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
How can you quadruple the electric force between the two charge particles? A. Increasing the distance between the charges by a factor of two. B. Increasing the product of charges by a factor of two. C. Increasing the distance between the charges by a factor of four. D. Increasing the product of charges by a factor of four
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Melis
Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
Cevap
The correct answer is B. Increasing the product of charges by a factor of two will quadruple the electric force between the two charge particles.
Daha Fazla
## Step 1The problem involves understanding the relationship between the electric force between two charged particles and the distance between them. According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. This relationship can be represented by the formula:###
where
is the force,
is Coulomb's constant,
and
are the charges, and
is the distance between the charges.## Step 2To quadruple the force, we need to increase the numerator of the fraction (the product of the charges) by a factor of four. This is because the force is directly proportional to the product of the charges.## Step 3Increasing the distance between the charges would actually decrease the force, not increase it. This is because the force is inversely proportional to the square of the distance.