A 1.0-C point charge is 15 m from a second point charge, and the electric force on one of them due to the other is 1.0 N. What is the magnitude of the second charge? (k = 1/4πε0 = 8.99 × 10⁹N ∙ m²/C²)

Question

Quizplus · Accepted Answer

We use Coulomb's law:

F = k (q1 * q2) / r^2

where F is the force between the charges, q1 and q2 are the magnitudes of the charges, r is the distance between them, and k is the Coulomb constant.

Rearranging the equation, we solve for q2:

q2 = (F * r^2) / (k * q1)

Substituting the given values, we get:

q2 = (1.0 N * (0.015 m)^2) / (8.99 × 10^9 N·m^2/C^2 * 1 C)

q2 = 25 × 10^-9 C

Therefore, the magnitude of the second charge is 25 nC. Answer: E

A 10-C Point Charge Is 15 M from a Second Point