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A charge is split into two parts kept a fixed distance apart: the split that gives the maximum force

The same question, asked 3 times: 2021 Paper 11*, 27 Jul 2022*, 13 Apr 2023. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 11

    7
    Two charges are kept at a fixed distance from each other. The sum of both charges is QQ. What should be charge on each of them in order to maximize force between them.

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  2. Question 2

    27 Jul 2022

    100
    A charge of 4μC4\mu C is to be divided into two. The distance between the two divided charges is constant. The magnitude of the divided charges so that the force between them is maximum, will be:

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  3. Question 3

    13 Apr 2023

    107
    A 10μC10\mu C charge is divided into two parts and placed at 1 cm1\text{ }cm distance so that the repulsive force between them is maximum. The charges of the two parts are:

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