When 1.0-µC point charge is 15 m from a second point charge,the force each one experiences a force of 1.0 µN.What is the magnitude of the second charge? (k = 1/4πε₀ = 9.0 × 10⁹ N ∙ m²/C²) A)25 C B)1.0 C C)10 nC D)0.025 C E)25 nC

Question

Quizplus · Accepted Answer

The force between two point charges is given by Coulomb's law:

F = k * q1 * q2 / r^2

where k is the Coulomb constant, q1 and q2 are the charges of the two point charges, and r is the distance between them.

In this problem, we have:

q1 = 1.0 µC = 1.0 × 10^-6 C
r = 15 m
F = 1.0 µN = 1.0 × 10^-6 N

We are asked to find q2. We can rearrange Coulomb's law to solve for q2:

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

Substituting the given values, we get:

q2 = (1.0 × 10^-6 N) * (15 m)^2 / (9.0 × 10^9 N m^2/C^2 * 1.0 × 10^-6 C)

q2 = 25 × 10^-9 C = 25 nC

Therefore, the best choice is E: 25 nC.

When 10-µC Point Charge Is 15 M from a Second Point