Answer :
Final answer:
The value of q is approximately 2.01 × 10^(-19) C.
Explanation:
The magnitude of the electric force between two charges can be calculated using the formula:
F = k * |q1| * |q2| / r^2
In this case, we are given the magnitude of the force F = 2.4 × 10^(-6) N, the distance between the charges r = 3.39 m, and the ratio of the charges q / 3q = 1 / 3. Using these values, we can solve for q.
Substituting the given values into the formula and solving for q, we get:
2.4 × 10^(-6) N = (8.99 × 10^9 N m^2/C^2) * |q| * |3q| / (3.39 m)^2
Simplifying the equation, we find:
q = 2.4 × 10^(-6) N * (3.39 m)^2 / ((8.99 × 10^9 N m^2/C^2) * 3 * 9)
Calculating the value of q, we get q ≈ 2.01 × 10^(-19) C.
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