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Value of a charge that makes the net force on another charge zero

This type of question, asked 5 times: May 2021 S1, 3 May 2023 S2, 11 May 2023 S1, 15 Apr 2026 S2, 12 May 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    May 2021 S1

    44
    Three charges are arranged as the configuration given below. If net force experienced by +Q+Q placed at x=0x = 0 is zero, then the value of qq is

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  2. Question 2

    3 May 2023 S2

    45
    A charge +Q+Q is placed at each of the diagonally opposite corners of a square. A charge −q-q is placed at each of the other diagonally opposite corners as shown. If the net electrical force on +Q+Q is zero, then +Q−q\frac{+Q}{-q} is equal to

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  3. Question 3

    11 May 2023 S1

    29
    Charges 3Q, q and Q are placed along x-axis at positions x=0x = 0, x=13x = \frac{1}{3} and x=1x = 1 respectively. When the force on charge Q is zero, the value of q is

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  4. Question 4

    15 Apr 2026 S2

    126
    A point charge 'Q' is placed at the centre of the line joining two equal charges '+q' and '+q'. The value of 'Q' when the system is in equilibrium is

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  5. Question 5

    12 May 2026 S1

    126
    A charge qq is placed at the centre of the line joining two equal charges QQ. The system of the three charges will be in equilibrium if qq is equal to

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