 q_2|}{r^2}
\]
where:
- \( F \) is the magnitude of the force between the charges,
- \( k \) is Coulomb's constant (\(8.99 \times 10^9 \, \text{N m}^2/\text{C}^2\)),
- \( q_1 \) and \( q_2 \) are the charges of the two objects,
- \( r \) is the distance between the centers of the two charges.
Since both charges \( q_1 \) and \( q_2 \) are negative, the force will be repulsive, meaning the two objects will push away from each other.
\[
F = k \frac{|q_1 q_2|}{r^2}
\]
where:
- \( F \) is the magnitude of the force between the charges,
- \( k \) is Coulomb's constant (\(8.99 \times 10^9 \, \text{N m}^2/\text{C}^2\)),
- \( q_1 \) and \( q_2 \) are the charges of the two objects,
- \( r \) is the distance between the centers of the two charges.
Since both charges \( q_1 \) and \( q_2 \) are negative, the force will be repulsive, meaning the two objects will push away from each other.