Question 7 of 10How does the electric force between two charged particles change if one particle's charge is increased by a factor of 2?A.It is decreased by a factor of 4.B.It is increased by a factor of 4.C.It is decreased by a factor of 2.D.It is increased by a factor of 2.
Question
Question 7 of 10How does the electric force between two charged particles change if one particle's charge is increased by a factor of 2?A.It is decreased by a factor of 4.B.It is increased by a factor of 4.C.It is decreased by a factor of 2.D.It is increased by a factor of 2.
Solution
The electric force between two charged particles 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, k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between the charges.
If one particle's charge (say q1) is increased by a factor of 2, the equation becomes F' = k * 2q1 * q2 / r^2.
This simplifies to F' = 2 * (k * q1 * q2 / r^2), which is 2F.
Therefore, if one particle's charge is increased by a factor of 2, the electric force between the two particles is increased by a factor of 2. So, the correct answer is D. It is increased by a factor of 2.
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