If the distance between two electrons is doubles, what would happen to the electric force between them?Group of answer choicesThe electric force would be 1/4 as strong.The electric force would be 1/16 as strong.The electric force would be half as strong.The electric force would be weaker depending on the angle between the charges.
Question
If the distance between two electrons is doubles, what would happen to the electric force between them?Group of answer choicesThe electric force would be 1/4 as strong.The electric force would be 1/16 as strong.The electric force would be half as strong.The electric force would be weaker depending on the angle between the charges.
Solution
The electric force between two charges is given by Coulomb's Law, which states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
Mathematically, this is represented as F = k * q1 * q2 / r^2, where:
- F is the force between the charges,
- k is Coulomb's constant,
- q1 and q2 are the amounts of charge,
- r is the distance between the charges.
If the distance between the charges (r) is doubled, then the new force (F') would be F' = k * q1 * q2 / (2r)^2 = k * q1 * q2 / 4r^2.
Comparing the new force (F') with the original force (F), we can see that F' = F/4.
Therefore, if the distance between two electrons is doubled, the electric force between them would be 1/4 as strong.
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