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Charge that makes the potential energy of three charges at a triangle zero

This type of question, asked 7 times: 2 May 2023 S1, 11 May 2024 S1, 12 May 2024 S2, 20 Apr 2025 S1, 25 Apr 2025 S1, 17 Apr 2026 S2, 18 Apr 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    2 May 2023 S1

    29
    Three charges are placed at the vertices of an equilateral triangle as shown in the figure. For what value of charge QQ, the electrostatic potential energy of the system is zero?

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  2. Question 2

    11 May 2024 S1

    44
    Three point charges +q,+2q+q, +2q and +Q+Q are placed at the three vertices of an equilateral triangle. If the potential energy of the system of three charges is zero, the value of Q in terms of q is

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  3. Question 3

    12 May 2024 S2

    31
    Three point charges +Q,+2q+Q, +2q and +q+q are placed at the vertices of a right angled isosceles triangle. The net electrostatic potential energy of the configuration is zero, if QQ is equal to

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  4. Question 4

    20 Apr 2025 S1

    25
    Three-point charges +Q,+2Q+Q, + 2Q and qq are placed at the vertices of an equilateral triangle. The value of charge qq in terms of QQ, so that electrical potential energy of the system is zero, is given by

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  5. Question 5

    25 Apr 2025 S1

    28
    Three charges Q(−2q)Q( - 2q) and (−2q)( - 2q) are placed at the vertices of an isosceles right angled triangle as shown in figure. The net electrostatic potential energy is zero if QQ is equal to

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  6. Question 6

    17 Apr 2026 S2

    125
    Three point charges +q, +2q and +Q are placed at the vertices of an equilateral triangle. If the potential energy of the system of three charges is zero, the value of Q in terms of q is

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  7. Question 7

    18 Apr 2026 S2

    125
    Three point charges Q, +2q+2q and +q+q are placed at the vertices of a right-angled isosceles triangle of length 2a\sqrt{2}a as shown in figure. The net electrostatic potential energy of the configuration is zero, if Q is equal to

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