Total charge Q is divided between two point objects in such a manner that electric force of repulsion between them is maximum when placed at a separation d from each other. What is the magnitude of this maximum possible electrostatic force between them?

Explanation

To solve the problem, we need to determine the maximum electrostatic force of repulsion between two point charges when a total charge \( Q \) is divided between them. Let's denote the two charges as \( q_1 \) and \( q_2 \). According to the problem, the total charge is conserved, so we have:

\[ q_1 + q_2 = Q \]

We can express \( q_2 \) in terms of \( q_1 \):

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